contestId int64 0 1.01k | index stringclasses 57
values | name stringlengths 2 58 | type stringclasses 2
values | rating int64 0 3.5k | tags listlengths 0 11 | title stringclasses 522
values | time-limit stringclasses 8
values | memory-limit stringclasses 8
values | problem-description stringlengths 0 7.15k | input-specification stringlengths 0 2.05k | output-specification stringlengths 0 1.5k | demo-input listlengths 0 7 | demo-output listlengths 0 7 | note stringlengths 0 5.24k | points float64 0 425k | test_cases listlengths 0 402 | creationTimeSeconds int64 1.37B 1.7B | relativeTimeSeconds int64 8 2.15B | programmingLanguage stringclasses 3
values | verdict stringclasses 14
values | testset stringclasses 12
values | passedTestCount int64 0 1k | timeConsumedMillis int64 0 15k | memoryConsumedBytes int64 0 805M | code stringlengths 3 65.5k | prompt stringlengths 262 8.2k | response stringlengths 17 65.5k | score float64 -1 3.99 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
835 | A | Key races | PROGRAMMING | 800 | [
"math"
] | null | null | Two boys decided to compete in text typing on the site "Key races". During the competition, they have to type a text consisting of *s* characters. The first participant types one character in *v*1 milliseconds and has ping *t*1 milliseconds. The second participant types one character in *v*2 milliseconds and has ping *t*2 milliseconds.
If connection ping (delay) is *t* milliseconds, the competition passes for a participant as follows:
1. Exactly after *t* milliseconds after the start of the competition the participant receives the text to be entered. 1. Right after that he starts to type it. 1. Exactly *t* milliseconds after he ends typing all the text, the site receives information about it.
The winner is the participant whose information on the success comes earlier. If the information comes from both participants at the same time, it is considered that there is a draw.
Given the length of the text and the information about participants, determine the result of the game. | The first line contains five integers *s*, *v*1, *v*2, *t*1, *t*2 (1<=≤<=*s*,<=*v*1,<=*v*2,<=*t*1,<=*t*2<=≤<=1000) — the number of characters in the text, the time of typing one character for the first participant, the time of typing one character for the the second participant, the ping of the first participant and the ping of the second participant. | If the first participant wins, print "First". If the second participant wins, print "Second". In case of a draw print "Friendship". | [
"5 1 2 1 2\n",
"3 3 1 1 1\n",
"4 5 3 1 5\n"
] | [
"First\n",
"Second\n",
"Friendship\n"
] | In the first example, information on the success of the first participant comes in 7 milliseconds, of the second participant — in 14 milliseconds. So, the first wins.
In the second example, information on the success of the first participant comes in 11 milliseconds, of the second participant — in 5 milliseconds. So, the second wins.
In the third example, information on the success of the first participant comes in 22 milliseconds, of the second participant — in 22 milliseconds. So, it is be a draw. | 500 | [
{
"input": "5 1 2 1 2",
"output": "First"
},
{
"input": "3 3 1 1 1",
"output": "Second"
},
{
"input": "4 5 3 1 5",
"output": "Friendship"
},
{
"input": "1000 1000 1000 1000 1000",
"output": "Friendship"
},
{
"input": "1 1 1 1 1",
"output": "Friendship"
},
... | 1,681,817,983 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 32 | 77 | 0 | s,v1,v2,t1,t2 = map(int,input().split())
T1 = s * v1 + 2 * t1
T2 = s * v2 + 2 * t2
if T1 == T2:
print('Friendship')
elif T1>T2:
print('Second')
else:
print('First')
| Title: Key races
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Two boys decided to compete in text typing on the site "Key races". During the competition, they have to type a text consisting of *s* characters. The first participant types one character in *v*1 milliseconds and has ping *t*1 milliseconds. The second participant types one character in *v*2 milliseconds and has ping *t*2 milliseconds.
If connection ping (delay) is *t* milliseconds, the competition passes for a participant as follows:
1. Exactly after *t* milliseconds after the start of the competition the participant receives the text to be entered. 1. Right after that he starts to type it. 1. Exactly *t* milliseconds after he ends typing all the text, the site receives information about it.
The winner is the participant whose information on the success comes earlier. If the information comes from both participants at the same time, it is considered that there is a draw.
Given the length of the text and the information about participants, determine the result of the game.
Input Specification:
The first line contains five integers *s*, *v*1, *v*2, *t*1, *t*2 (1<=≤<=*s*,<=*v*1,<=*v*2,<=*t*1,<=*t*2<=≤<=1000) — the number of characters in the text, the time of typing one character for the first participant, the time of typing one character for the the second participant, the ping of the first participant and the ping of the second participant.
Output Specification:
If the first participant wins, print "First". If the second participant wins, print "Second". In case of a draw print "Friendship".
Demo Input:
['5 1 2 1 2\n', '3 3 1 1 1\n', '4 5 3 1 5\n']
Demo Output:
['First\n', 'Second\n', 'Friendship\n']
Note:
In the first example, information on the success of the first participant comes in 7 milliseconds, of the second participant — in 14 milliseconds. So, the first wins.
In the second example, information on the success of the first participant comes in 11 milliseconds, of the second participant — in 5 milliseconds. So, the second wins.
In the third example, information on the success of the first participant comes in 22 milliseconds, of the second participant — in 22 milliseconds. So, it is be a draw. | ```python
s,v1,v2,t1,t2 = map(int,input().split())
T1 = s * v1 + 2 * t1
T2 = s * v2 + 2 * t2
if T1 == T2:
print('Friendship')
elif T1>T2:
print('Second')
else:
print('First')
``` | 3 | |
610 | B | Vika and Squares | PROGRAMMING | 1,300 | [
"constructive algorithms",
"implementation"
] | null | null | Vika has *n* jars with paints of distinct colors. All the jars are numbered from 1 to *n* and the *i*-th jar contains *a**i* liters of paint of color *i*.
Vika also has an infinitely long rectangular piece of paper of width 1, consisting of squares of size 1<=×<=1. Squares are numbered 1, 2, 3 and so on. Vika decided that she will start painting squares one by one from left to right, starting from the square number 1 and some arbitrary color. If the square was painted in color *x*, then the next square will be painted in color *x*<=+<=1. In case of *x*<==<=*n*, next square is painted in color 1. If there is no more paint of the color Vika wants to use now, then she stops.
Square is always painted in only one color, and it takes exactly 1 liter of paint. Your task is to calculate the maximum number of squares that might be painted, if Vika chooses right color to paint the first square. | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of jars with colors Vika has.
The second line of the input contains a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109), where *a**i* is equal to the number of liters of paint in the *i*-th jar, i.e. the number of liters of color *i* that Vika has. | The only line of the output should contain a single integer — the maximum number of squares that Vika can paint if she follows the rules described above. | [
"5\n2 4 2 3 3\n",
"3\n5 5 5\n",
"6\n10 10 10 1 10 10\n"
] | [
"12\n",
"15\n",
"11\n"
] | In the first sample the best strategy is to start painting using color 4. Then the squares will be painted in the following colors (from left to right): 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5.
In the second sample Vika can start to paint using any color.
In the third sample Vika should start painting using color number 5. | 1,000 | [
{
"input": "5\n2 4 2 3 3",
"output": "12"
},
{
"input": "3\n5 5 5",
"output": "15"
},
{
"input": "6\n10 10 10 1 10 10",
"output": "11"
},
{
"input": "1\n167959139",
"output": "167959139"
},
{
"input": "10\n896619242 805194919 844752453 848347723 816995848 85681361... | 1,591,612,211 | 2,147,483,647 | PyPy 3 | OK | TESTS | 66 | 327 | 19,046,400 | from sys import*
def square(a):
k = min(a)
l = [i for i, x in enumerate(a) if x == k]
if(len(l) == 1):
return (n*k + (n-1))
else:
b =[0]*(len(l))
for i in range(len(l) - 1):
b[i] = l[i+1] - l[i]
b[len(l) - 1] = (len(a) - l[len(l)-1] + l[0])
return (n*k + (max(b) - 1))
n = int(input())
a = list(map(int,input().strip().split()))[:n]
print(square(a)) | Title: Vika and Squares
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vika has *n* jars with paints of distinct colors. All the jars are numbered from 1 to *n* and the *i*-th jar contains *a**i* liters of paint of color *i*.
Vika also has an infinitely long rectangular piece of paper of width 1, consisting of squares of size 1<=×<=1. Squares are numbered 1, 2, 3 and so on. Vika decided that she will start painting squares one by one from left to right, starting from the square number 1 and some arbitrary color. If the square was painted in color *x*, then the next square will be painted in color *x*<=+<=1. In case of *x*<==<=*n*, next square is painted in color 1. If there is no more paint of the color Vika wants to use now, then she stops.
Square is always painted in only one color, and it takes exactly 1 liter of paint. Your task is to calculate the maximum number of squares that might be painted, if Vika chooses right color to paint the first square.
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=200<=000) — the number of jars with colors Vika has.
The second line of the input contains a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109), where *a**i* is equal to the number of liters of paint in the *i*-th jar, i.e. the number of liters of color *i* that Vika has.
Output Specification:
The only line of the output should contain a single integer — the maximum number of squares that Vika can paint if she follows the rules described above.
Demo Input:
['5\n2 4 2 3 3\n', '3\n5 5 5\n', '6\n10 10 10 1 10 10\n']
Demo Output:
['12\n', '15\n', '11\n']
Note:
In the first sample the best strategy is to start painting using color 4. Then the squares will be painted in the following colors (from left to right): 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5.
In the second sample Vika can start to paint using any color.
In the third sample Vika should start painting using color number 5. | ```python
from sys import*
def square(a):
k = min(a)
l = [i for i, x in enumerate(a) if x == k]
if(len(l) == 1):
return (n*k + (n-1))
else:
b =[0]*(len(l))
for i in range(len(l) - 1):
b[i] = l[i+1] - l[i]
b[len(l) - 1] = (len(a) - l[len(l)-1] + l[0])
return (n*k + (max(b) - 1))
n = int(input())
a = list(map(int,input().strip().split()))[:n]
print(square(a))
``` | 3 | |
1,006 | A | Adjacent Replacements | PROGRAMMING | 800 | [
"implementation"
] | null | null | Mishka got an integer array $a$ of length $n$ as a birthday present (what a surprise!).
Mishka doesn't like this present and wants to change it somehow. He has invented an algorithm and called it "Mishka's Adjacent Replacements Algorithm". This algorithm can be represented as a sequence of steps:
- Replace each occurrence of $1$ in the array $a$ with $2$; - Replace each occurrence of $2$ in the array $a$ with $1$; - Replace each occurrence of $3$ in the array $a$ with $4$; - Replace each occurrence of $4$ in the array $a$ with $3$; - Replace each occurrence of $5$ in the array $a$ with $6$; - Replace each occurrence of $6$ in the array $a$ with $5$; - $\dots$ - Replace each occurrence of $10^9 - 1$ in the array $a$ with $10^9$; - Replace each occurrence of $10^9$ in the array $a$ with $10^9 - 1$.
Note that the dots in the middle of this algorithm mean that Mishka applies these replacements for each pair of adjacent integers ($2i - 1, 2i$) for each $i \in\{1, 2, \ldots, 5 \cdot 10^8\}$ as described above.
For example, for the array $a = [1, 2, 4, 5, 10]$, the following sequence of arrays represents the algorithm:
$[1, 2, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $1$ with $2$) $\rightarrow$ $[2, 2, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $2$ with $1$) $\rightarrow$ $[1, 1, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $3$ with $4$) $\rightarrow$ $[1, 1, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $4$ with $3$) $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ (replace all occurrences of $5$ with $6$) $\rightarrow$ $[1, 1, 3, 6, 10]$ $\rightarrow$ (replace all occurrences of $6$ with $5$) $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ $\dots$ $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ (replace all occurrences of $10$ with $9$) $\rightarrow$ $[1, 1, 3, 5, 9]$. The later steps of the algorithm do not change the array.
Mishka is very lazy and he doesn't want to apply these changes by himself. But he is very interested in their result. Help him find it. | The first line of the input contains one integer number $n$ ($1 \le n \le 1000$) — the number of elements in Mishka's birthday present (surprisingly, an array).
The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$) — the elements of the array. | Print $n$ integers — $b_1, b_2, \dots, b_n$, where $b_i$ is the final value of the $i$-th element of the array after applying "Mishka's Adjacent Replacements Algorithm" to the array $a$. Note that you cannot change the order of elements in the array. | [
"5\n1 2 4 5 10\n",
"10\n10000 10 50605065 1 5 89 5 999999999 60506056 1000000000\n"
] | [
"1 1 3 5 9\n",
"9999 9 50605065 1 5 89 5 999999999 60506055 999999999\n"
] | The first example is described in the problem statement. | 0 | [
{
"input": "5\n1 2 4 5 10",
"output": "1 1 3 5 9"
},
{
"input": "10\n10000 10 50605065 1 5 89 5 999999999 60506056 1000000000",
"output": "9999 9 50605065 1 5 89 5 999999999 60506055 999999999"
},
{
"input": "1\n999999999",
"output": "999999999"
},
{
"input": "1\n1000000000",... | 1,635,598,793 | 2,147,483,647 | Python 3 | OK | TESTS | 18 | 46 | 4,505,600 | n=int(input())
a=[int(x) for x in input().split()]
for i in a:
print(i-1+i%2,end=' ') | Title: Adjacent Replacements
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mishka got an integer array $a$ of length $n$ as a birthday present (what a surprise!).
Mishka doesn't like this present and wants to change it somehow. He has invented an algorithm and called it "Mishka's Adjacent Replacements Algorithm". This algorithm can be represented as a sequence of steps:
- Replace each occurrence of $1$ in the array $a$ with $2$; - Replace each occurrence of $2$ in the array $a$ with $1$; - Replace each occurrence of $3$ in the array $a$ with $4$; - Replace each occurrence of $4$ in the array $a$ with $3$; - Replace each occurrence of $5$ in the array $a$ with $6$; - Replace each occurrence of $6$ in the array $a$ with $5$; - $\dots$ - Replace each occurrence of $10^9 - 1$ in the array $a$ with $10^9$; - Replace each occurrence of $10^9$ in the array $a$ with $10^9 - 1$.
Note that the dots in the middle of this algorithm mean that Mishka applies these replacements for each pair of adjacent integers ($2i - 1, 2i$) for each $i \in\{1, 2, \ldots, 5 \cdot 10^8\}$ as described above.
For example, for the array $a = [1, 2, 4, 5, 10]$, the following sequence of arrays represents the algorithm:
$[1, 2, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $1$ with $2$) $\rightarrow$ $[2, 2, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $2$ with $1$) $\rightarrow$ $[1, 1, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $3$ with $4$) $\rightarrow$ $[1, 1, 4, 5, 10]$ $\rightarrow$ (replace all occurrences of $4$ with $3$) $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ (replace all occurrences of $5$ with $6$) $\rightarrow$ $[1, 1, 3, 6, 10]$ $\rightarrow$ (replace all occurrences of $6$ with $5$) $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ $\dots$ $\rightarrow$ $[1, 1, 3, 5, 10]$ $\rightarrow$ (replace all occurrences of $10$ with $9$) $\rightarrow$ $[1, 1, 3, 5, 9]$. The later steps of the algorithm do not change the array.
Mishka is very lazy and he doesn't want to apply these changes by himself. But he is very interested in their result. Help him find it.
Input Specification:
The first line of the input contains one integer number $n$ ($1 \le n \le 1000$) — the number of elements in Mishka's birthday present (surprisingly, an array).
The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^9$) — the elements of the array.
Output Specification:
Print $n$ integers — $b_1, b_2, \dots, b_n$, where $b_i$ is the final value of the $i$-th element of the array after applying "Mishka's Adjacent Replacements Algorithm" to the array $a$. Note that you cannot change the order of elements in the array.
Demo Input:
['5\n1 2 4 5 10\n', '10\n10000 10 50605065 1 5 89 5 999999999 60506056 1000000000\n']
Demo Output:
['1 1 3 5 9\n', '9999 9 50605065 1 5 89 5 999999999 60506055 999999999\n']
Note:
The first example is described in the problem statement. | ```python
n=int(input())
a=[int(x) for x in input().split()]
for i in a:
print(i-1+i%2,end=' ')
``` | 3 | |
631 | A | Interview | PROGRAMMING | 900 | [
"brute force",
"implementation"
] | null | null | Blake is a CEO of a large company called "Blake Technologies". He loves his company very much and he thinks that his company should be the best. That is why every candidate needs to pass through the interview that consists of the following problem.
We define function *f*(*x*,<=*l*,<=*r*) as a bitwise OR of integers *x**l*,<=*x**l*<=+<=1,<=...,<=*x**r*, where *x**i* is the *i*-th element of the array *x*. You are given two arrays *a* and *b* of length *n*. You need to determine the maximum value of sum *f*(*a*,<=*l*,<=*r*)<=+<=*f*(*b*,<=*l*,<=*r*) among all possible 1<=≤<=*l*<=≤<=*r*<=≤<=*n*. | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the length of the arrays.
The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=109).
The third line contains *n* integers *b**i* (0<=≤<=*b**i*<=≤<=109). | Print a single integer — the maximum value of sum *f*(*a*,<=*l*,<=*r*)<=+<=*f*(*b*,<=*l*,<=*r*) among all possible 1<=≤<=*l*<=≤<=*r*<=≤<=*n*. | [
"5\n1 2 4 3 2\n2 3 3 12 1\n",
"10\n13 2 7 11 8 4 9 8 5 1\n5 7 18 9 2 3 0 11 8 6\n"
] | [
"22",
"46"
] | Bitwise OR of two non-negative integers *a* and *b* is the number *c* = *a* *OR* *b*, such that each of its digits in binary notation is 1 if and only if at least one of *a* or *b* have 1 in the corresponding position in binary notation.
In the first sample, one of the optimal answers is *l* = 2 and *r* = 4, because *f*(*a*, 2, 4) + *f*(*b*, 2, 4) = (2 *OR* 4 *OR* 3) + (3 *OR* 3 *OR* 12) = 7 + 15 = 22. Other ways to get maximum value is to choose *l* = 1 and *r* = 4, *l* = 1 and *r* = 5, *l* = 2 and *r* = 4, *l* = 2 and *r* = 5, *l* = 3 and *r* = 4, or *l* = 3 and *r* = 5.
In the second sample, the maximum value is obtained for *l* = 1 and *r* = 9. | 500 | [
{
"input": "5\n1 2 4 3 2\n2 3 3 12 1",
"output": "22"
},
{
"input": "10\n13 2 7 11 8 4 9 8 5 1\n5 7 18 9 2 3 0 11 8 6",
"output": "46"
},
{
"input": "25\n12 30 38 109 81 124 80 33 38 48 29 78 96 48 96 27 80 77 102 65 80 113 31 118 35\n25 64 95 13 12 6 111 80 85 16 61 119 23 65 73 65 20 9... | 1,585,948,234 | 2,147,483,647 | Python 3 | OK | TESTS | 27 | 93 | 307,200 | import sys
import math
#to read string
get_string = lambda: sys.stdin.readline().strip()
#to read list of integers
get_int_list = lambda: list( map(int,sys.stdin.readline().strip().split()) )
#to read integers
get_int = lambda: int(sys.stdin.readline())
#--------------------------------WhiteHat010--------------------------------------#
n = get_int()
lst1 = get_int_list()
lst2 = get_int_list()
a = b = 0
for i in range(n):
a = a|lst1[i]
b = b|lst2[i]
print(a+b)
| Title: Interview
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Blake is a CEO of a large company called "Blake Technologies". He loves his company very much and he thinks that his company should be the best. That is why every candidate needs to pass through the interview that consists of the following problem.
We define function *f*(*x*,<=*l*,<=*r*) as a bitwise OR of integers *x**l*,<=*x**l*<=+<=1,<=...,<=*x**r*, where *x**i* is the *i*-th element of the array *x*. You are given two arrays *a* and *b* of length *n*. You need to determine the maximum value of sum *f*(*a*,<=*l*,<=*r*)<=+<=*f*(*b*,<=*l*,<=*r*) among all possible 1<=≤<=*l*<=≤<=*r*<=≤<=*n*.
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the length of the arrays.
The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=109).
The third line contains *n* integers *b**i* (0<=≤<=*b**i*<=≤<=109).
Output Specification:
Print a single integer — the maximum value of sum *f*(*a*,<=*l*,<=*r*)<=+<=*f*(*b*,<=*l*,<=*r*) among all possible 1<=≤<=*l*<=≤<=*r*<=≤<=*n*.
Demo Input:
['5\n1 2 4 3 2\n2 3 3 12 1\n', '10\n13 2 7 11 8 4 9 8 5 1\n5 7 18 9 2 3 0 11 8 6\n']
Demo Output:
['22', '46']
Note:
Bitwise OR of two non-negative integers *a* and *b* is the number *c* = *a* *OR* *b*, such that each of its digits in binary notation is 1 if and only if at least one of *a* or *b* have 1 in the corresponding position in binary notation.
In the first sample, one of the optimal answers is *l* = 2 and *r* = 4, because *f*(*a*, 2, 4) + *f*(*b*, 2, 4) = (2 *OR* 4 *OR* 3) + (3 *OR* 3 *OR* 12) = 7 + 15 = 22. Other ways to get maximum value is to choose *l* = 1 and *r* = 4, *l* = 1 and *r* = 5, *l* = 2 and *r* = 4, *l* = 2 and *r* = 5, *l* = 3 and *r* = 4, or *l* = 3 and *r* = 5.
In the second sample, the maximum value is obtained for *l* = 1 and *r* = 9. | ```python
import sys
import math
#to read string
get_string = lambda: sys.stdin.readline().strip()
#to read list of integers
get_int_list = lambda: list( map(int,sys.stdin.readline().strip().split()) )
#to read integers
get_int = lambda: int(sys.stdin.readline())
#--------------------------------WhiteHat010--------------------------------------#
n = get_int()
lst1 = get_int_list()
lst2 = get_int_list()
a = b = 0
for i in range(n):
a = a|lst1[i]
b = b|lst2[i]
print(a+b)
``` | 3 | |
58 | A | Chat room | PROGRAMMING | 1,000 | [
"greedy",
"strings"
] | A. Chat room | 1 | 256 | Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*. | The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters. | If Vasya managed to say hello, print "YES", otherwise print "NO". | [
"ahhellllloou\n",
"hlelo\n"
] | [
"YES\n",
"NO\n"
] | none | 500 | [
{
"input": "ahhellllloou",
"output": "YES"
},
{
"input": "hlelo",
"output": "NO"
},
{
"input": "helhcludoo",
"output": "YES"
},
{
"input": "hehwelloho",
"output": "YES"
},
{
"input": "pnnepelqomhhheollvlo",
"output": "YES"
},
{
"input": "tymbzjyqhymeda... | 1,629,309,450 | 2,147,483,647 | Python 3 | OK | TESTS | 40 | 93 | 6,758,400 | def f(s, slovo):
if slovo == "":
return True
elif s == "":
return False
b = False
for i in range(len(s)):
if s[i] == slovo[0]:
b += f(s[i+1:], slovo[1:])
return b
s = input()
if f(s, "hello"):
print("YES")
else:
print("NO") | Title: Chat room
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya has recently learned to type and log on to the Internet. He immediately entered a chat room and decided to say hello to everybody. Vasya typed the word *s*. It is considered that Vasya managed to say hello if several letters can be deleted from the typed word so that it resulted in the word "hello". For example, if Vasya types the word "ahhellllloou", it will be considered that he said hello, and if he types "hlelo", it will be considered that Vasya got misunderstood and he didn't manage to say hello. Determine whether Vasya managed to say hello by the given word *s*.
Input Specification:
The first and only line contains the word *s*, which Vasya typed. This word consisits of small Latin letters, its length is no less that 1 and no more than 100 letters.
Output Specification:
If Vasya managed to say hello, print "YES", otherwise print "NO".
Demo Input:
['ahhellllloou\n', 'hlelo\n']
Demo Output:
['YES\n', 'NO\n']
Note:
none | ```python
def f(s, slovo):
if slovo == "":
return True
elif s == "":
return False
b = False
for i in range(len(s)):
if s[i] == slovo[0]:
b += f(s[i+1:], slovo[1:])
return b
s = input()
if f(s, "hello"):
print("YES")
else:
print("NO")
``` | 3.940911 |
224 | A | Parallelepiped | PROGRAMMING | 1,100 | [
"brute force",
"geometry",
"math"
] | null | null | You've got a rectangular parallelepiped with integer edge lengths. You know the areas of its three faces that have a common vertex. Your task is to find the sum of lengths of all 12 edges of this parallelepiped. | The first and the single line contains three space-separated integers — the areas of the parallelepiped's faces. The area's values are positive (<=><=0) and do not exceed 104. It is guaranteed that there exists at least one parallelepiped that satisfies the problem statement. | Print a single number — the sum of all edges of the parallelepiped. | [
"1 1 1\n",
"4 6 6\n"
] | [
"12\n",
"28\n"
] | In the first sample the parallelepiped has sizes 1 × 1 × 1, in the second one — 2 × 2 × 3. | 500 | [
{
"input": "1 1 1",
"output": "12"
},
{
"input": "4 6 6",
"output": "28"
},
{
"input": "20 10 50",
"output": "68"
},
{
"input": "9 4 36",
"output": "56"
},
{
"input": "324 9 36",
"output": "184"
},
{
"input": "1333 93 129",
"output": "308"
},
{... | 1,554,469,583 | 2,147,483,647 | Python 3 | OK | TESTS | 27 | 216 | 0 | import math
an = list(map(int, input().split()))
a = int(math.sqrt(an[1]*an[2]/an[0])*an[0]/an[1])
b = int(math.sqrt(an[1]*an[2]/an[0])*an[0]/an[2])
c = int(math.sqrt(an[1]*an[2]/an[0]))
print(str(a*4+b*4+c*4))
| Title: Parallelepiped
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You've got a rectangular parallelepiped with integer edge lengths. You know the areas of its three faces that have a common vertex. Your task is to find the sum of lengths of all 12 edges of this parallelepiped.
Input Specification:
The first and the single line contains three space-separated integers — the areas of the parallelepiped's faces. The area's values are positive (<=><=0) and do not exceed 104. It is guaranteed that there exists at least one parallelepiped that satisfies the problem statement.
Output Specification:
Print a single number — the sum of all edges of the parallelepiped.
Demo Input:
['1 1 1\n', '4 6 6\n']
Demo Output:
['12\n', '28\n']
Note:
In the first sample the parallelepiped has sizes 1 × 1 × 1, in the second one — 2 × 2 × 3. | ```python
import math
an = list(map(int, input().split()))
a = int(math.sqrt(an[1]*an[2]/an[0])*an[0]/an[1])
b = int(math.sqrt(an[1]*an[2]/an[0])*an[0]/an[2])
c = int(math.sqrt(an[1]*an[2]/an[0]))
print(str(a*4+b*4+c*4))
``` | 3 | |
791 | A | Bear and Big Brother | PROGRAMMING | 800 | [
"implementation"
] | null | null | Bear Limak wants to become the largest of bears, or at least to become larger than his brother Bob.
Right now, Limak and Bob weigh *a* and *b* respectively. It's guaranteed that Limak's weight is smaller than or equal to his brother's weight.
Limak eats a lot and his weight is tripled after every year, while Bob's weight is doubled after every year.
After how many full years will Limak become strictly larger (strictly heavier) than Bob? | The only line of the input contains two integers *a* and *b* (1<=≤<=*a*<=≤<=*b*<=≤<=10) — the weight of Limak and the weight of Bob respectively. | Print one integer, denoting the integer number of years after which Limak will become strictly larger than Bob. | [
"4 7\n",
"4 9\n",
"1 1\n"
] | [
"2\n",
"3\n",
"1\n"
] | In the first sample, Limak weighs 4 and Bob weighs 7 initially. After one year their weights are 4·3 = 12 and 7·2 = 14 respectively (one weight is tripled while the other one is doubled). Limak isn't larger than Bob yet. After the second year weights are 36 and 28, so the first weight is greater than the second one. Limak became larger than Bob after two years so you should print 2.
In the second sample, Limak's and Bob's weights in next years are: 12 and 18, then 36 and 36, and finally 108 and 72 (after three years). The answer is 3. Remember that Limak wants to be larger than Bob and he won't be satisfied with equal weights.
In the third sample, Limak becomes larger than Bob after the first year. Their weights will be 3 and 2 then. | 500 | [
{
"input": "4 7",
"output": "2"
},
{
"input": "4 9",
"output": "3"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "4 6",
"output": "2"
},
{
"input": "1 10",
"output": "6"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "1 2",
"output... | 1,695,734,649 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 62 | 62 | 0 | a, b = map(int, input().split())
years = 0
i = 0
while True:
if a <= b:
a *= 3
b *= 2
if a > b:
years += (i + 1)
break
i += 1
print(years)
| Title: Bear and Big Brother
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Bear Limak wants to become the largest of bears, or at least to become larger than his brother Bob.
Right now, Limak and Bob weigh *a* and *b* respectively. It's guaranteed that Limak's weight is smaller than or equal to his brother's weight.
Limak eats a lot and his weight is tripled after every year, while Bob's weight is doubled after every year.
After how many full years will Limak become strictly larger (strictly heavier) than Bob?
Input Specification:
The only line of the input contains two integers *a* and *b* (1<=≤<=*a*<=≤<=*b*<=≤<=10) — the weight of Limak and the weight of Bob respectively.
Output Specification:
Print one integer, denoting the integer number of years after which Limak will become strictly larger than Bob.
Demo Input:
['4 7\n', '4 9\n', '1 1\n']
Demo Output:
['2\n', '3\n', '1\n']
Note:
In the first sample, Limak weighs 4 and Bob weighs 7 initially. After one year their weights are 4·3 = 12 and 7·2 = 14 respectively (one weight is tripled while the other one is doubled). Limak isn't larger than Bob yet. After the second year weights are 36 and 28, so the first weight is greater than the second one. Limak became larger than Bob after two years so you should print 2.
In the second sample, Limak's and Bob's weights in next years are: 12 and 18, then 36 and 36, and finally 108 and 72 (after three years). The answer is 3. Remember that Limak wants to be larger than Bob and he won't be satisfied with equal weights.
In the third sample, Limak becomes larger than Bob after the first year. Their weights will be 3 and 2 then. | ```python
a, b = map(int, input().split())
years = 0
i = 0
while True:
if a <= b:
a *= 3
b *= 2
if a > b:
years += (i + 1)
break
i += 1
print(years)
``` | 3 | |
5 | A | Chat Servers Outgoing Traffic | PROGRAMMING | 1,000 | [
"implementation"
] | A. Chat Server's Outgoing Traffic | 1 | 64 | Polycarp is working on a new project called "Polychat". Following modern tendencies in IT, he decided, that this project should contain chat as well. To achieve this goal, Polycarp has spent several hours in front of his laptop and implemented a chat server that can process three types of commands:
- Include a person to the chat ('Add' command). - Remove a person from the chat ('Remove' command). - Send a message from a person to all people, who are currently in the chat, including the one, who sends the message ('Send' command).
Now Polycarp wants to find out the amount of outgoing traffic that the server will produce while processing a particular set of commands.
Polycarp knows that chat server sends no traffic for 'Add' and 'Remove' commands. When 'Send' command is processed, server sends *l* bytes to each participant of the chat, where *l* is the length of the message.
As Polycarp has no time, he is asking for your help in solving this problem. | Input file will contain not more than 100 commands, each in its own line. No line will exceed 100 characters. Formats of the commands will be the following:
- +<name> for 'Add' command. - -<name> for 'Remove' command. - <sender_name>:<message_text> for 'Send' command.
<name> and <sender_name> is a non-empty sequence of Latin letters and digits. <message_text> can contain letters, digits and spaces, but can't start or end with a space. <message_text> can be an empty line.
It is guaranteed, that input data are correct, i.e. there will be no 'Add' command if person with such a name is already in the chat, there will be no 'Remove' command if there is no person with such a name in the chat etc.
All names are case-sensitive. | Print a single number — answer to the problem. | [
"+Mike\nMike:hello\n+Kate\n+Dmitry\n-Dmitry\nKate:hi\n-Kate\n",
"+Mike\n-Mike\n+Mike\nMike:Hi I am here\n-Mike\n+Kate\n-Kate\n"
] | [
"9\n",
"14\n"
] | none | 0 | [
{
"input": "+Mike\nMike:hello\n+Kate\n+Dmitry\n-Dmitry\nKate:hi\n-Kate",
"output": "9"
},
{
"input": "+Mike\n-Mike\n+Mike\nMike:Hi I am here\n-Mike\n+Kate\n-Kate",
"output": "14"
},
{
"input": "+Dmitry\n+Mike\nDmitry:All letters will be used\nDmitry:qwertyuiopasdfghjklzxcvbnm QWERTYUIO... | 1,493,280,321 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 60 | 5,529,600 | # -*- coding: utf-8 -*-
f = open('input.txt', 'r', encoding="utf-8")
x = f.readline().rstrip('\n')
s = 0
while x!='':
if x[0]!='+' and x[0]!='-':
i = x.index(':')
s += len(x[i+1:])
x = f.readline().rstrip('\n')
print(s)
f.close()
| Title: Chat Servers Outgoing Traffic
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
Polycarp is working on a new project called "Polychat". Following modern tendencies in IT, he decided, that this project should contain chat as well. To achieve this goal, Polycarp has spent several hours in front of his laptop and implemented a chat server that can process three types of commands:
- Include a person to the chat ('Add' command). - Remove a person from the chat ('Remove' command). - Send a message from a person to all people, who are currently in the chat, including the one, who sends the message ('Send' command).
Now Polycarp wants to find out the amount of outgoing traffic that the server will produce while processing a particular set of commands.
Polycarp knows that chat server sends no traffic for 'Add' and 'Remove' commands. When 'Send' command is processed, server sends *l* bytes to each participant of the chat, where *l* is the length of the message.
As Polycarp has no time, he is asking for your help in solving this problem.
Input Specification:
Input file will contain not more than 100 commands, each in its own line. No line will exceed 100 characters. Formats of the commands will be the following:
- +<name> for 'Add' command. - -<name> for 'Remove' command. - <sender_name>:<message_text> for 'Send' command.
<name> and <sender_name> is a non-empty sequence of Latin letters and digits. <message_text> can contain letters, digits and spaces, but can't start or end with a space. <message_text> can be an empty line.
It is guaranteed, that input data are correct, i.e. there will be no 'Add' command if person with such a name is already in the chat, there will be no 'Remove' command if there is no person with such a name in the chat etc.
All names are case-sensitive.
Output Specification:
Print a single number — answer to the problem.
Demo Input:
['+Mike\nMike:hello\n+Kate\n+Dmitry\n-Dmitry\nKate:hi\n-Kate\n', '+Mike\n-Mike\n+Mike\nMike:Hi I am here\n-Mike\n+Kate\n-Kate\n']
Demo Output:
['9\n', '14\n']
Note:
none | ```python
# -*- coding: utf-8 -*-
f = open('input.txt', 'r', encoding="utf-8")
x = f.readline().rstrip('\n')
s = 0
while x!='':
if x[0]!='+' and x[0]!='-':
i = x.index(':')
s += len(x[i+1:])
x = f.readline().rstrip('\n')
print(s)
f.close()
``` | -1 |
776 | B | Sherlock and his girlfriend | PROGRAMMING | 1,200 | [
"constructive algorithms",
"number theory"
] | null | null | Sherlock has a new girlfriend (so unlike him!). Valentine's day is coming and he wants to gift her some jewelry.
He bought *n* pieces of jewelry. The *i*-th piece has price equal to *i*<=+<=1, that is, the prices of the jewelry are 2,<=3,<=4,<=... *n*<=+<=1.
Watson gave Sherlock a challenge to color these jewelry pieces such that two pieces don't have the same color if the price of one piece is a prime divisor of the price of the other piece. Also, Watson asked him to minimize the number of different colors used.
Help Sherlock complete this trivial task. | The only line contains single integer *n* (1<=≤<=*n*<=≤<=100000) — the number of jewelry pieces. | The first line of output should contain a single integer *k*, the minimum number of colors that can be used to color the pieces of jewelry with the given constraints.
The next line should consist of *n* space-separated integers (between 1 and *k*) that specify the color of each piece in the order of increasing price.
If there are multiple ways to color the pieces using *k* colors, you can output any of them. | [
"3\n",
"4\n"
] | [
"2\n1 1 2 ",
"2\n2 1 1 2\n"
] | In the first input, the colors for first, second and third pieces of jewelry having respective prices 2, 3 and 4 are 1, 1 and 2 respectively.
In this case, as 2 is a prime divisor of 4, colors of jewelry having prices 2 and 4 must be distinct. | 1,000 | [
{
"input": "3",
"output": "2\n1 1 2 "
},
{
"input": "4",
"output": "2\n1 1 2 1 "
},
{
"input": "17",
"output": "2\n1 1 2 1 2 1 2 2 2 1 2 1 2 2 2 1 2 "
},
{
"input": "25",
"output": "2\n1 1 2 1 2 1 2 2 2 1 2 1 2 2 2 1 2 1 2 2 2 1 2 2 2 "
},
{
"input": "85",
"ou... | 1,679,736,512 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 31 | 0 | # LUOGU_RID: 105867500
n = int(input())
# 筛法求素数
is_prime = [True] * (n + 2)
is_prime[0] = is_prime[1] = False
for i in range(2, int(n**0.5) + 1):
if is_prime[i]:
for j in range(i * i, n + 2, i):
is_prime[j] = False
# 并查集
fa = list(range(n + 2))
def find(x):
if x != fa[x]:
fa[x] = find(fa[x])
return fa[x]
for i in range(2, n + 2):
if is_prime[i]:
for j in range(i * 2, n + 2, i):
if is_prime[j]:
fa[find(i)] = find(j)
# 输出方案
colors = [0] * (n + 2)
k = 0
for i in range(2, n + 2):
if is_prime[i] or find(i) == i:
k += 1
colors[i] = k
for i in range(2, n + 2):
if not is_prime[i] and find(i) != i:
colors[i] = colors[find(i)]
print(k)
print(' '.join(str(colors[i]) for i in range(2, n + 2)))
| Title: Sherlock and his girlfriend
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Sherlock has a new girlfriend (so unlike him!). Valentine's day is coming and he wants to gift her some jewelry.
He bought *n* pieces of jewelry. The *i*-th piece has price equal to *i*<=+<=1, that is, the prices of the jewelry are 2,<=3,<=4,<=... *n*<=+<=1.
Watson gave Sherlock a challenge to color these jewelry pieces such that two pieces don't have the same color if the price of one piece is a prime divisor of the price of the other piece. Also, Watson asked him to minimize the number of different colors used.
Help Sherlock complete this trivial task.
Input Specification:
The only line contains single integer *n* (1<=≤<=*n*<=≤<=100000) — the number of jewelry pieces.
Output Specification:
The first line of output should contain a single integer *k*, the minimum number of colors that can be used to color the pieces of jewelry with the given constraints.
The next line should consist of *n* space-separated integers (between 1 and *k*) that specify the color of each piece in the order of increasing price.
If there are multiple ways to color the pieces using *k* colors, you can output any of them.
Demo Input:
['3\n', '4\n']
Demo Output:
['2\n1 1 2 ', '2\n2 1 1 2\n']
Note:
In the first input, the colors for first, second and third pieces of jewelry having respective prices 2, 3 and 4 are 1, 1 and 2 respectively.
In this case, as 2 is a prime divisor of 4, colors of jewelry having prices 2 and 4 must be distinct. | ```python
# LUOGU_RID: 105867500
n = int(input())
# 筛法求素数
is_prime = [True] * (n + 2)
is_prime[0] = is_prime[1] = False
for i in range(2, int(n**0.5) + 1):
if is_prime[i]:
for j in range(i * i, n + 2, i):
is_prime[j] = False
# 并查集
fa = list(range(n + 2))
def find(x):
if x != fa[x]:
fa[x] = find(fa[x])
return fa[x]
for i in range(2, n + 2):
if is_prime[i]:
for j in range(i * 2, n + 2, i):
if is_prime[j]:
fa[find(i)] = find(j)
# 输出方案
colors = [0] * (n + 2)
k = 0
for i in range(2, n + 2):
if is_prime[i] or find(i) == i:
k += 1
colors[i] = k
for i in range(2, n + 2):
if not is_prime[i] and find(i) != i:
colors[i] = colors[find(i)]
print(k)
print(' '.join(str(colors[i]) for i in range(2, n + 2)))
``` | 0 | |
9 | A | Die Roll | PROGRAMMING | 800 | [
"math",
"probabilities"
] | A. Die Roll | 1 | 64 | Yakko, Wakko and Dot, world-famous animaniacs, decided to rest from acting in cartoons, and take a leave to travel a bit. Yakko dreamt to go to Pennsylvania, his Motherland and the Motherland of his ancestors. Wakko thought about Tasmania, its beaches, sun and sea. Dot chose Transylvania as the most mysterious and unpredictable place.
But to their great regret, the leave turned to be very short, so it will be enough to visit one of the three above named places. That's why Yakko, as the cleverest, came up with a truly genius idea: let each of the three roll an ordinary six-sided die, and the one with the highest amount of points will be the winner, and will take the other two to the place of his/her dreams.
Yakko thrown a die and got Y points, Wakko — W points. It was Dot's turn. But she didn't hurry. Dot wanted to know for sure what were her chances to visit Transylvania.
It is known that Yakko and Wakko are true gentlemen, that's why if they have the same amount of points with Dot, they will let Dot win. | The only line of the input file contains two natural numbers Y and W — the results of Yakko's and Wakko's die rolls. | Output the required probability in the form of irreducible fraction in format «A/B», where A — the numerator, and B — the denominator. If the required probability equals to zero, output «0/1». If the required probability equals to 1, output «1/1». | [
"4 2\n"
] | [
"1/2\n"
] | Dot will go to Transylvania, if she is lucky to roll 4, 5 or 6 points. | 0 | [
{
"input": "4 2",
"output": "1/2"
},
{
"input": "1 1",
"output": "1/1"
},
{
"input": "1 2",
"output": "5/6"
},
{
"input": "1 3",
"output": "2/3"
},
{
"input": "1 4",
"output": "1/2"
},
{
"input": "1 5",
"output": "1/3"
},
{
"input": "1 6",
... | 1,581,795,667 | 2,147,483,647 | Python 3 | OK | TESTS | 36 | 342 | 1,228,800 | from fractions import Fraction
throws_of_dice = [int(i) for i in input().split()]
maximum = max(throws_of_dice)
higher_numbers_that_can_get = 7 - maximum
probability = Fraction(higher_numbers_that_can_get, 6)
if probability == 0:
probability = "0/1"
if probability == 1:
probability = "1/1"
print(probability)
| Title: Die Roll
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
Yakko, Wakko and Dot, world-famous animaniacs, decided to rest from acting in cartoons, and take a leave to travel a bit. Yakko dreamt to go to Pennsylvania, his Motherland and the Motherland of his ancestors. Wakko thought about Tasmania, its beaches, sun and sea. Dot chose Transylvania as the most mysterious and unpredictable place.
But to their great regret, the leave turned to be very short, so it will be enough to visit one of the three above named places. That's why Yakko, as the cleverest, came up with a truly genius idea: let each of the three roll an ordinary six-sided die, and the one with the highest amount of points will be the winner, and will take the other two to the place of his/her dreams.
Yakko thrown a die and got Y points, Wakko — W points. It was Dot's turn. But she didn't hurry. Dot wanted to know for sure what were her chances to visit Transylvania.
It is known that Yakko and Wakko are true gentlemen, that's why if they have the same amount of points with Dot, they will let Dot win.
Input Specification:
The only line of the input file contains two natural numbers Y and W — the results of Yakko's and Wakko's die rolls.
Output Specification:
Output the required probability in the form of irreducible fraction in format «A/B», where A — the numerator, and B — the denominator. If the required probability equals to zero, output «0/1». If the required probability equals to 1, output «1/1».
Demo Input:
['4 2\n']
Demo Output:
['1/2\n']
Note:
Dot will go to Transylvania, if she is lucky to roll 4, 5 or 6 points. | ```python
from fractions import Fraction
throws_of_dice = [int(i) for i in input().split()]
maximum = max(throws_of_dice)
higher_numbers_that_can_get = 7 - maximum
probability = Fraction(higher_numbers_that_can_get, 6)
if probability == 0:
probability = "0/1"
if probability == 1:
probability = "1/1"
print(probability)
``` | 3.819845 |
803 | B | Distances to Zero | PROGRAMMING | 1,200 | [
"constructive algorithms"
] | null | null | You are given the array of integer numbers *a*0,<=*a*1,<=...,<=*a**n*<=-<=1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array. | The first line contains integer *n* (1<=≤<=*n*<=≤<=2·105) — length of the array *a*. The second line contains integer elements of the array separated by single spaces (<=-<=109<=≤<=*a**i*<=≤<=109). | Print the sequence *d*0,<=*d*1,<=...,<=*d**n*<=-<=1, where *d**i* is the difference of indices between *i* and nearest *j* such that *a**j*<==<=0. It is possible that *i*<==<=*j*. | [
"9\n2 1 0 3 0 0 3 2 4\n",
"5\n0 1 2 3 4\n",
"7\n5 6 0 1 -2 3 4\n"
] | [
"2 1 0 1 0 0 1 2 3 ",
"0 1 2 3 4 ",
"2 1 0 1 2 3 4 "
] | none | 0 | [
{
"input": "9\n2 1 0 3 0 0 3 2 4",
"output": "2 1 0 1 0 0 1 2 3 "
},
{
"input": "5\n0 1 2 3 4",
"output": "0 1 2 3 4 "
},
{
"input": "7\n5 6 0 1 -2 3 4",
"output": "2 1 0 1 2 3 4 "
},
{
"input": "1\n0",
"output": "0 "
},
{
"input": "2\n0 0",
"output": "0 0 "
... | 1,595,923,585 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 0 | 2,000 | 6,963,200 | while 1:
print("**/88",end=" ") | Title: Distances to Zero
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given the array of integer numbers *a*0,<=*a*1,<=...,<=*a**n*<=-<=1. For each element find the distance to the nearest zero (to the element which equals to zero). There is at least one zero element in the given array.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=2·105) — length of the array *a*. The second line contains integer elements of the array separated by single spaces (<=-<=109<=≤<=*a**i*<=≤<=109).
Output Specification:
Print the sequence *d*0,<=*d*1,<=...,<=*d**n*<=-<=1, where *d**i* is the difference of indices between *i* and nearest *j* such that *a**j*<==<=0. It is possible that *i*<==<=*j*.
Demo Input:
['9\n2 1 0 3 0 0 3 2 4\n', '5\n0 1 2 3 4\n', '7\n5 6 0 1 -2 3 4\n']
Demo Output:
['2 1 0 1 0 0 1 2 3 ', '0 1 2 3 4 ', '2 1 0 1 2 3 4 ']
Note:
none | ```python
while 1:
print("**/88",end=" ")
``` | 0 | |
748 | A | Santa Claus and a Place in a Class | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | Santa Claus is the first who came to the Christmas Olympiad, and he is going to be the first to take his place at a desk! In the classroom there are *n* lanes of *m* desks each, and there are two working places at each of the desks. The lanes are numbered from 1 to *n* from the left to the right, the desks in a lane are numbered from 1 to *m* starting from the blackboard. Note that the lanes go perpendicularly to the blackboard, not along it (see picture).
The organizers numbered all the working places from 1 to 2*nm*. The places are numbered by lanes (i. e. all the places of the first lane go first, then all the places of the second lane, and so on), in a lane the places are numbered starting from the nearest to the blackboard (i. e. from the first desk in the lane), at each desk, the place on the left is numbered before the place on the right.
Santa Clause knows that his place has number *k*. Help him to determine at which lane at which desk he should sit, and whether his place is on the left or on the right! | The only line contains three integers *n*, *m* and *k* (1<=≤<=*n*,<=*m*<=≤<=10<=000, 1<=≤<=*k*<=≤<=2*nm*) — the number of lanes, the number of desks in each lane and the number of Santa Claus' place. | Print two integers: the number of lane *r*, the number of desk *d*, and a character *s*, which stands for the side of the desk Santa Claus. The character *s* should be "L", if Santa Clause should sit on the left, and "R" if his place is on the right. | [
"4 3 9\n",
"4 3 24\n",
"2 4 4\n"
] | [
"2 2 L\n",
"4 3 R\n",
"1 2 R\n"
] | The first and the second samples are shown on the picture. The green place corresponds to Santa Claus' place in the first example, the blue place corresponds to Santa Claus' place in the second example.
In the third sample there are two lanes with four desks in each, and Santa Claus has the fourth place. Thus, his place is in the first lane at the second desk on the right. | 500 | [
{
"input": "4 3 9",
"output": "2 2 L"
},
{
"input": "4 3 24",
"output": "4 3 R"
},
{
"input": "2 4 4",
"output": "1 2 R"
},
{
"input": "3 10 24",
"output": "2 2 R"
},
{
"input": "10 3 59",
"output": "10 3 L"
},
{
"input": "10000 10000 160845880",
"... | 1,489,576,757 | 2,147,483,647 | Python 3 | OK | TESTS | 46 | 62 | 4,608,000 | n,m,k=map(int,input().split())
x=k
print((k-1)//(m*2)+1,end=' ')
k=(k-1)%(m*2)
print(k//2+1,end=" ")
if x%2==0:
print("R")
else:
print("L")
| Title: Santa Claus and a Place in a Class
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Santa Claus is the first who came to the Christmas Olympiad, and he is going to be the first to take his place at a desk! In the classroom there are *n* lanes of *m* desks each, and there are two working places at each of the desks. The lanes are numbered from 1 to *n* from the left to the right, the desks in a lane are numbered from 1 to *m* starting from the blackboard. Note that the lanes go perpendicularly to the blackboard, not along it (see picture).
The organizers numbered all the working places from 1 to 2*nm*. The places are numbered by lanes (i. e. all the places of the first lane go first, then all the places of the second lane, and so on), in a lane the places are numbered starting from the nearest to the blackboard (i. e. from the first desk in the lane), at each desk, the place on the left is numbered before the place on the right.
Santa Clause knows that his place has number *k*. Help him to determine at which lane at which desk he should sit, and whether his place is on the left or on the right!
Input Specification:
The only line contains three integers *n*, *m* and *k* (1<=≤<=*n*,<=*m*<=≤<=10<=000, 1<=≤<=*k*<=≤<=2*nm*) — the number of lanes, the number of desks in each lane and the number of Santa Claus' place.
Output Specification:
Print two integers: the number of lane *r*, the number of desk *d*, and a character *s*, which stands for the side of the desk Santa Claus. The character *s* should be "L", if Santa Clause should sit on the left, and "R" if his place is on the right.
Demo Input:
['4 3 9\n', '4 3 24\n', '2 4 4\n']
Demo Output:
['2 2 L\n', '4 3 R\n', '1 2 R\n']
Note:
The first and the second samples are shown on the picture. The green place corresponds to Santa Claus' place in the first example, the blue place corresponds to Santa Claus' place in the second example.
In the third sample there are two lanes with four desks in each, and Santa Claus has the fourth place. Thus, his place is in the first lane at the second desk on the right. | ```python
n,m,k=map(int,input().split())
x=k
print((k-1)//(m*2)+1,end=' ')
k=(k-1)%(m*2)
print(k//2+1,end=" ")
if x%2==0:
print("R")
else:
print("L")
``` | 3 | |
13 | C | Sequence | PROGRAMMING | 2,200 | [
"dp",
"sortings"
] | C. Sequence | 1 | 64 | Little Petya likes to play very much. And most of all he likes to play the following game:
He is given a sequence of *N* integer numbers. At each step it is allowed to increase the value of any number by 1 or to decrease it by 1. The goal of the game is to make the sequence non-decreasing with the smallest number of steps. Petya is not good at math, so he asks for your help.
The sequence *a* is called non-decreasing if *a*1<=≤<=*a*2<=≤<=...<=≤<=*a**N* holds, where *N* is the length of the sequence. | The first line of the input contains single integer *N* (1<=≤<=*N*<=≤<=5000) — the length of the initial sequence. The following *N* lines contain one integer each — elements of the sequence. These numbers do not exceed 109 by absolute value. | Output one integer — minimum number of steps required to achieve the goal. | [
"5\n3 2 -1 2 11\n",
"5\n2 1 1 1 1\n"
] | [
"4\n",
"1\n"
] | none | 0 | [
{
"input": "5\n3 2 -1 2 11",
"output": "4"
},
{
"input": "5\n2 1 1 1 1",
"output": "1"
},
{
"input": "5\n0 0 0 0 0",
"output": "0"
},
{
"input": "1\n11",
"output": "0"
},
{
"input": "2\n10 2",
"output": "8"
},
{
"input": "6\n1000000000 -1000000000 1000... | 1,574,837,463 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 5 | 218 | 0 | n = int(input())
a = [*map(int, input().split())]
best_ans = 10**9
for i in range(n):
acopy = a.copy()
ans = 0
for j in range(i - 1, -1, -1):
if acopy[j] < acopy[j + 1]:
continue
ans += acopy[j] - acopy[j + 1]
acopy[j] = acopy[j + 1]
for j in range(i + 1, n):
if acopy[j] > acopy[j - 1]:
continue
ans += acopy[j - 1] - acopy[j]
acopy[j] = acopy[j - 1]
best_ans = min(ans, best_ans)
print(best_ans)
| Title: Sequence
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
Little Petya likes to play very much. And most of all he likes to play the following game:
He is given a sequence of *N* integer numbers. At each step it is allowed to increase the value of any number by 1 or to decrease it by 1. The goal of the game is to make the sequence non-decreasing with the smallest number of steps. Petya is not good at math, so he asks for your help.
The sequence *a* is called non-decreasing if *a*1<=≤<=*a*2<=≤<=...<=≤<=*a**N* holds, where *N* is the length of the sequence.
Input Specification:
The first line of the input contains single integer *N* (1<=≤<=*N*<=≤<=5000) — the length of the initial sequence. The following *N* lines contain one integer each — elements of the sequence. These numbers do not exceed 109 by absolute value.
Output Specification:
Output one integer — minimum number of steps required to achieve the goal.
Demo Input:
['5\n3 2 -1 2 11\n', '5\n2 1 1 1 1\n']
Demo Output:
['4\n', '1\n']
Note:
none | ```python
n = int(input())
a = [*map(int, input().split())]
best_ans = 10**9
for i in range(n):
acopy = a.copy()
ans = 0
for j in range(i - 1, -1, -1):
if acopy[j] < acopy[j + 1]:
continue
ans += acopy[j] - acopy[j + 1]
acopy[j] = acopy[j + 1]
for j in range(i + 1, n):
if acopy[j] > acopy[j - 1]:
continue
ans += acopy[j - 1] - acopy[j]
acopy[j] = acopy[j - 1]
best_ans = min(ans, best_ans)
print(best_ans)
``` | 0 |
271 | A | Beautiful Year | PROGRAMMING | 800 | [
"brute force"
] | null | null | It seems like the year of 2013 came only yesterday. Do you know a curious fact? The year of 2013 is the first year after the old 1987 with only distinct digits.
Now you are suggested to solve the following problem: given a year number, find the minimum year number which is strictly larger than the given one and has only distinct digits. | The single line contains integer *y* (1000<=≤<=*y*<=≤<=9000) — the year number. | Print a single integer — the minimum year number that is strictly larger than *y* and all it's digits are distinct. It is guaranteed that the answer exists. | [
"1987\n",
"2013\n"
] | [
"2013\n",
"2014\n"
] | none | 500 | [
{
"input": "1987",
"output": "2013"
},
{
"input": "2013",
"output": "2014"
},
{
"input": "1000",
"output": "1023"
},
{
"input": "1001",
"output": "1023"
},
{
"input": "1234",
"output": "1235"
},
{
"input": "5555",
"output": "5601"
},
{
"inp... | 1,695,035,984 | 2,147,483,647 | PyPy 3 | OK | TESTS | 27 | 154 | 0 | n=int(input())
for i in range(n+1,10000):
k=str(i);
if len(set(k))==len(k):
u=i;
break;
print(u);
| Title: Beautiful Year
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
It seems like the year of 2013 came only yesterday. Do you know a curious fact? The year of 2013 is the first year after the old 1987 with only distinct digits.
Now you are suggested to solve the following problem: given a year number, find the minimum year number which is strictly larger than the given one and has only distinct digits.
Input Specification:
The single line contains integer *y* (1000<=≤<=*y*<=≤<=9000) — the year number.
Output Specification:
Print a single integer — the minimum year number that is strictly larger than *y* and all it's digits are distinct. It is guaranteed that the answer exists.
Demo Input:
['1987\n', '2013\n']
Demo Output:
['2013\n', '2014\n']
Note:
none | ```python
n=int(input())
for i in range(n+1,10000):
k=str(i);
if len(set(k))==len(k):
u=i;
break;
print(u);
``` | 3 | |
0 | none | none | none | 0 | [
"none"
] | null | null | You've got a string $a_1, a_2, \dots, a_n$, consisting of zeros and ones.
Let's call a sequence of consecutive elements $a_i, a_{i<=+<=1}, \ldots,<=a_j$ ($1\leq<=i\leq<=j\leq<=n$) a substring of string $a$.
You can apply the following operations any number of times:
- Choose some substring of string $a$ (for example, you can choose entire string) and reverse it, paying $x$ coins for it (for example, «0101101» $\to$ «0111001»); - Choose some substring of string $a$ (for example, you can choose entire string or just one symbol) and replace each symbol to the opposite one (zeros are replaced by ones, and ones — by zeros), paying $y$ coins for it (for example, «0101101» $\to$ «0110001»).
You can apply these operations in any order. It is allowed to apply the operations multiple times to the same substring.
What is the minimum number of coins you need to spend to get a string consisting only of ones? | The first line of input contains integers $n$, $x$ and $y$ ($1<=\leq<=n<=\leq<=300\,000, 0 \leq x, y \leq 10^9$) — length of the string, cost of the first operation (substring reverse) and cost of the second operation (inverting all elements of substring).
The second line contains the string $a$ of length $n$, consisting of zeros and ones. | Print a single integer — the minimum total cost of operations you need to spend to get a string consisting only of ones. Print $0$, if you do not need to perform any operations. | [
"5 1 10\n01000\n",
"5 10 1\n01000\n",
"7 2 3\n1111111\n"
] | [
"11\n",
"2\n",
"0\n"
] | In the first sample, at first you need to reverse substring $[1 \dots 2]$, and then you need to invert substring $[2 \dots 5]$.
Then the string was changed as follows:
«01000» $\to$ «10000» $\to$ «11111».
The total cost of operations is $1 + 10 = 11$.
In the second sample, at first you need to invert substring $[1 \dots 1]$, and then you need to invert substring $[3 \dots 5]$.
Then the string was changed as follows:
«01000» $\to$ «11000» $\to$ «11111».
The overall cost is $1 + 1 = 2$.
In the third example, string already consists only of ones, so the answer is $0$. | 0 | [
{
"input": "5 1 10\n01000",
"output": "11"
},
{
"input": "5 10 1\n01000",
"output": "2"
},
{
"input": "7 2 3\n1111111",
"output": "0"
},
{
"input": "1 60754033 959739508\n0",
"output": "959739508"
},
{
"input": "1 431963980 493041212\n1",
"output": "0"
},
... | 1,532,579,957 | 2,147,483,647 | Python 3 | OK | TESTS | 115 | 327 | 1,024,000 | n,x,y = map(int,input().split())
s = input()
# x = cost of reverse
# y = cost of invert
chains = 0
zero = False
for i in range(n):
if not zero and s[i] == "0":
zero = True
elif not zero and s[i] == "1":
continue
elif zero and s[i] == "0":
continue
elif zero and s[i] == "1":
chains += 1
zero = False
if zero:
chains += 1
if chains == 0:
print(0)
else:
min_cost = 99999999999999999999999999
for n_invert in range(1,chains+1):
n_reverse = chains - n_invert
cost = n_reverse * x + n_invert * y
min_cost = min(min_cost, cost)
print(min_cost)
| Title: none
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You've got a string $a_1, a_2, \dots, a_n$, consisting of zeros and ones.
Let's call a sequence of consecutive elements $a_i, a_{i<=+<=1}, \ldots,<=a_j$ ($1\leq<=i\leq<=j\leq<=n$) a substring of string $a$.
You can apply the following operations any number of times:
- Choose some substring of string $a$ (for example, you can choose entire string) and reverse it, paying $x$ coins for it (for example, «0101101» $\to$ «0111001»); - Choose some substring of string $a$ (for example, you can choose entire string or just one symbol) and replace each symbol to the opposite one (zeros are replaced by ones, and ones — by zeros), paying $y$ coins for it (for example, «0101101» $\to$ «0110001»).
You can apply these operations in any order. It is allowed to apply the operations multiple times to the same substring.
What is the minimum number of coins you need to spend to get a string consisting only of ones?
Input Specification:
The first line of input contains integers $n$, $x$ and $y$ ($1<=\leq<=n<=\leq<=300\,000, 0 \leq x, y \leq 10^9$) — length of the string, cost of the first operation (substring reverse) and cost of the second operation (inverting all elements of substring).
The second line contains the string $a$ of length $n$, consisting of zeros and ones.
Output Specification:
Print a single integer — the minimum total cost of operations you need to spend to get a string consisting only of ones. Print $0$, if you do not need to perform any operations.
Demo Input:
['5 1 10\n01000\n', '5 10 1\n01000\n', '7 2 3\n1111111\n']
Demo Output:
['11\n', '2\n', '0\n']
Note:
In the first sample, at first you need to reverse substring $[1 \dots 2]$, and then you need to invert substring $[2 \dots 5]$.
Then the string was changed as follows:
«01000» $\to$ «10000» $\to$ «11111».
The total cost of operations is $1 + 10 = 11$.
In the second sample, at first you need to invert substring $[1 \dots 1]$, and then you need to invert substring $[3 \dots 5]$.
Then the string was changed as follows:
«01000» $\to$ «11000» $\to$ «11111».
The overall cost is $1 + 1 = 2$.
In the third example, string already consists only of ones, so the answer is $0$. | ```python
n,x,y = map(int,input().split())
s = input()
# x = cost of reverse
# y = cost of invert
chains = 0
zero = False
for i in range(n):
if not zero and s[i] == "0":
zero = True
elif not zero and s[i] == "1":
continue
elif zero and s[i] == "0":
continue
elif zero and s[i] == "1":
chains += 1
zero = False
if zero:
chains += 1
if chains == 0:
print(0)
else:
min_cost = 99999999999999999999999999
for n_invert in range(1,chains+1):
n_reverse = chains - n_invert
cost = n_reverse * x + n_invert * y
min_cost = min(min_cost, cost)
print(min_cost)
``` | 3 | |
663 | A | Rebus | PROGRAMMING | 1,800 | [
"constructive algorithms",
"expression parsing",
"greedy",
"math"
] | null | null | You are given a rebus of form ? + ? - ? + ? = n, consisting of only question marks, separated by arithmetic operation '+' and '-', equality and positive integer *n*. The goal is to replace each question mark with some positive integer from 1 to *n*, such that equality holds. | The only line of the input contains a rebus. It's guaranteed that it contains no more than 100 question marks, integer *n* is positive and doesn't exceed 1<=000<=000, all letters and integers are separated by spaces, arithmetic operations are located only between question marks. | The first line of the output should contain "Possible" (without quotes) if rebus has a solution and "Impossible" (without quotes) otherwise.
If the answer exists, the second line should contain any valid rebus with question marks replaced by integers from 1 to *n*. Follow the format given in the samples. | [
"? + ? - ? + ? + ? = 42\n",
"? - ? = 1\n",
"? = 1000000\n"
] | [
"Possible\n9 + 13 - 39 + 28 + 31 = 42\n",
"Impossible\n",
"Possible\n1000000 = 1000000\n"
] | none | 500 | [
{
"input": "? + ? - ? + ? + ? = 42",
"output": "Possible\n1 + 1 - 1 + 1 + 40 = 42"
},
{
"input": "? - ? = 1",
"output": "Impossible"
},
{
"input": "? = 1000000",
"output": "Possible\n1000000 = 1000000"
},
{
"input": "? + ? + ? + ? + ? + ? + ? + ? + ? + ? + ? + ? + ? + ? + ? +... | 1,572,972,612 | 612 | Python 3 | OK | TESTS | 31 | 124 | 307,200 | s = input().split()
t = s[::]
req = int(s[-1])
lim = req
S = 0
for i in range(len(s)):
if s[i] == '?':
s[i] = '1'
S += 1 if i == 0 or s[i - 1] == '+' else -1
if S < req:
for i in range(len(s)):
if t[i] == '?':
sign = 1 if i == 0 or s[i - 1] == '+' else -1
if sign == 1:
d = min(req - S, lim - 1)
s[i] = str(d + 1)
S += d
else:
for i in range(len(s)):
if t[i] == '?':
sign = 1 if i == 0 or s[i - 1] == '+' else -1
if sign == -1:
d = min(S - req, lim - 1)
s[i] = str(d + 1)
S -= d
if S == req:
print("Possible")
print(' '.join(s))
else:
print("Impossible")
| Title: Rebus
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a rebus of form ? + ? - ? + ? = n, consisting of only question marks, separated by arithmetic operation '+' and '-', equality and positive integer *n*. The goal is to replace each question mark with some positive integer from 1 to *n*, such that equality holds.
Input Specification:
The only line of the input contains a rebus. It's guaranteed that it contains no more than 100 question marks, integer *n* is positive and doesn't exceed 1<=000<=000, all letters and integers are separated by spaces, arithmetic operations are located only between question marks.
Output Specification:
The first line of the output should contain "Possible" (without quotes) if rebus has a solution and "Impossible" (without quotes) otherwise.
If the answer exists, the second line should contain any valid rebus with question marks replaced by integers from 1 to *n*. Follow the format given in the samples.
Demo Input:
['? + ? - ? + ? + ? = 42\n', '? - ? = 1\n', '? = 1000000\n']
Demo Output:
['Possible\n9 + 13 - 39 + 28 + 31 = 42\n', 'Impossible\n', 'Possible\n1000000 = 1000000\n']
Note:
none | ```python
s = input().split()
t = s[::]
req = int(s[-1])
lim = req
S = 0
for i in range(len(s)):
if s[i] == '?':
s[i] = '1'
S += 1 if i == 0 or s[i - 1] == '+' else -1
if S < req:
for i in range(len(s)):
if t[i] == '?':
sign = 1 if i == 0 or s[i - 1] == '+' else -1
if sign == 1:
d = min(req - S, lim - 1)
s[i] = str(d + 1)
S += d
else:
for i in range(len(s)):
if t[i] == '?':
sign = 1 if i == 0 or s[i - 1] == '+' else -1
if sign == -1:
d = min(S - req, lim - 1)
s[i] = str(d + 1)
S -= d
if S == req:
print("Possible")
print(' '.join(s))
else:
print("Impossible")
``` | 3 | |
588 | B | Duff in Love | PROGRAMMING | 1,300 | [
"math"
] | null | null | Duff is in love with lovely numbers! A positive integer *x* is called lovely if and only if there is no such positive integer *a*<=><=1 such that *a*2 is a divisor of *x*.
Malek has a number store! In his store, he has only divisors of positive integer *n* (and he has all of them). As a birthday present, Malek wants to give her a lovely number from his store. He wants this number to be as big as possible.
Malek always had issues in math, so he asked for your help. Please tell him what is the biggest lovely number in his store. | The first and only line of input contains one integer, *n* (1<=≤<=*n*<=≤<=1012). | Print the answer in one line. | [
"10\n",
"12\n"
] | [
"10\n",
"6\n"
] | In first sample case, there are numbers 1, 2, 5 and 10 in the shop. 10 isn't divisible by any perfect square, so 10 is lovely.
In second sample case, there are numbers 1, 2, 3, 4, 6 and 12 in the shop. 12 is divisible by 4 = 2<sup class="upper-index">2</sup>, so 12 is not lovely, while 6 is indeed lovely. | 1,000 | [
{
"input": "10",
"output": "10"
},
{
"input": "12",
"output": "6"
},
{
"input": "1",
"output": "1"
},
{
"input": "2",
"output": "2"
},
{
"input": "4",
"output": "2"
},
{
"input": "8",
"output": "2"
},
{
"input": "3",
"output": "3"
},
... | 1,607,338,983 | 2,147,483,647 | Python 3 | OK | TESTS | 53 | 1,356 | 307,200 |
def solve(n):
t = []
i = 1
while i * i <= n :
if n % i == 0 :
if n // i == i :
t.append(i)
else:
t.append(i)
t.append(n//i)
i += 1
return t
n = int(input())
r = solve(n)
r2 = list(reversed(sorted(r)))
for i in r2 :
cnt = 0
for j in r :
if j > 1 and i % (j * j) == 0 :
cnt += 1
if cnt == 0 :
print(i)
exit(0)
| Title: Duff in Love
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Duff is in love with lovely numbers! A positive integer *x* is called lovely if and only if there is no such positive integer *a*<=><=1 such that *a*2 is a divisor of *x*.
Malek has a number store! In his store, he has only divisors of positive integer *n* (and he has all of them). As a birthday present, Malek wants to give her a lovely number from his store. He wants this number to be as big as possible.
Malek always had issues in math, so he asked for your help. Please tell him what is the biggest lovely number in his store.
Input Specification:
The first and only line of input contains one integer, *n* (1<=≤<=*n*<=≤<=1012).
Output Specification:
Print the answer in one line.
Demo Input:
['10\n', '12\n']
Demo Output:
['10\n', '6\n']
Note:
In first sample case, there are numbers 1, 2, 5 and 10 in the shop. 10 isn't divisible by any perfect square, so 10 is lovely.
In second sample case, there are numbers 1, 2, 3, 4, 6 and 12 in the shop. 12 is divisible by 4 = 2<sup class="upper-index">2</sup>, so 12 is not lovely, while 6 is indeed lovely. | ```python
def solve(n):
t = []
i = 1
while i * i <= n :
if n % i == 0 :
if n // i == i :
t.append(i)
else:
t.append(i)
t.append(n//i)
i += 1
return t
n = int(input())
r = solve(n)
r2 = list(reversed(sorted(r)))
for i in r2 :
cnt = 0
for j in r :
if j > 1 and i % (j * j) == 0 :
cnt += 1
if cnt == 0 :
print(i)
exit(0)
``` | 3 | |
851 | A | Arpa and a research in Mexican wave | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | Arpa is researching the Mexican wave.
There are *n* spectators in the stadium, labeled from 1 to *n*. They start the Mexican wave at time 0.
- At time 1, the first spectator stands. - At time 2, the second spectator stands. - ... - At time *k*, the *k*-th spectator stands. - At time *k*<=+<=1, the (*k*<=+<=1)-th spectator stands and the first spectator sits. - At time *k*<=+<=2, the (*k*<=+<=2)-th spectator stands and the second spectator sits. - ... - At time *n*, the *n*-th spectator stands and the (*n*<=-<=*k*)-th spectator sits. - At time *n*<=+<=1, the (*n*<=+<=1<=-<=*k*)-th spectator sits. - ... - At time *n*<=+<=*k*, the *n*-th spectator sits.
Arpa wants to know how many spectators are standing at time *t*. | The first line contains three integers *n*, *k*, *t* (1<=≤<=*n*<=≤<=109, 1<=≤<=*k*<=≤<=*n*, 1<=≤<=*t*<=<<=*n*<=+<=*k*). | Print single integer: how many spectators are standing at time *t*. | [
"10 5 3\n",
"10 5 7\n",
"10 5 12\n"
] | [
"3\n",
"5\n",
"3\n"
] | In the following a sitting spectator is represented as -, a standing spectator is represented as ^.
- At *t* = 0 ---------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 0. - At *t* = 1 ^--------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 1. - At *t* = 2 ^^-------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 2. - At *t* = 3 ^^^------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 3. - At *t* = 4 ^^^^------ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 4. - At *t* = 5 ^^^^^----- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 6 -^^^^^---- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 7 --^^^^^--- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 8 ---^^^^^-- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 9 ----^^^^^- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 10 -----^^^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 11 ------^^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 4. - At *t* = 12 -------^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 3. - At *t* = 13 --------^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 2. - At *t* = 14 ---------^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 1. - At *t* = 15 ---------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 0. | 500 | [
{
"input": "10 5 3",
"output": "3"
},
{
"input": "10 5 7",
"output": "5"
},
{
"input": "10 5 12",
"output": "3"
},
{
"input": "840585600 770678331 788528791",
"output": "770678331"
},
{
"input": "25462281 23343504 8024619",
"output": "8024619"
},
{
"in... | 1,552,857,828 | 2,147,483,647 | Python 3 | OK | TESTS | 166 | 124 | 0 | n, k ,t = map(int, input().split())
if 0<=t<=k:
print(t)
elif k<t<=n:
print(k)
elif t<=n+k-1:
print(n+k-t)
else:
print(0)
#116557440
#230150037
#966696824 346707476 1196846860
#0 k-1
#n-k s stay
#n+k-1 | Title: Arpa and a research in Mexican wave
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Arpa is researching the Mexican wave.
There are *n* spectators in the stadium, labeled from 1 to *n*. They start the Mexican wave at time 0.
- At time 1, the first spectator stands. - At time 2, the second spectator stands. - ... - At time *k*, the *k*-th spectator stands. - At time *k*<=+<=1, the (*k*<=+<=1)-th spectator stands and the first spectator sits. - At time *k*<=+<=2, the (*k*<=+<=2)-th spectator stands and the second spectator sits. - ... - At time *n*, the *n*-th spectator stands and the (*n*<=-<=*k*)-th spectator sits. - At time *n*<=+<=1, the (*n*<=+<=1<=-<=*k*)-th spectator sits. - ... - At time *n*<=+<=*k*, the *n*-th spectator sits.
Arpa wants to know how many spectators are standing at time *t*.
Input Specification:
The first line contains three integers *n*, *k*, *t* (1<=≤<=*n*<=≤<=109, 1<=≤<=*k*<=≤<=*n*, 1<=≤<=*t*<=<<=*n*<=+<=*k*).
Output Specification:
Print single integer: how many spectators are standing at time *t*.
Demo Input:
['10 5 3\n', '10 5 7\n', '10 5 12\n']
Demo Output:
['3\n', '5\n', '3\n']
Note:
In the following a sitting spectator is represented as -, a standing spectator is represented as ^.
- At *t* = 0 ---------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 0. - At *t* = 1 ^--------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 1. - At *t* = 2 ^^-------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 2. - At *t* = 3 ^^^------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 3. - At *t* = 4 ^^^^------ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 4. - At *t* = 5 ^^^^^----- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 6 -^^^^^---- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 7 --^^^^^--- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 8 ---^^^^^-- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 9 ----^^^^^- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 10 -----^^^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 5. - At *t* = 11 ------^^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 4. - At *t* = 12 -------^^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 3. - At *t* = 13 --------^^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 2. - At *t* = 14 ---------^ <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 1. - At *t* = 15 ---------- <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/4d97e684117250a9afe9be022ab8a63653dd15aa.png" style="max-width: 100.0%;max-height: 100.0%;"/> number of standing spectators = 0. | ```python
n, k ,t = map(int, input().split())
if 0<=t<=k:
print(t)
elif k<t<=n:
print(k)
elif t<=n+k-1:
print(n+k-t)
else:
print(0)
#116557440
#230150037
#966696824 346707476 1196846860
#0 k-1
#n-k s stay
#n+k-1
``` | 3 | |
822 | A | I'm bored with life | PROGRAMMING | 800 | [
"implementation",
"math",
"number theory"
] | null | null | Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of university studies. Consequently Noora had to leave Vičkopolis and move to Pavlopolis. Thus Leha was left completely alone in a quiet town Vičkopolis. He almost even fell into a depression from boredom!
Leha came up with a task for himself to relax a little. He chooses two integers *A* and *B* and then calculates the greatest common divisor of integers "*A* factorial" and "*B* factorial". Formally the hacker wants to find out GCD(*A*!,<=*B*!). It's well known that the factorial of an integer *x* is a product of all positive integers less than or equal to *x*. Thus *x*!<==<=1·2·3·...·(*x*<=-<=1)·*x*. For example 4!<==<=1·2·3·4<==<=24. Recall that GCD(*x*,<=*y*) is the largest positive integer *q* that divides (without a remainder) both *x* and *y*.
Leha has learned how to solve this task very effective. You are able to cope with it not worse, aren't you? | The first and single line contains two integers *A* and *B* (1<=≤<=*A*,<=*B*<=≤<=109,<=*min*(*A*,<=*B*)<=≤<=12). | Print a single integer denoting the greatest common divisor of integers *A*! and *B*!. | [
"4 3\n"
] | [
"6\n"
] | Consider the sample.
4! = 1·2·3·4 = 24. 3! = 1·2·3 = 6. The greatest common divisor of integers 24 and 6 is exactly 6. | 500 | [
{
"input": "4 3",
"output": "6"
},
{
"input": "10 399603090",
"output": "3628800"
},
{
"input": "6 973151934",
"output": "720"
},
{
"input": "2 841668075",
"output": "2"
},
{
"input": "7 415216919",
"output": "5040"
},
{
"input": "3 283733059",
"ou... | 1,631,244,019 | 2,147,483,647 | Python 3 | OK | TESTS | 59 | 77 | 6,758,400 | from math import factorial as fact
a,b=list(map(int,input().split()))
print(fact(min(a,b))) | Title: I'm bored with life
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Holidays have finished. Thanks to the help of the hacker Leha, Noora managed to enter the university of her dreams which is located in a town Pavlopolis. It's well known that universities provide students with dormitory for the period of university studies. Consequently Noora had to leave Vičkopolis and move to Pavlopolis. Thus Leha was left completely alone in a quiet town Vičkopolis. He almost even fell into a depression from boredom!
Leha came up with a task for himself to relax a little. He chooses two integers *A* and *B* and then calculates the greatest common divisor of integers "*A* factorial" and "*B* factorial". Formally the hacker wants to find out GCD(*A*!,<=*B*!). It's well known that the factorial of an integer *x* is a product of all positive integers less than or equal to *x*. Thus *x*!<==<=1·2·3·...·(*x*<=-<=1)·*x*. For example 4!<==<=1·2·3·4<==<=24. Recall that GCD(*x*,<=*y*) is the largest positive integer *q* that divides (without a remainder) both *x* and *y*.
Leha has learned how to solve this task very effective. You are able to cope with it not worse, aren't you?
Input Specification:
The first and single line contains two integers *A* and *B* (1<=≤<=*A*,<=*B*<=≤<=109,<=*min*(*A*,<=*B*)<=≤<=12).
Output Specification:
Print a single integer denoting the greatest common divisor of integers *A*! and *B*!.
Demo Input:
['4 3\n']
Demo Output:
['6\n']
Note:
Consider the sample.
4! = 1·2·3·4 = 24. 3! = 1·2·3 = 6. The greatest common divisor of integers 24 and 6 is exactly 6. | ```python
from math import factorial as fact
a,b=list(map(int,input().split()))
print(fact(min(a,b)))
``` | 3 | |
495 | B | Modular Equations | PROGRAMMING | 1,600 | [
"math",
"number theory"
] | null | null | Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define *i* modulo *j* as the remainder of division of *i* by *j* and denote it by . A Modular Equation, as Hamed's teacher described, is an equation of the form in which *a* and *b* are two non-negative integers and *x* is a variable. We call a positive integer *x* for which a solution of our equation.
Hamed didn't pay much attention to the class since he was watching a movie. He only managed to understand the definitions of these equations.
Now he wants to write his math exercises but since he has no idea how to do that, he asked you for help. He has told you all he knows about Modular Equations and asked you to write a program which given two numbers *a* and *b* determines how many answers the Modular Equation has. | In the only line of the input two space-separated integers *a* and *b* (0<=≤<=*a*,<=*b*<=≤<=109) are given. | If there is an infinite number of answers to our equation, print "infinity" (without the quotes). Otherwise print the number of solutions of the Modular Equation . | [
"21 5\n",
"9435152 272\n",
"10 10\n"
] | [
"2\n",
"282\n",
"infinity\n"
] | In the first sample the answers of the Modular Equation are 8 and 16 since <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/6f5ff39ebd209bf990adaf91f4b82f9687097224.png" style="max-width: 100.0%;max-height: 100.0%;"/> | 1,000 | [
{
"input": "21 5",
"output": "2"
},
{
"input": "9435152 272",
"output": "282"
},
{
"input": "10 10",
"output": "infinity"
},
{
"input": "0 1000000000",
"output": "0"
},
{
"input": "11 2",
"output": "2"
},
{
"input": "1 0",
"output": "1"
},
{
... | 1,584,923,654 | 2,147,483,647 | PyPy 3 | OK | TESTS | 37 | 140 | 1,228,800 | arr = [int(x) for x in input().split()]
a = arr[0]
b = arr[1]
resp = 0
if a == b:
resp = 'infinity'
if resp != 'infinity':
x = a - b
i = 1
c = 0
while i**2 < x:
c += 1
if x % i == 0:
if i > b:
resp += 1
if x/i > b:
resp += 1
i += 1
if i**2 == x and i > b:
resp += 1
print (resp)
| Title: Modular Equations
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Last week, Hamed learned about a new type of equations in his math class called Modular Equations. Lets define *i* modulo *j* as the remainder of division of *i* by *j* and denote it by . A Modular Equation, as Hamed's teacher described, is an equation of the form in which *a* and *b* are two non-negative integers and *x* is a variable. We call a positive integer *x* for which a solution of our equation.
Hamed didn't pay much attention to the class since he was watching a movie. He only managed to understand the definitions of these equations.
Now he wants to write his math exercises but since he has no idea how to do that, he asked you for help. He has told you all he knows about Modular Equations and asked you to write a program which given two numbers *a* and *b* determines how many answers the Modular Equation has.
Input Specification:
In the only line of the input two space-separated integers *a* and *b* (0<=≤<=*a*,<=*b*<=≤<=109) are given.
Output Specification:
If there is an infinite number of answers to our equation, print "infinity" (without the quotes). Otherwise print the number of solutions of the Modular Equation .
Demo Input:
['21 5\n', '9435152 272\n', '10 10\n']
Demo Output:
['2\n', '282\n', 'infinity\n']
Note:
In the first sample the answers of the Modular Equation are 8 and 16 since <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/6f5ff39ebd209bf990adaf91f4b82f9687097224.png" style="max-width: 100.0%;max-height: 100.0%;"/> | ```python
arr = [int(x) for x in input().split()]
a = arr[0]
b = arr[1]
resp = 0
if a == b:
resp = 'infinity'
if resp != 'infinity':
x = a - b
i = 1
c = 0
while i**2 < x:
c += 1
if x % i == 0:
if i > b:
resp += 1
if x/i > b:
resp += 1
i += 1
if i**2 == x and i > b:
resp += 1
print (resp)
``` | 3 | |
11 | A | Increasing Sequence | PROGRAMMING | 900 | [
"constructive algorithms",
"implementation",
"math"
] | A. Increasing Sequence | 1 | 64 | A sequence *a*0,<=*a*1,<=...,<=*a**t*<=-<=1 is called increasing if *a**i*<=-<=1<=<<=*a**i* for each *i*:<=0<=<<=*i*<=<<=*t*.
You are given a sequence *b*0,<=*b*1,<=...,<=*b**n*<=-<=1 and a positive integer *d*. In each move you may choose one element of the given sequence and add *d* to it. What is the least number of moves required to make the given sequence increasing? | The first line of the input contains two integer numbers *n* and *d* (2<=≤<=*n*<=≤<=2000,<=1<=≤<=*d*<=≤<=106). The second line contains space separated sequence *b*0,<=*b*1,<=...,<=*b**n*<=-<=1 (1<=≤<=*b**i*<=≤<=106). | Output the minimal number of moves needed to make the sequence increasing. | [
"4 2\n1 3 3 2\n"
] | [
"3\n"
] | none | 0 | [
{
"input": "4 2\n1 3 3 2",
"output": "3"
},
{
"input": "2 1\n1 1",
"output": "1"
},
{
"input": "2 1\n2 5",
"output": "0"
},
{
"input": "2 1\n1 2",
"output": "0"
},
{
"input": "2 1\n1 1",
"output": "1"
},
{
"input": "2 7\n10 20",
"output": "0"
},
... | 1,692,252,366 | 2,147,483,647 | Python 3 | OK | TESTS | 25 | 62 | 0 | arr = input().split()
n = int(arr[0])
d = int(arr[1])
a = input().split()
ans = int(0)
pre = int(-1)
# a.sort()
for i in a:
i = int(i)
# print(i, end = ', ')
x = 0
if i <= pre:
x = (pre-i + d) // d
ans = ans + x
pre = i + x*d
# print(pre, end = '\n')
print(ans)
| Title: Increasing Sequence
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
A sequence *a*0,<=*a*1,<=...,<=*a**t*<=-<=1 is called increasing if *a**i*<=-<=1<=<<=*a**i* for each *i*:<=0<=<<=*i*<=<<=*t*.
You are given a sequence *b*0,<=*b*1,<=...,<=*b**n*<=-<=1 and a positive integer *d*. In each move you may choose one element of the given sequence and add *d* to it. What is the least number of moves required to make the given sequence increasing?
Input Specification:
The first line of the input contains two integer numbers *n* and *d* (2<=≤<=*n*<=≤<=2000,<=1<=≤<=*d*<=≤<=106). The second line contains space separated sequence *b*0,<=*b*1,<=...,<=*b**n*<=-<=1 (1<=≤<=*b**i*<=≤<=106).
Output Specification:
Output the minimal number of moves needed to make the sequence increasing.
Demo Input:
['4 2\n1 3 3 2\n']
Demo Output:
['3\n']
Note:
none | ```python
arr = input().split()
n = int(arr[0])
d = int(arr[1])
a = input().split()
ans = int(0)
pre = int(-1)
# a.sort()
for i in a:
i = int(i)
# print(i, end = ', ')
x = 0
if i <= pre:
x = (pre-i + d) // d
ans = ans + x
pre = i + x*d
# print(pre, end = '\n')
print(ans)
``` | 3.969 |
892 | B | Wrath | PROGRAMMING | 1,200 | [
"greedy",
"implementation",
"two pointers"
] | null | null | Hands that shed innocent blood!
There are *n* guilty people in a line, the *i*-th of them holds a claw with length *L**i*. The bell rings and every person kills some of people in front of him. All people kill others at the same time. Namely, the *i*-th person kills the *j*-th person if and only if *j*<=<<=*i* and *j*<=≥<=*i*<=-<=*L**i*.
You are given lengths of the claws. You need to find the total number of alive people after the bell rings. | The first line contains one integer *n* (1<=≤<=*n*<=≤<=106) — the number of guilty people.
Second line contains *n* space-separated integers *L*1,<=*L*2,<=...,<=*L**n* (0<=≤<=*L**i*<=≤<=109), where *L**i* is the length of the *i*-th person's claw. | Print one integer — the total number of alive people after the bell rings. | [
"4\n0 1 0 10\n",
"2\n0 0\n",
"10\n1 1 3 0 0 0 2 1 0 3\n"
] | [
"1\n",
"2\n",
"3\n"
] | In first sample the last person kills everyone in front of him. | 1,000 | [
{
"input": "4\n0 1 0 10",
"output": "1"
},
{
"input": "2\n0 0",
"output": "2"
},
{
"input": "10\n1 1 3 0 0 0 2 1 0 3",
"output": "3"
},
{
"input": "10\n0 0 2 0 0 3 3 2 2 0",
"output": "2"
},
{
"input": "1\n0",
"output": "1"
},
{
"input": "5\n0 0 0 1 0"... | 1,517,193,586 | 2,147,483,647 | Python 3 | OK | TESTS | 43 | 1,248 | 82,432,000 | inp=lambda:map(int,input().split())
n=int(input())
l=list(inp())
m=[1000000]*(10**6+1)
for i in range(n-1,-1,-1):
m[i]=min(m[i+1],i-l[i])
cnt=0
for i in range(0,n):
if(m[i+1]>i) :
cnt+=1
print(cnt)
| Title: Wrath
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Hands that shed innocent blood!
There are *n* guilty people in a line, the *i*-th of them holds a claw with length *L**i*. The bell rings and every person kills some of people in front of him. All people kill others at the same time. Namely, the *i*-th person kills the *j*-th person if and only if *j*<=<<=*i* and *j*<=≥<=*i*<=-<=*L**i*.
You are given lengths of the claws. You need to find the total number of alive people after the bell rings.
Input Specification:
The first line contains one integer *n* (1<=≤<=*n*<=≤<=106) — the number of guilty people.
Second line contains *n* space-separated integers *L*1,<=*L*2,<=...,<=*L**n* (0<=≤<=*L**i*<=≤<=109), where *L**i* is the length of the *i*-th person's claw.
Output Specification:
Print one integer — the total number of alive people after the bell rings.
Demo Input:
['4\n0 1 0 10\n', '2\n0 0\n', '10\n1 1 3 0 0 0 2 1 0 3\n']
Demo Output:
['1\n', '2\n', '3\n']
Note:
In first sample the last person kills everyone in front of him. | ```python
inp=lambda:map(int,input().split())
n=int(input())
l=list(inp())
m=[1000000]*(10**6+1)
for i in range(n-1,-1,-1):
m[i]=min(m[i+1],i-l[i])
cnt=0
for i in range(0,n):
if(m[i+1]>i) :
cnt+=1
print(cnt)
``` | 3 | |
104 | A | Blackjack | PROGRAMMING | 800 | [
"implementation"
] | A. Blackjack | 2 | 256 | One rainy gloomy evening when all modules hid in the nearby cafes to drink hot energetic cocktails, the Hexadecimal virus decided to fly over the Mainframe to look for a Great Idea. And she has found one!
Why not make her own Codeforces, with blackjack and other really cool stuff? Many people will surely be willing to visit this splendid shrine of high culture.
In Mainframe a standard pack of 52 cards is used to play blackjack. The pack contains cards of 13 values: 2, 3, 4, 5, 6, 7, 8, 9, 10, jacks, queens, kings and aces. Each value also exists in one of four suits: hearts, diamonds, clubs and spades. Also, each card earns some value in points assigned to it: cards with value from two to ten earn from 2 to 10 points, correspondingly. An ace can either earn 1 or 11, whatever the player wishes. The picture cards (king, queen and jack) earn 10 points. The number of points a card earns does not depend on the suit. The rules of the game are very simple. The player gets two cards, if the sum of points of those cards equals *n*, then the player wins, otherwise the player loses.
The player has already got the first card, it's the queen of spades. To evaluate chances for victory, you should determine how many ways there are to get the second card so that the sum of points exactly equals *n*. | The only line contains *n* (1<=≤<=*n*<=≤<=25) — the required sum of points. | Print the numbers of ways to get the second card in the required way if the first card is the queen of spades. | [
"12\n",
"20\n",
"10\n"
] | [
"4",
"15",
"0"
] | In the first sample only four two's of different suits can earn the required sum of points.
In the second sample we can use all tens, jacks, queens and kings; overall it's 15 cards, as the queen of spades (as any other card) is only present once in the pack of cards and it's already in use.
In the third sample there is no card, that would add a zero to the current ten points. | 500 | [
{
"input": "12",
"output": "4"
},
{
"input": "20",
"output": "15"
},
{
"input": "10",
"output": "0"
},
{
"input": "11",
"output": "4"
},
{
"input": "15",
"output": "4"
},
{
"input": "18",
"output": "4"
},
{
"input": "25",
"output": "0"
... | 1,545,301,497 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 218 | 0 | n = int(input())
l = [2, 3, 4, 5, 6, 7, 8, 9]
if n <= 10:
print(0)
elif 11 == n or 21 == n:
print(1)
elif 20 == n:
print(15)
else:
for i in l:
if n == 10 + i:
print(4)
break
else:
print(0) | Title: Blackjack
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
One rainy gloomy evening when all modules hid in the nearby cafes to drink hot energetic cocktails, the Hexadecimal virus decided to fly over the Mainframe to look for a Great Idea. And she has found one!
Why not make her own Codeforces, with blackjack and other really cool stuff? Many people will surely be willing to visit this splendid shrine of high culture.
In Mainframe a standard pack of 52 cards is used to play blackjack. The pack contains cards of 13 values: 2, 3, 4, 5, 6, 7, 8, 9, 10, jacks, queens, kings and aces. Each value also exists in one of four suits: hearts, diamonds, clubs and spades. Also, each card earns some value in points assigned to it: cards with value from two to ten earn from 2 to 10 points, correspondingly. An ace can either earn 1 or 11, whatever the player wishes. The picture cards (king, queen and jack) earn 10 points. The number of points a card earns does not depend on the suit. The rules of the game are very simple. The player gets two cards, if the sum of points of those cards equals *n*, then the player wins, otherwise the player loses.
The player has already got the first card, it's the queen of spades. To evaluate chances for victory, you should determine how many ways there are to get the second card so that the sum of points exactly equals *n*.
Input Specification:
The only line contains *n* (1<=≤<=*n*<=≤<=25) — the required sum of points.
Output Specification:
Print the numbers of ways to get the second card in the required way if the first card is the queen of spades.
Demo Input:
['12\n', '20\n', '10\n']
Demo Output:
['4', '15', '0']
Note:
In the first sample only four two's of different suits can earn the required sum of points.
In the second sample we can use all tens, jacks, queens and kings; overall it's 15 cards, as the queen of spades (as any other card) is only present once in the pack of cards and it's already in use.
In the third sample there is no card, that would add a zero to the current ten points. | ```python
n = int(input())
l = [2, 3, 4, 5, 6, 7, 8, 9]
if n <= 10:
print(0)
elif 11 == n or 21 == n:
print(1)
elif 20 == n:
print(15)
else:
for i in l:
if n == 10 + i:
print(4)
break
else:
print(0)
``` | 0 |
579 | A | Raising Bacteria | PROGRAMMING | 1,000 | [
"bitmasks"
] | null | null | You are a lover of bacteria. You want to raise some bacteria in a box.
Initially, the box is empty. Each morning, you can put any number of bacteria into the box. And each night, every bacterium in the box will split into two bacteria. You hope to see exactly *x* bacteria in the box at some moment.
What is the minimum number of bacteria you need to put into the box across those days? | The only line containing one integer *x* (1<=≤<=*x*<=≤<=109). | The only line containing one integer: the answer. | [
"5\n",
"8\n"
] | [
"2\n",
"1\n"
] | For the first sample, we can add one bacterium in the box in the first day morning and at the third morning there will be 4 bacteria in the box. Now we put one more resulting 5 in the box. We added 2 bacteria in the process so the answer is 2.
For the second sample, we can put one in the first morning and in the 4-th morning there will be 8 in the box. So the answer is 1. | 250 | [
{
"input": "5",
"output": "2"
},
{
"input": "8",
"output": "1"
},
{
"input": "536870911",
"output": "29"
},
{
"input": "1",
"output": "1"
},
{
"input": "343000816",
"output": "14"
},
{
"input": "559980448",
"output": "12"
},
{
"input": "697... | 1,663,433,979 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 30 | 0 | import sys
input = sys.stdin.readline
target = int(input())
if target % 2 == 0:
print(1)
else:
print(2) | Title: Raising Bacteria
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are a lover of bacteria. You want to raise some bacteria in a box.
Initially, the box is empty. Each morning, you can put any number of bacteria into the box. And each night, every bacterium in the box will split into two bacteria. You hope to see exactly *x* bacteria in the box at some moment.
What is the minimum number of bacteria you need to put into the box across those days?
Input Specification:
The only line containing one integer *x* (1<=≤<=*x*<=≤<=109).
Output Specification:
The only line containing one integer: the answer.
Demo Input:
['5\n', '8\n']
Demo Output:
['2\n', '1\n']
Note:
For the first sample, we can add one bacterium in the box in the first day morning and at the third morning there will be 4 bacteria in the box. Now we put one more resulting 5 in the box. We added 2 bacteria in the process so the answer is 2.
For the second sample, we can put one in the first morning and in the 4-th morning there will be 8 in the box. So the answer is 1. | ```python
import sys
input = sys.stdin.readline
target = int(input())
if target % 2 == 0:
print(1)
else:
print(2)
``` | 0 | |
916 | B | Jamie and Binary Sequence (changed after round) | PROGRAMMING | 2,000 | [
"bitmasks",
"greedy",
"math"
] | null | null | Jamie is preparing a Codeforces round. He has got an idea for a problem, but does not know how to solve it. Help him write a solution to the following problem:
Find *k* integers such that the sum of two to the power of each number equals to the number *n* and the largest integer in the answer is as small as possible. As there may be multiple answers, you are asked to output the lexicographically largest one.
To be more clear, consider all integer sequence with length *k* (*a*1,<=*a*2,<=...,<=*a**k*) with . Give a value to each sequence. Among all sequence(s) that have the minimum *y* value, output the one that is the lexicographically largest.
For definitions of powers and lexicographical order see notes. | The first line consists of two integers *n* and *k* (1<=≤<=*n*<=≤<=1018,<=1<=≤<=*k*<=≤<=105) — the required sum and the length of the sequence. | Output "No" (without quotes) in a single line if there does not exist such sequence. Otherwise, output "Yes" (without quotes) in the first line, and *k* numbers separated by space in the second line — the required sequence.
It is guaranteed that the integers in the answer sequence fit the range [<=-<=1018,<=1018]. | [
"23 5\n",
"13 2\n",
"1 2\n"
] | [
"Yes\n3 3 2 1 0 \n",
"No\n",
"Yes\n-1 -1 \n"
] | Sample 1:
2<sup class="upper-index">3</sup> + 2<sup class="upper-index">3</sup> + 2<sup class="upper-index">2</sup> + 2<sup class="upper-index">1</sup> + 2<sup class="upper-index">0</sup> = 8 + 8 + 4 + 2 + 1 = 23
Answers like (3, 3, 2, 0, 1) or (0, 1, 2, 3, 3) are not lexicographically largest.
Answers like (4, 1, 1, 1, 0) do not have the minimum *y* value.
Sample 2:
It can be shown there does not exist a sequence with length 2.
Sample 3:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/a8539b2d27aefc8d2fab6dfd8296d11c36dcaa40.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Powers of 2:
If *x* > 0, then 2<sup class="upper-index">*x*</sup> = 2·2·2·...·2 (*x* times).
If *x* = 0, then 2<sup class="upper-index">*x*</sup> = 1.
If *x* < 0, then <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/766628f1c7814795eac1a0afaa1ff062c40ef29e.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
Lexicographical order:
Given two different sequences of the same length, (*a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ... , *a*<sub class="lower-index">*k*</sub>) and (*b*<sub class="lower-index">1</sub>, *b*<sub class="lower-index">2</sub>, ... , *b*<sub class="lower-index">*k*</sub>), the first one is smaller than the second one for the lexicographical order, if and only if *a*<sub class="lower-index">*i*</sub> < *b*<sub class="lower-index">*i*</sub>, for the first *i* where *a*<sub class="lower-index">*i*</sub> and *b*<sub class="lower-index">*i*</sub> differ. | 1,000 | [
{
"input": "23 5",
"output": "Yes\n3 3 2 1 0 "
},
{
"input": "13 2",
"output": "No"
},
{
"input": "1 2",
"output": "Yes\n-1 -1 "
},
{
"input": "1 1",
"output": "Yes\n0 "
},
{
"input": "1000000000000000000 100000",
"output": "Yes\n44 44 44 44 44 44 44 44 44 44 ... | 1,517,118,579 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 0 | 62 | 19,865,600 | read = lambda: map(int, input().split())
n, k = read()
b = bin(n)[2:]
bl = len(b)
k -= b.count('1')
if k < 0:
print('No')
exit()
print('Yes')
m = -2
a = {}
for _ in range(bl):
if b[_] == '1':
a[bl - _ - 1] = 1
if m is -2:
m = bl - _ - 1
while k > 0:
if k >= a[m]:
k -= a[m]
a[m - 1] = a.get(m - 1, 0) + a[m] * 2
a.pop(m)
m -= 1
else:
break
for _ in a.keys():
m = _
break
while k > 0:
k -= 1
if a[m] is 1:
a.pop(m)
else:
a[m] -= 1
a[m - 1] = a.get(m - 1, 0) + 2
m -= 1
for k in reversed(list(a.keys())):
print(('%d ' % k) * a[k], end='')
| Title: Jamie and Binary Sequence (changed after round)
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Jamie is preparing a Codeforces round. He has got an idea for a problem, but does not know how to solve it. Help him write a solution to the following problem:
Find *k* integers such that the sum of two to the power of each number equals to the number *n* and the largest integer in the answer is as small as possible. As there may be multiple answers, you are asked to output the lexicographically largest one.
To be more clear, consider all integer sequence with length *k* (*a*1,<=*a*2,<=...,<=*a**k*) with . Give a value to each sequence. Among all sequence(s) that have the minimum *y* value, output the one that is the lexicographically largest.
For definitions of powers and lexicographical order see notes.
Input Specification:
The first line consists of two integers *n* and *k* (1<=≤<=*n*<=≤<=1018,<=1<=≤<=*k*<=≤<=105) — the required sum and the length of the sequence.
Output Specification:
Output "No" (without quotes) in a single line if there does not exist such sequence. Otherwise, output "Yes" (without quotes) in the first line, and *k* numbers separated by space in the second line — the required sequence.
It is guaranteed that the integers in the answer sequence fit the range [<=-<=1018,<=1018].
Demo Input:
['23 5\n', '13 2\n', '1 2\n']
Demo Output:
['Yes\n3 3 2 1 0 \n', 'No\n', 'Yes\n-1 -1 \n']
Note:
Sample 1:
2<sup class="upper-index">3</sup> + 2<sup class="upper-index">3</sup> + 2<sup class="upper-index">2</sup> + 2<sup class="upper-index">1</sup> + 2<sup class="upper-index">0</sup> = 8 + 8 + 4 + 2 + 1 = 23
Answers like (3, 3, 2, 0, 1) or (0, 1, 2, 3, 3) are not lexicographically largest.
Answers like (4, 1, 1, 1, 0) do not have the minimum *y* value.
Sample 2:
It can be shown there does not exist a sequence with length 2.
Sample 3:
<img align="middle" class="tex-formula" src="https://espresso.codeforces.com/a8539b2d27aefc8d2fab6dfd8296d11c36dcaa40.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Powers of 2:
If *x* > 0, then 2<sup class="upper-index">*x*</sup> = 2·2·2·...·2 (*x* times).
If *x* = 0, then 2<sup class="upper-index">*x*</sup> = 1.
If *x* < 0, then <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/766628f1c7814795eac1a0afaa1ff062c40ef29e.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
Lexicographical order:
Given two different sequences of the same length, (*a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ... , *a*<sub class="lower-index">*k*</sub>) and (*b*<sub class="lower-index">1</sub>, *b*<sub class="lower-index">2</sub>, ... , *b*<sub class="lower-index">*k*</sub>), the first one is smaller than the second one for the lexicographical order, if and only if *a*<sub class="lower-index">*i*</sub> < *b*<sub class="lower-index">*i*</sub>, for the first *i* where *a*<sub class="lower-index">*i*</sub> and *b*<sub class="lower-index">*i*</sub> differ. | ```python
read = lambda: map(int, input().split())
n, k = read()
b = bin(n)[2:]
bl = len(b)
k -= b.count('1')
if k < 0:
print('No')
exit()
print('Yes')
m = -2
a = {}
for _ in range(bl):
if b[_] == '1':
a[bl - _ - 1] = 1
if m is -2:
m = bl - _ - 1
while k > 0:
if k >= a[m]:
k -= a[m]
a[m - 1] = a.get(m - 1, 0) + a[m] * 2
a.pop(m)
m -= 1
else:
break
for _ in a.keys():
m = _
break
while k > 0:
k -= 1
if a[m] is 1:
a.pop(m)
else:
a[m] -= 1
a[m - 1] = a.get(m - 1, 0) + 2
m -= 1
for k in reversed(list(a.keys())):
print(('%d ' % k) * a[k], end='')
``` | 0 | |
225 | B | Well-known Numbers | PROGRAMMING | 1,600 | [
"binary search",
"greedy",
"number theory"
] | null | null | Numbers *k*-bonacci (*k* is integer, *k*<=><=1) are a generalization of Fibonacci numbers and are determined as follows:
- *F*(*k*,<=*n*)<==<=0, for integer *n*, 1<=≤<=*n*<=<<=*k*; - *F*(*k*,<=*k*)<==<=1; - *F*(*k*,<=*n*)<==<=*F*(*k*,<=*n*<=-<=1)<=+<=*F*(*k*,<=*n*<=-<=2)<=+<=...<=+<=*F*(*k*,<=*n*<=-<=*k*), for integer *n*, *n*<=><=*k*.
Note that we determine the *k*-bonacci numbers, *F*(*k*,<=*n*), only for integer values of *n* and *k*.
You've got a number *s*, represent it as a sum of several (at least two) distinct *k*-bonacci numbers. | The first line contains two integers *s* and *k* (1<=≤<=*s*,<=*k*<=≤<=109; *k*<=><=1). | In the first line print an integer *m* (*m*<=≥<=2) that shows how many numbers are in the found representation. In the second line print *m* distinct integers *a*1,<=*a*2,<=...,<=*a**m*. Each printed integer should be a *k*-bonacci number. The sum of printed integers must equal *s*.
It is guaranteed that the answer exists. If there are several possible answers, print any of them. | [
"5 2\n",
"21 5\n"
] | [
"3\n0 2 3\n",
"3\n4 1 16\n"
] | none | 1,000 | [
{
"input": "5 2",
"output": "3\n0 2 3"
},
{
"input": "21 5",
"output": "3\n4 1 16"
},
{
"input": "1 1000",
"output": "2\n1 0 "
},
{
"input": "1000000000 1000000000",
"output": "14\n536870912 268435456 134217728 33554432 16777216 8388608 1048576 524288 131072 32768 16384 2... | 1,594,331,934 | 2,147,483,647 | Python 3 | OK | TESTS | 70 | 218 | 6,963,200 | s,k=map(int,input().split())
f=[0]
f.append(1)
while(True):
cur=sum(f[-k:])
if cur>s:
break
f.append(cur)
f=list(set(f))
f.sort()
ans=[]
i=len(f)-1
while(s and i>0):
if f[i]<=s:
s-=f[i]
ans.append(f[i])
i-=1
print(len(ans)+1)
print(*(ans+[0]))
#Copied
| Title: Well-known Numbers
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Numbers *k*-bonacci (*k* is integer, *k*<=><=1) are a generalization of Fibonacci numbers and are determined as follows:
- *F*(*k*,<=*n*)<==<=0, for integer *n*, 1<=≤<=*n*<=<<=*k*; - *F*(*k*,<=*k*)<==<=1; - *F*(*k*,<=*n*)<==<=*F*(*k*,<=*n*<=-<=1)<=+<=*F*(*k*,<=*n*<=-<=2)<=+<=...<=+<=*F*(*k*,<=*n*<=-<=*k*), for integer *n*, *n*<=><=*k*.
Note that we determine the *k*-bonacci numbers, *F*(*k*,<=*n*), only for integer values of *n* and *k*.
You've got a number *s*, represent it as a sum of several (at least two) distinct *k*-bonacci numbers.
Input Specification:
The first line contains two integers *s* and *k* (1<=≤<=*s*,<=*k*<=≤<=109; *k*<=><=1).
Output Specification:
In the first line print an integer *m* (*m*<=≥<=2) that shows how many numbers are in the found representation. In the second line print *m* distinct integers *a*1,<=*a*2,<=...,<=*a**m*. Each printed integer should be a *k*-bonacci number. The sum of printed integers must equal *s*.
It is guaranteed that the answer exists. If there are several possible answers, print any of them.
Demo Input:
['5 2\n', '21 5\n']
Demo Output:
['3\n0 2 3\n', '3\n4 1 16\n']
Note:
none | ```python
s,k=map(int,input().split())
f=[0]
f.append(1)
while(True):
cur=sum(f[-k:])
if cur>s:
break
f.append(cur)
f=list(set(f))
f.sort()
ans=[]
i=len(f)-1
while(s and i>0):
if f[i]<=s:
s-=f[i]
ans.append(f[i])
i-=1
print(len(ans)+1)
print(*(ans+[0]))
#Copied
``` | 3 | |
55 | A | Flea travel | PROGRAMMING | 1,200 | [
"implementation",
"math"
] | A. Flea travel | 1 | 256 | A flea is sitting at one of the *n* hassocks, arranged in a circle, at the moment. After minute number *k* the flea jumps through *k*<=-<=1 hassoсks (clockwise). For example, after the first minute the flea jumps to the neighboring hassock. You should answer: will the flea visit all the hassocks or not. We assume that flea has infinitely much time for this jumping. | The only line contains single integer: 1<=≤<=*n*<=≤<=1000 — number of hassocks. | Output "YES" if all the hassocks will be visited and "NO" otherwise. | [
"1\n",
"3\n"
] | [
"YES\n",
"NO\n"
] | none | 500 | [
{
"input": "1",
"output": "YES"
},
{
"input": "3",
"output": "NO"
},
{
"input": "2",
"output": "YES"
},
{
"input": "4",
"output": "YES"
},
{
"input": "5",
"output": "NO"
},
{
"input": "6",
"output": "NO"
},
{
"input": "7",
"output": "NO... | 1,505,674,572 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 6 | 46 | 4,608,000 | a=int(input())
b=bin(a)
z=b.count("1")
if z%2==0:
print("NO")
else:
print("YES") | Title: Flea travel
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
A flea is sitting at one of the *n* hassocks, arranged in a circle, at the moment. After minute number *k* the flea jumps through *k*<=-<=1 hassoсks (clockwise). For example, after the first minute the flea jumps to the neighboring hassock. You should answer: will the flea visit all the hassocks or not. We assume that flea has infinitely much time for this jumping.
Input Specification:
The only line contains single integer: 1<=≤<=*n*<=≤<=1000 — number of hassocks.
Output Specification:
Output "YES" if all the hassocks will be visited and "NO" otherwise.
Demo Input:
['1\n', '3\n']
Demo Output:
['YES\n', 'NO\n']
Note:
none | ```python
a=int(input())
b=bin(a)
z=b.count("1")
if z%2==0:
print("NO")
else:
print("YES")
``` | 0 |
734 | A | Anton and Danik | PROGRAMMING | 800 | [
"implementation",
"strings"
] | null | null | Anton likes to play chess, and so does his friend Danik.
Once they have played *n* games in a row. For each game it's known who was the winner — Anton or Danik. None of the games ended with a tie.
Now Anton wonders, who won more games, he or Danik? Help him determine this. | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of games played.
The second line contains a string *s*, consisting of *n* uppercase English letters 'A' and 'D' — the outcome of each of the games. The *i*-th character of the string is equal to 'A' if the Anton won the *i*-th game and 'D' if Danik won the *i*-th game. | If Anton won more games than Danik, print "Anton" (without quotes) in the only line of the output.
If Danik won more games than Anton, print "Danik" (without quotes) in the only line of the output.
If Anton and Danik won the same number of games, print "Friendship" (without quotes). | [
"6\nADAAAA\n",
"7\nDDDAADA\n",
"6\nDADADA\n"
] | [
"Anton\n",
"Danik\n",
"Friendship\n"
] | In the first sample, Anton won 6 games, while Danik — only 1. Hence, the answer is "Anton".
In the second sample, Anton won 3 games and Danik won 4 games, so the answer is "Danik".
In the third sample, both Anton and Danik won 3 games and the answer is "Friendship". | 500 | [
{
"input": "6\nADAAAA",
"output": "Anton"
},
{
"input": "7\nDDDAADA",
"output": "Danik"
},
{
"input": "6\nDADADA",
"output": "Friendship"
},
{
"input": "10\nDDDDADDADD",
"output": "Danik"
},
{
"input": "40\nAAAAAAAAADDAAAAAAAAAAADADDAAAAAAAAAAADAA",
"output": ... | 1,695,909,460 | 2,147,483,647 | Python 3 | OK | TESTS | 25 | 46 | 102,400 | n = int(input())
s = input()
numa, numd = 0, 0
for i in s:
if i == 'A':
numa += 1
else:
numd += 1
if numa > numd:
print("Anton")
elif numa < numd:
print("Danik")
else:
print("Friendship")
| Title: Anton and Danik
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Anton likes to play chess, and so does his friend Danik.
Once they have played *n* games in a row. For each game it's known who was the winner — Anton or Danik. None of the games ended with a tie.
Now Anton wonders, who won more games, he or Danik? Help him determine this.
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of games played.
The second line contains a string *s*, consisting of *n* uppercase English letters 'A' and 'D' — the outcome of each of the games. The *i*-th character of the string is equal to 'A' if the Anton won the *i*-th game and 'D' if Danik won the *i*-th game.
Output Specification:
If Anton won more games than Danik, print "Anton" (without quotes) in the only line of the output.
If Danik won more games than Anton, print "Danik" (without quotes) in the only line of the output.
If Anton and Danik won the same number of games, print "Friendship" (without quotes).
Demo Input:
['6\nADAAAA\n', '7\nDDDAADA\n', '6\nDADADA\n']
Demo Output:
['Anton\n', 'Danik\n', 'Friendship\n']
Note:
In the first sample, Anton won 6 games, while Danik — only 1. Hence, the answer is "Anton".
In the second sample, Anton won 3 games and Danik won 4 games, so the answer is "Danik".
In the third sample, both Anton and Danik won 3 games and the answer is "Friendship". | ```python
n = int(input())
s = input()
numa, numd = 0, 0
for i in s:
if i == 'A':
numa += 1
else:
numd += 1
if numa > numd:
print("Anton")
elif numa < numd:
print("Danik")
else:
print("Friendship")
``` | 3 | |
459 | C | Pashmak and Buses | PROGRAMMING | 1,900 | [
"combinatorics",
"constructive algorithms",
"math"
] | null | null | Recently Pashmak has been employed in a transportation company. The company has *k* buses and has a contract with a school which has *n* students. The school planned to take the students to *d* different places for *d* days (each day in one place). Each day the company provides all the buses for the trip. Pashmak has to arrange the students in the buses. He wants to arrange the students in a way that no two students become close friends. In his ridiculous idea, two students will become close friends if and only if they are in the same buses for all *d* days.
Please help Pashmak with his weird idea. Assume that each bus has an unlimited capacity. | The first line of input contains three space-separated integers *n*,<=*k*,<=*d* (1<=≤<=*n*,<=*d*<=≤<=1000; 1<=≤<=*k*<=≤<=109). | If there is no valid arrangement just print -1. Otherwise print *d* lines, in each of them print *n* integers. The *j*-th integer of the *i*-th line shows which bus the *j*-th student has to take on the *i*-th day. You can assume that the buses are numbered from 1 to *k*. | [
"3 2 2\n",
"3 2 1\n"
] | [
"1 1 2 \n1 2 1 \n",
"-1\n"
] | Note that two students become close friends only if they share a bus each day. But the bus they share can differ from day to day. | 2,000 | [
{
"input": "3 2 2",
"output": "1 1 2 \n1 2 1 "
},
{
"input": "3 2 1",
"output": "-1"
},
{
"input": "7 2 3",
"output": "1 1 1 1 2 2 2 \n1 1 2 2 1 1 2 \n1 2 1 2 1 2 1 "
},
{
"input": "9 2 3",
"output": "-1"
},
{
"input": "2 1 1000",
"output": "-1"
},
{
"... | 1,669,877,903 | 2,147,483,647 | PyPy 3 | OK | TESTS | 41 | 639 | 17,408,000 | from collections import defaultdict, deque, Counter
from functools import lru_cache, reduce
from heapq import heappush, heappop, heapify
from bisect import bisect_right, bisect_left
from random import randint
import math
import operator
import sys
from itertools import accumulate
#sys.stdin = open("sleepy.in", "r")
#sys.stdout = open("sleepy.out","w")
#input = sys.stdin.readline
#print = sys.stdout.write
hpop = heappop
hpush = heappush
MOD = 10**9 + 7
def add_one(arr,k):
for i in range(len(arr)):
if arr[i] < k - 1:
arr[i] += 1
break
arr[i] = 0
def solution():
n,k,d = map(int,input().split())
# check if its possible
if n > k**d:
return print(-1)
res = []
arr = [0]*d
for _ in range(n):
res.append(arr.copy())
add_one(arr, k)
for j in range(len(res[0])):
print(*[res[i][j] + 1 for i in range(len(res))])
# am going to use union find
# wowo
def main():
#test()
t = 1
#t = int(input())
for _ in range(t):
solution()
#import sys
#import threading
#sys.setrecursionlimit(10**6)
#threading.stack_size(1 << 27)
#thread = threading.Thread(target=main)
#thread.start(); thread.join()
main()
| Title: Pashmak and Buses
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Recently Pashmak has been employed in a transportation company. The company has *k* buses and has a contract with a school which has *n* students. The school planned to take the students to *d* different places for *d* days (each day in one place). Each day the company provides all the buses for the trip. Pashmak has to arrange the students in the buses. He wants to arrange the students in a way that no two students become close friends. In his ridiculous idea, two students will become close friends if and only if they are in the same buses for all *d* days.
Please help Pashmak with his weird idea. Assume that each bus has an unlimited capacity.
Input Specification:
The first line of input contains three space-separated integers *n*,<=*k*,<=*d* (1<=≤<=*n*,<=*d*<=≤<=1000; 1<=≤<=*k*<=≤<=109).
Output Specification:
If there is no valid arrangement just print -1. Otherwise print *d* lines, in each of them print *n* integers. The *j*-th integer of the *i*-th line shows which bus the *j*-th student has to take on the *i*-th day. You can assume that the buses are numbered from 1 to *k*.
Demo Input:
['3 2 2\n', '3 2 1\n']
Demo Output:
['1 1 2 \n1 2 1 \n', '-1\n']
Note:
Note that two students become close friends only if they share a bus each day. But the bus they share can differ from day to day. | ```python
from collections import defaultdict, deque, Counter
from functools import lru_cache, reduce
from heapq import heappush, heappop, heapify
from bisect import bisect_right, bisect_left
from random import randint
import math
import operator
import sys
from itertools import accumulate
#sys.stdin = open("sleepy.in", "r")
#sys.stdout = open("sleepy.out","w")
#input = sys.stdin.readline
#print = sys.stdout.write
hpop = heappop
hpush = heappush
MOD = 10**9 + 7
def add_one(arr,k):
for i in range(len(arr)):
if arr[i] < k - 1:
arr[i] += 1
break
arr[i] = 0
def solution():
n,k,d = map(int,input().split())
# check if its possible
if n > k**d:
return print(-1)
res = []
arr = [0]*d
for _ in range(n):
res.append(arr.copy())
add_one(arr, k)
for j in range(len(res[0])):
print(*[res[i][j] + 1 for i in range(len(res))])
# am going to use union find
# wowo
def main():
#test()
t = 1
#t = int(input())
for _ in range(t):
solution()
#import sys
#import threading
#sys.setrecursionlimit(10**6)
#threading.stack_size(1 << 27)
#thread = threading.Thread(target=main)
#thread.start(); thread.join()
main()
``` | 3 | |
639 | B | Bear and Forgotten Tree 3 | PROGRAMMING | 1,600 | [
"constructive algorithms",
"graphs",
"trees"
] | null | null | A tree is a connected undirected graph consisting of *n* vertices and *n*<=<=-<=<=1 edges. Vertices are numbered 1 through *n*.
Limak is a little polar bear and Radewoosh is his evil enemy. Limak once had a tree but Radewoosh stolen it. Bear is very sad now because he doesn't remember much about the tree — he can tell you only three values *n*, *d* and *h*:
- The tree had exactly *n* vertices. - The tree had diameter *d*. In other words, *d* was the biggest distance between two vertices. - Limak also remembers that he once rooted the tree in vertex 1 and after that its height was *h*. In other words, *h* was the biggest distance between vertex 1 and some other vertex.
The distance between two vertices of the tree is the number of edges on the simple path between them.
Help Limak to restore his tree. Check whether there exists a tree satisfying the given conditions. Find any such tree and print its edges in any order. It's also possible that Limak made a mistake and there is no suitable tree – in this case print "-1". | The first line contains three integers *n*, *d* and *h* (2<=≤<=*n*<=≤<=100<=000,<=1<=≤<=*h*<=≤<=*d*<=≤<=*n*<=-<=1) — the number of vertices, diameter, and height after rooting in vertex 1, respectively. | If there is no tree matching what Limak remembers, print the only line with "-1" (without the quotes).
Otherwise, describe any tree matching Limak's description. Print *n*<=-<=1 lines, each with two space-separated integers – indices of vertices connected by an edge. If there are many valid trees, print any of them. You can print edges in any order. | [
"5 3 2\n",
"8 5 2\n",
"8 4 2\n"
] | [
"1 2\n1 3\n3 4\n3 5",
"-1\n",
"4 8\n5 7\n2 3\n8 1\n2 1\n5 6\n1 5\n"
] | Below you can see trees printed to the output in the first sample and the third sample. | 750 | [
{
"input": "5 3 2",
"output": "1 2\n2 3\n1 4\n5 1"
},
{
"input": "8 5 2",
"output": "-1"
},
{
"input": "8 4 2",
"output": "4 8\n5 7\n2 3\n8 1\n2 1\n5 6\n1 5"
},
{
"input": "2 1 1",
"output": "1 2"
},
{
"input": "10 3 3",
"output": "1 2\n2 3\n3 4\n5 2\n6 2\n7 2... | 1,637,318,570 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 9 | 217 | 9,318,400 | n,d,h = map(int, input().split())
if d > 2*h:
print(-1)
else:
if d == h:
node1 = 1
node2 = 2
for i in range(h):
print(node1, node2)
node1 += 1
node2 += 1
node1 = h
node2 = h+2
while node2 <= n:
print(node1, node2)
node2 += 1
else:
node1 = 1
node2 = 2
for i in range(h):
print(node1, node2)
node1 += 1
node2 += 1
node1 = 1
node2 = h+2
while node2 <= d+1:
print(node1, node2)
node1 = node2
node2 += 1
node1 = 1
while node2 <= n:
print(node1, node2)
node2 += 1 | Title: Bear and Forgotten Tree 3
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A tree is a connected undirected graph consisting of *n* vertices and *n*<=<=-<=<=1 edges. Vertices are numbered 1 through *n*.
Limak is a little polar bear and Radewoosh is his evil enemy. Limak once had a tree but Radewoosh stolen it. Bear is very sad now because he doesn't remember much about the tree — he can tell you only three values *n*, *d* and *h*:
- The tree had exactly *n* vertices. - The tree had diameter *d*. In other words, *d* was the biggest distance between two vertices. - Limak also remembers that he once rooted the tree in vertex 1 and after that its height was *h*. In other words, *h* was the biggest distance between vertex 1 and some other vertex.
The distance between two vertices of the tree is the number of edges on the simple path between them.
Help Limak to restore his tree. Check whether there exists a tree satisfying the given conditions. Find any such tree and print its edges in any order. It's also possible that Limak made a mistake and there is no suitable tree – in this case print "-1".
Input Specification:
The first line contains three integers *n*, *d* and *h* (2<=≤<=*n*<=≤<=100<=000,<=1<=≤<=*h*<=≤<=*d*<=≤<=*n*<=-<=1) — the number of vertices, diameter, and height after rooting in vertex 1, respectively.
Output Specification:
If there is no tree matching what Limak remembers, print the only line with "-1" (without the quotes).
Otherwise, describe any tree matching Limak's description. Print *n*<=-<=1 lines, each with two space-separated integers – indices of vertices connected by an edge. If there are many valid trees, print any of them. You can print edges in any order.
Demo Input:
['5 3 2\n', '8 5 2\n', '8 4 2\n']
Demo Output:
['1 2\n1 3\n3 4\n3 5', '-1\n', '4 8\n5 7\n2 3\n8 1\n2 1\n5 6\n1 5\n']
Note:
Below you can see trees printed to the output in the first sample and the third sample. | ```python
n,d,h = map(int, input().split())
if d > 2*h:
print(-1)
else:
if d == h:
node1 = 1
node2 = 2
for i in range(h):
print(node1, node2)
node1 += 1
node2 += 1
node1 = h
node2 = h+2
while node2 <= n:
print(node1, node2)
node2 += 1
else:
node1 = 1
node2 = 2
for i in range(h):
print(node1, node2)
node1 += 1
node2 += 1
node1 = 1
node2 = h+2
while node2 <= d+1:
print(node1, node2)
node1 = node2
node2 += 1
node1 = 1
while node2 <= n:
print(node1, node2)
node2 += 1
``` | 0 | |
552 | B | Vanya and Books | PROGRAMMING | 1,200 | [
"implementation",
"math"
] | null | null | Vanya got an important task — he should enumerate books in the library and label each book with its number. Each of the *n* books should be assigned with a number from 1 to *n*. Naturally, distinct books should be assigned distinct numbers.
Vanya wants to know how many digits he will have to write down as he labels the books. | The first line contains integer *n* (1<=≤<=*n*<=≤<=109) — the number of books in the library. | Print the number of digits needed to number all the books. | [
"13\n",
"4\n"
] | [
"17\n",
"4\n"
] | Note to the first test. The books get numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, which totals to 17 digits.
Note to the second sample. The books get numbers 1, 2, 3, 4, which totals to 4 digits. | 1,000 | [
{
"input": "13",
"output": "17"
},
{
"input": "4",
"output": "4"
},
{
"input": "100",
"output": "192"
},
{
"input": "99",
"output": "189"
},
{
"input": "1000000000",
"output": "8888888899"
},
{
"input": "1000000",
"output": "5888896"
},
{
"... | 1,596,862,180 | 2,147,483,647 | Python 3 | OK | TESTS | 55 | 109 | 6,656,000 | a=int(input())
digits=0
rem=0
for i in range(len(str(a))-1):
f=(int(str(9)*(i+1))-rem)
digits+=f*(i+1)
rem += f
print(digits+(a-rem)*len(str(a))) | Title: Vanya and Books
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vanya got an important task — he should enumerate books in the library and label each book with its number. Each of the *n* books should be assigned with a number from 1 to *n*. Naturally, distinct books should be assigned distinct numbers.
Vanya wants to know how many digits he will have to write down as he labels the books.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=109) — the number of books in the library.
Output Specification:
Print the number of digits needed to number all the books.
Demo Input:
['13\n', '4\n']
Demo Output:
['17\n', '4\n']
Note:
Note to the first test. The books get numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, which totals to 17 digits.
Note to the second sample. The books get numbers 1, 2, 3, 4, which totals to 4 digits. | ```python
a=int(input())
digits=0
rem=0
for i in range(len(str(a))-1):
f=(int(str(9)*(i+1))-rem)
digits+=f*(i+1)
rem += f
print(digits+(a-rem)*len(str(a)))
``` | 3 | |
620 | A | Professor GukiZ's Robot | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | Professor GukiZ makes a new robot. The robot are in the point with coordinates (*x*1,<=*y*1) and should go to the point (*x*2,<=*y*2). In a single step the robot can change any of its coordinates (maybe both of them) by one (decrease or increase). So the robot can move in one of the 8 directions. Find the minimal number of steps the robot should make to get the finish position. | The first line contains two integers *x*1,<=*y*1 (<=-<=109<=≤<=*x*1,<=*y*1<=≤<=109) — the start position of the robot.
The second line contains two integers *x*2,<=*y*2 (<=-<=109<=≤<=*x*2,<=*y*2<=≤<=109) — the finish position of the robot. | Print the only integer *d* — the minimal number of steps to get the finish position. | [
"0 0\n4 5\n",
"3 4\n6 1\n"
] | [
"5\n",
"3\n"
] | In the first example robot should increase both of its coordinates by one four times, so it will be in position (4, 4). After that robot should simply increase its *y* coordinate and get the finish position.
In the second example robot should simultaneously increase *x* coordinate and decrease *y* coordinate by one three times. | 0 | [
{
"input": "0 0\n4 5",
"output": "5"
},
{
"input": "3 4\n6 1",
"output": "3"
},
{
"input": "0 0\n4 6",
"output": "6"
},
{
"input": "1 1\n-3 -5",
"output": "6"
},
{
"input": "-1 -1\n-10 100",
"output": "101"
},
{
"input": "1 -1\n100 -100",
"output":... | 1,623,938,440 | 2,147,483,647 | Python 3 | OK | TESTS | 75 | 78 | 0 | x1 ,y1 = map(int,input().strip().split())
x2 , y2 = map(int,input().strip().split())
ans = max(abs(x1 - x2) , abs(y1 - y2))
print(ans) | Title: Professor GukiZ's Robot
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Professor GukiZ makes a new robot. The robot are in the point with coordinates (*x*1,<=*y*1) and should go to the point (*x*2,<=*y*2). In a single step the robot can change any of its coordinates (maybe both of them) by one (decrease or increase). So the robot can move in one of the 8 directions. Find the minimal number of steps the robot should make to get the finish position.
Input Specification:
The first line contains two integers *x*1,<=*y*1 (<=-<=109<=≤<=*x*1,<=*y*1<=≤<=109) — the start position of the robot.
The second line contains two integers *x*2,<=*y*2 (<=-<=109<=≤<=*x*2,<=*y*2<=≤<=109) — the finish position of the robot.
Output Specification:
Print the only integer *d* — the minimal number of steps to get the finish position.
Demo Input:
['0 0\n4 5\n', '3 4\n6 1\n']
Demo Output:
['5\n', '3\n']
Note:
In the first example robot should increase both of its coordinates by one four times, so it will be in position (4, 4). After that robot should simply increase its *y* coordinate and get the finish position.
In the second example robot should simultaneously increase *x* coordinate and decrease *y* coordinate by one three times. | ```python
x1 ,y1 = map(int,input().strip().split())
x2 , y2 = map(int,input().strip().split())
ans = max(abs(x1 - x2) , abs(y1 - y2))
print(ans)
``` | 3 | |
883 | M | Quadcopter Competition | PROGRAMMING | 1,100 | [
"greedy",
"math"
] | null | null | Polycarp takes part in a quadcopter competition. According to the rules a flying robot should:
- start the race from some point of a field, - go around the flag, - close cycle returning back to the starting point.
Polycarp knows the coordinates of the starting point (*x*1,<=*y*1) and the coordinates of the point where the flag is situated (*x*2,<=*y*2). Polycarp’s quadcopter can fly only parallel to the sides of the field each tick changing exactly one coordinate by 1. It means that in one tick the quadcopter can fly from the point (*x*,<=*y*) to any of four points: (*x*<=-<=1,<=*y*), (*x*<=+<=1,<=*y*), (*x*,<=*y*<=-<=1) or (*x*,<=*y*<=+<=1).
Thus the quadcopter path is a closed cycle starting and finishing in (*x*1,<=*y*1) and containing the point (*x*2,<=*y*2) strictly inside.
What is the minimal length of the quadcopter path? | The first line contains two integer numbers *x*1 and *y*1 (<=-<=100<=≤<=*x*1,<=*y*1<=≤<=100) — coordinates of the quadcopter starting (and finishing) point.
The second line contains two integer numbers *x*2 and *y*2 (<=-<=100<=≤<=*x*2,<=*y*2<=≤<=100) — coordinates of the flag.
It is guaranteed that the quadcopter starting point and the flag do not coincide. | Print the length of minimal path of the quadcopter to surround the flag and return back. | [
"1 5\n5 2\n",
"0 1\n0 0\n"
] | [
"18\n",
"8\n"
] | none | 0 | [
{
"input": "1 5\n5 2",
"output": "18"
},
{
"input": "0 1\n0 0",
"output": "8"
},
{
"input": "-100 -100\n100 100",
"output": "804"
},
{
"input": "-100 -100\n-100 100",
"output": "406"
},
{
"input": "-100 -100\n100 -100",
"output": "406"
},
{
"input": "1... | 1,511,320,318 | 2,147,483,647 | Python 3 | OK | TESTS | 100 | 62 | 0 | x,y=map(int,input().split())
a,b=map(int,input().split())
print((abs(a-x)+abs(b-y))*2+4+(a==x or b==y)*2) | Title: Quadcopter Competition
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp takes part in a quadcopter competition. According to the rules a flying robot should:
- start the race from some point of a field, - go around the flag, - close cycle returning back to the starting point.
Polycarp knows the coordinates of the starting point (*x*1,<=*y*1) and the coordinates of the point where the flag is situated (*x*2,<=*y*2). Polycarp’s quadcopter can fly only parallel to the sides of the field each tick changing exactly one coordinate by 1. It means that in one tick the quadcopter can fly from the point (*x*,<=*y*) to any of four points: (*x*<=-<=1,<=*y*), (*x*<=+<=1,<=*y*), (*x*,<=*y*<=-<=1) or (*x*,<=*y*<=+<=1).
Thus the quadcopter path is a closed cycle starting and finishing in (*x*1,<=*y*1) and containing the point (*x*2,<=*y*2) strictly inside.
What is the minimal length of the quadcopter path?
Input Specification:
The first line contains two integer numbers *x*1 and *y*1 (<=-<=100<=≤<=*x*1,<=*y*1<=≤<=100) — coordinates of the quadcopter starting (and finishing) point.
The second line contains two integer numbers *x*2 and *y*2 (<=-<=100<=≤<=*x*2,<=*y*2<=≤<=100) — coordinates of the flag.
It is guaranteed that the quadcopter starting point and the flag do not coincide.
Output Specification:
Print the length of minimal path of the quadcopter to surround the flag and return back.
Demo Input:
['1 5\n5 2\n', '0 1\n0 0\n']
Demo Output:
['18\n', '8\n']
Note:
none | ```python
x,y=map(int,input().split())
a,b=map(int,input().split())
print((abs(a-x)+abs(b-y))*2+4+(a==x or b==y)*2)
``` | 3 | |
12 | B | Correct Solution? | PROGRAMMING | 1,100 | [
"implementation",
"sortings"
] | B. Correct Solution? | 2 | 256 | One cold winter evening Alice and her older brother Bob was sitting at home near the fireplace and giving each other interesting problems to solve. When it was Alice's turn, she told the number *n* to Bob and said:
—Shuffle the digits in this number in order to obtain the smallest possible number without leading zeroes.
—No problem! — said Bob and immediately gave her an answer.
Alice said a random number, so she doesn't know whether Bob's answer is correct. Help her to find this out, because impatient brother is waiting for the verdict. | The first line contains one integer *n* (0<=≤<=*n*<=≤<=109) without leading zeroes. The second lines contains one integer *m* (0<=≤<=*m*<=≤<=109) — Bob's answer, possibly with leading zeroes. | Print OK if Bob's answer is correct and WRONG_ANSWER otherwise. | [
"3310\n1033\n",
"4\n5\n"
] | [
"OK\n",
"WRONG_ANSWER\n"
] | none | 0 | [
{
"input": "3310\n1033",
"output": "OK"
},
{
"input": "4\n5",
"output": "WRONG_ANSWER"
},
{
"input": "40\n04",
"output": "WRONG_ANSWER"
},
{
"input": "12\n12",
"output": "OK"
},
{
"input": "432\n234",
"output": "OK"
},
{
"input": "17109\n01179",
"o... | 1,668,048,136 | 2,147,483,647 | Python 3 | OK | TESTS | 32 | 92 | 0 | def solve():
n=list(input().strip())
m=list(input().strip())
n.sort()
if n[0]=='0':
for i in range(1,len(n)):
if n[i]!='0':
n[0],n[i]=n[i],n[0]
break
if m==n:
print("OK")
else:
print("WRONG_ANSWER")
solve() | Title: Correct Solution?
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
One cold winter evening Alice and her older brother Bob was sitting at home near the fireplace and giving each other interesting problems to solve. When it was Alice's turn, she told the number *n* to Bob and said:
—Shuffle the digits in this number in order to obtain the smallest possible number without leading zeroes.
—No problem! — said Bob and immediately gave her an answer.
Alice said a random number, so she doesn't know whether Bob's answer is correct. Help her to find this out, because impatient brother is waiting for the verdict.
Input Specification:
The first line contains one integer *n* (0<=≤<=*n*<=≤<=109) without leading zeroes. The second lines contains one integer *m* (0<=≤<=*m*<=≤<=109) — Bob's answer, possibly with leading zeroes.
Output Specification:
Print OK if Bob's answer is correct and WRONG_ANSWER otherwise.
Demo Input:
['3310\n1033\n', '4\n5\n']
Demo Output:
['OK\n', 'WRONG_ANSWER\n']
Note:
none | ```python
def solve():
n=list(input().strip())
m=list(input().strip())
n.sort()
if n[0]=='0':
for i in range(1,len(n)):
if n[i]!='0':
n[0],n[i]=n[i],n[0]
break
if m==n:
print("OK")
else:
print("WRONG_ANSWER")
solve()
``` | 3.977 |
194 | A | Exams | PROGRAMMING | 900 | [
"implementation",
"math"
] | null | null | One day the Codeforces round author sat exams. He had *n* exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2.
The author would need to spend too much time and effort to make the sum of his marks strictly more than *k*. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than *k*, the author's mum won't be pleased at all.
The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams.
Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all *n* exams equal exactly *k*. | The single input line contains space-separated integers *n* and *k* (1<=≤<=*n*<=≤<=50, 1<=≤<=*k*<=≤<=250) — the number of exams and the required sum of marks.
It is guaranteed that there exists a way to pass *n* exams in the way that makes the sum of marks equal exactly *k*. | Print the single number — the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal *k*. | [
"4 8\n",
"4 10\n",
"1 3\n"
] | [
"4\n",
"2\n",
"0\n"
] | In the first sample the author has to get a 2 for all his exams.
In the second sample he should get a 3 for two exams and a 2 for two more.
In the third sample he should get a 3 for one exam. | 500 | [
{
"input": "4 8",
"output": "4"
},
{
"input": "4 10",
"output": "2"
},
{
"input": "1 3",
"output": "0"
},
{
"input": "1 2",
"output": "1"
},
{
"input": "4 9",
"output": "3"
},
{
"input": "50 234",
"output": "0"
},
{
"input": "50 100",
"... | 1,639,485,268 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 38 | 216 | 0 | n, k = [int(i) for i in input().split()]
t = n * 3
print(max(t-k, 0)) | Title: Exams
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
One day the Codeforces round author sat exams. He had *n* exams and he needed to get an integer from 2 to 5 for each exam. He will have to re-sit each failed exam, i.e. the exam that gets mark 2.
The author would need to spend too much time and effort to make the sum of his marks strictly more than *k*. That could have spoilt the Codeforces round. On the other hand, if the sum of his marks is strictly less than *k*, the author's mum won't be pleased at all.
The Codeforces authors are very smart and they always get the mark they choose themselves. Also, the Codeforces authors just hate re-sitting exams.
Help the author and find the minimum number of exams he will have to re-sit if he passes the exams in the way that makes the sum of marks for all *n* exams equal exactly *k*.
Input Specification:
The single input line contains space-separated integers *n* and *k* (1<=≤<=*n*<=≤<=50, 1<=≤<=*k*<=≤<=250) — the number of exams and the required sum of marks.
It is guaranteed that there exists a way to pass *n* exams in the way that makes the sum of marks equal exactly *k*.
Output Specification:
Print the single number — the minimum number of exams that the author will get a 2 for, considering that the sum of marks for all exams must equal *k*.
Demo Input:
['4 8\n', '4 10\n', '1 3\n']
Demo Output:
['4\n', '2\n', '0\n']
Note:
In the first sample the author has to get a 2 for all his exams.
In the second sample he should get a 3 for two exams and a 2 for two more.
In the third sample he should get a 3 for one exam. | ```python
n, k = [int(i) for i in input().split()]
t = n * 3
print(max(t-k, 0))
``` | 3 | |
1,008 | A | Romaji | PROGRAMMING | 900 | [
"implementation",
"strings"
] | null | null | Vitya has just started learning Berlanese language. It is known that Berlanese uses the Latin alphabet. Vowel letters are "a", "o", "u", "i", and "e". Other letters are consonant.
In Berlanese, there has to be a vowel after every consonant, but there can be any letter after any vowel. The only exception is a consonant "n"; after this letter, there can be any letter (not only a vowel) or there can be no letter at all. For example, the words "harakiri", "yupie", "man", and "nbo" are Berlanese while the words "horse", "king", "my", and "nz" are not.
Help Vitya find out if a word $s$ is Berlanese. | The first line of the input contains the string $s$ consisting of $|s|$ ($1\leq |s|\leq 100$) lowercase Latin letters. | Print "YES" (without quotes) if there is a vowel after every consonant except "n", otherwise print "NO".
You can print each letter in any case (upper or lower). | [
"sumimasen\n",
"ninja\n",
"codeforces\n"
] | [
"YES\n",
"YES\n",
"NO\n"
] | In the first and second samples, a vowel goes after each consonant except "n", so the word is Berlanese.
In the third sample, the consonant "c" goes after the consonant "r", and the consonant "s" stands on the end, so the word is not Berlanese. | 500 | [
{
"input": "sumimasen",
"output": "YES"
},
{
"input": "ninja",
"output": "YES"
},
{
"input": "codeforces",
"output": "NO"
},
{
"input": "auuaoonntanonnuewannnnpuuinniwoonennyolonnnvienonpoujinndinunnenannmuveoiuuhikucuziuhunnnmunzancenen",
"output": "YES"
},
{
"in... | 1,637,333,391 | 2,147,483,647 | PyPy 3 | COMPILATION_ERROR | TESTS | 0 | 0 | 0 | k=input()
a='aeiou'
b=aeioun'
x='a'
ans='YES'
for c in k:
if x not in b and c not in a:
ans='NO'
break
x=c
if x not in b:
ans='NO'
print(ans)
| Title: Romaji
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vitya has just started learning Berlanese language. It is known that Berlanese uses the Latin alphabet. Vowel letters are "a", "o", "u", "i", and "e". Other letters are consonant.
In Berlanese, there has to be a vowel after every consonant, but there can be any letter after any vowel. The only exception is a consonant "n"; after this letter, there can be any letter (not only a vowel) or there can be no letter at all. For example, the words "harakiri", "yupie", "man", and "nbo" are Berlanese while the words "horse", "king", "my", and "nz" are not.
Help Vitya find out if a word $s$ is Berlanese.
Input Specification:
The first line of the input contains the string $s$ consisting of $|s|$ ($1\leq |s|\leq 100$) lowercase Latin letters.
Output Specification:
Print "YES" (without quotes) if there is a vowel after every consonant except "n", otherwise print "NO".
You can print each letter in any case (upper or lower).
Demo Input:
['sumimasen\n', 'ninja\n', 'codeforces\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n']
Note:
In the first and second samples, a vowel goes after each consonant except "n", so the word is Berlanese.
In the third sample, the consonant "c" goes after the consonant "r", and the consonant "s" stands on the end, so the word is not Berlanese. | ```python
k=input()
a='aeiou'
b=aeioun'
x='a'
ans='YES'
for c in k:
if x not in b and c not in a:
ans='NO'
break
x=c
if x not in b:
ans='NO'
print(ans)
``` | -1 | |
544 | A | Set of Strings | PROGRAMMING | 1,100 | [
"implementation",
"strings"
] | null | null | You are given a string *q*. A sequence of *k* strings *s*1,<=*s*2,<=...,<=*s**k* is called beautiful, if the concatenation of these strings is string *q* (formally, *s*1<=+<=*s*2<=+<=...<=+<=*s**k*<==<=*q*) and the first characters of these strings are distinct.
Find any beautiful sequence of strings or determine that the beautiful sequence doesn't exist. | The first line contains a positive integer *k* (1<=≤<=*k*<=≤<=26) — the number of strings that should be in a beautiful sequence.
The second line contains string *q*, consisting of lowercase Latin letters. The length of the string is within range from 1 to 100, inclusive. | If such sequence doesn't exist, then print in a single line "NO" (without the quotes). Otherwise, print in the first line "YES" (without the quotes) and in the next *k* lines print the beautiful sequence of strings *s*1,<=*s*2,<=...,<=*s**k*.
If there are multiple possible answers, print any of them. | [
"1\nabca\n",
"2\naaacas\n",
"4\nabc\n"
] | [
"YES\nabca\n",
"YES\naaa\ncas\n",
"NO\n"
] | In the second sample there are two possible answers: {"*aaaca*", "*s*"} and {"*aaa*", "*cas*"}. | 500 | [
{
"input": "1\nabca",
"output": "YES\nabca"
},
{
"input": "2\naaacas",
"output": "YES\naaa\ncas"
},
{
"input": "4\nabc",
"output": "NO"
},
{
"input": "3\nnddkhkhkdndknndkhrnhddkrdhrnrrnkkdnnndndrdhnknknhnrnnkrrdhrkhkrkhnkhkhhrhdnrndnknrrhdrdrkhdrkkhkrnkk",
"output": "YES\... | 1,431,018,400 | 2,200 | Python 3 | OK | TESTS | 33 | 62 | 0 | n = int(input())
a = input()
d = {}
count = 0
for i in range(len(a)):
if d.get(a[i]) == None:
d[a[i]] = 1
count += 1
if count >= n:
print('YES')
d = {}
count = 0
i = 0
j = 0
while count < n - 1:
if d.get(a[i]) == None:
d[a[i]] = 1
if a[j:i] != '':
count += 1
print(a[j:i])
j = i
i += 1
print(a[j:])
else:
print('NO') | Title: Set of Strings
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a string *q*. A sequence of *k* strings *s*1,<=*s*2,<=...,<=*s**k* is called beautiful, if the concatenation of these strings is string *q* (formally, *s*1<=+<=*s*2<=+<=...<=+<=*s**k*<==<=*q*) and the first characters of these strings are distinct.
Find any beautiful sequence of strings or determine that the beautiful sequence doesn't exist.
Input Specification:
The first line contains a positive integer *k* (1<=≤<=*k*<=≤<=26) — the number of strings that should be in a beautiful sequence.
The second line contains string *q*, consisting of lowercase Latin letters. The length of the string is within range from 1 to 100, inclusive.
Output Specification:
If such sequence doesn't exist, then print in a single line "NO" (without the quotes). Otherwise, print in the first line "YES" (without the quotes) and in the next *k* lines print the beautiful sequence of strings *s*1,<=*s*2,<=...,<=*s**k*.
If there are multiple possible answers, print any of them.
Demo Input:
['1\nabca\n', '2\naaacas\n', '4\nabc\n']
Demo Output:
['YES\nabca\n', 'YES\naaa\ncas\n', 'NO\n']
Note:
In the second sample there are two possible answers: {"*aaaca*", "*s*"} and {"*aaa*", "*cas*"}. | ```python
n = int(input())
a = input()
d = {}
count = 0
for i in range(len(a)):
if d.get(a[i]) == None:
d[a[i]] = 1
count += 1
if count >= n:
print('YES')
d = {}
count = 0
i = 0
j = 0
while count < n - 1:
if d.get(a[i]) == None:
d[a[i]] = 1
if a[j:i] != '':
count += 1
print(a[j:i])
j = i
i += 1
print(a[j:])
else:
print('NO')
``` | 3 | |
706 | B | Interesting drink | PROGRAMMING | 1,100 | [
"binary search",
"dp",
"implementation"
] | null | null | Vasiliy likes to rest after a hard work, so you may often meet him in some bar nearby. As all programmers do, he loves the famous drink "Beecola", which can be bought in *n* different shops in the city. It's known that the price of one bottle in the shop *i* is equal to *x**i* coins.
Vasiliy plans to buy his favorite drink for *q* consecutive days. He knows, that on the *i*-th day he will be able to spent *m**i* coins. Now, for each of the days he want to know in how many different shops he can buy a bottle of "Beecola". | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of shops in the city that sell Vasiliy's favourite drink.
The second line contains *n* integers *x**i* (1<=≤<=*x**i*<=≤<=100<=000) — prices of the bottles of the drink in the *i*-th shop.
The third line contains a single integer *q* (1<=≤<=*q*<=≤<=100<=000) — the number of days Vasiliy plans to buy the drink.
Then follow *q* lines each containing one integer *m**i* (1<=≤<=*m**i*<=≤<=109) — the number of coins Vasiliy can spent on the *i*-th day. | Print *q* integers. The *i*-th of them should be equal to the number of shops where Vasiliy will be able to buy a bottle of the drink on the *i*-th day. | [
"5\n3 10 8 6 11\n4\n1\n10\n3\n11\n"
] | [
"0\n4\n1\n5\n"
] | On the first day, Vasiliy won't be able to buy a drink in any of the shops.
On the second day, Vasiliy can buy a drink in the shops 1, 2, 3 and 4.
On the third day, Vasiliy can buy a drink only in the shop number 1.
Finally, on the last day Vasiliy can buy a drink in any shop. | 1,000 | [
{
"input": "5\n3 10 8 6 11\n4\n1\n10\n3\n11",
"output": "0\n4\n1\n5"
},
{
"input": "5\n868 987 714 168 123\n10\n424\n192\n795\n873\n117\n914\n735\n158\n631\n471",
"output": "2\n2\n3\n4\n0\n4\n3\n1\n2\n2"
},
{
"input": "3\n435 482 309\n7\n245\n241\n909\n745\n980\n29\n521",
"output": "... | 1,688,944,972 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 2 | 31 | 0 | input()
flag = 1
nums = sorted(map(int,input().split()))
num = int(input())
for i in range(num):
query = int(input())
sums =0
for j in range(5):
if query >= nums[j]:
sums = j+1
else:
break
print(sums) | Title: Interesting drink
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasiliy likes to rest after a hard work, so you may often meet him in some bar nearby. As all programmers do, he loves the famous drink "Beecola", which can be bought in *n* different shops in the city. It's known that the price of one bottle in the shop *i* is equal to *x**i* coins.
Vasiliy plans to buy his favorite drink for *q* consecutive days. He knows, that on the *i*-th day he will be able to spent *m**i* coins. Now, for each of the days he want to know in how many different shops he can buy a bottle of "Beecola".
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of shops in the city that sell Vasiliy's favourite drink.
The second line contains *n* integers *x**i* (1<=≤<=*x**i*<=≤<=100<=000) — prices of the bottles of the drink in the *i*-th shop.
The third line contains a single integer *q* (1<=≤<=*q*<=≤<=100<=000) — the number of days Vasiliy plans to buy the drink.
Then follow *q* lines each containing one integer *m**i* (1<=≤<=*m**i*<=≤<=109) — the number of coins Vasiliy can spent on the *i*-th day.
Output Specification:
Print *q* integers. The *i*-th of them should be equal to the number of shops where Vasiliy will be able to buy a bottle of the drink on the *i*-th day.
Demo Input:
['5\n3 10 8 6 11\n4\n1\n10\n3\n11\n']
Demo Output:
['0\n4\n1\n5\n']
Note:
On the first day, Vasiliy won't be able to buy a drink in any of the shops.
On the second day, Vasiliy can buy a drink in the shops 1, 2, 3 and 4.
On the third day, Vasiliy can buy a drink only in the shop number 1.
Finally, on the last day Vasiliy can buy a drink in any shop. | ```python
input()
flag = 1
nums = sorted(map(int,input().split()))
num = int(input())
for i in range(num):
query = int(input())
sums =0
for j in range(5):
if query >= nums[j]:
sums = j+1
else:
break
print(sums)
``` | -1 | |
484 | B | Maximum Value | PROGRAMMING | 2,100 | [
"binary search",
"math",
"sortings",
"two pointers"
] | null | null | You are given a sequence *a* consisting of *n* integers. Find the maximum possible value of (integer remainder of *a**i* divided by *a**j*), where 1<=≤<=*i*,<=*j*<=≤<=*n* and *a**i*<=≥<=*a**j*. | The first line contains integer *n* — the length of the sequence (1<=≤<=*n*<=≤<=2·105).
The second line contains *n* space-separated integers *a**i* (1<=≤<=*a**i*<=≤<=106). | Print the answer to the problem. | [
"3\n3 4 5\n"
] | [
"2\n"
] | none | 1,000 | [
{
"input": "3\n3 4 5",
"output": "2"
},
{
"input": "3\n1 2 4",
"output": "0"
},
{
"input": "1\n1",
"output": "0"
},
{
"input": "1\n1000000",
"output": "0"
},
{
"input": "2\n1000000 999999",
"output": "1"
},
{
"input": "12\n4 4 10 13 28 30 41 43 58 61 7... | 1,638,612,899 | 2,147,483,647 | PyPy 3-64 | TIME_LIMIT_EXCEEDED | TESTS | 5 | 1,000 | 11,264,000 | n = int(input())
a = [int(i) for i in input().split()]
a = list(reversed(sorted(a)))
mx = 0
for i in range(n):
ai = a[i]
for j in range(i + 1, n):
aj = a[j]
d = ai % aj
if d > mx:
mx = d
print(mx) | Title: Maximum Value
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a sequence *a* consisting of *n* integers. Find the maximum possible value of (integer remainder of *a**i* divided by *a**j*), where 1<=≤<=*i*,<=*j*<=≤<=*n* and *a**i*<=≥<=*a**j*.
Input Specification:
The first line contains integer *n* — the length of the sequence (1<=≤<=*n*<=≤<=2·105).
The second line contains *n* space-separated integers *a**i* (1<=≤<=*a**i*<=≤<=106).
Output Specification:
Print the answer to the problem.
Demo Input:
['3\n3 4 5\n']
Demo Output:
['2\n']
Note:
none | ```python
n = int(input())
a = [int(i) for i in input().split()]
a = list(reversed(sorted(a)))
mx = 0
for i in range(n):
ai = a[i]
for j in range(i + 1, n):
aj = a[j]
d = ai % aj
if d > mx:
mx = d
print(mx)
``` | 0 | |
680 | B | Bear and Finding Criminals | PROGRAMMING | 1,000 | [
"constructive algorithms",
"implementation"
] | null | null | There are *n* cities in Bearland, numbered 1 through *n*. Cities are arranged in one long row. The distance between cities *i* and *j* is equal to |*i*<=-<=*j*|.
Limak is a police officer. He lives in a city *a*. His job is to catch criminals. It's hard because he doesn't know in which cities criminals are. Though, he knows that there is at most one criminal in each city.
Limak is going to use a BCD (Bear Criminal Detector). The BCD will tell Limak how many criminals there are for every distance from a city *a*. After that, Limak can catch a criminal in each city for which he is sure that there must be a criminal.
You know in which cities criminals are. Count the number of criminals Limak will catch, after he uses the BCD. | The first line of the input contains two integers *n* and *a* (1<=≤<=*a*<=≤<=*n*<=≤<=100) — the number of cities and the index of city where Limak lives.
The second line contains *n* integers *t*1,<=*t*2,<=...,<=*t**n* (0<=≤<=*t**i*<=≤<=1). There are *t**i* criminals in the *i*-th city. | Print the number of criminals Limak will catch. | [
"6 3\n1 1 1 0 1 0\n",
"5 2\n0 0 0 1 0\n"
] | [
"3\n",
"1\n"
] | In the first sample, there are six cities and Limak lives in the third one (blue arrow below). Criminals are in cities marked red.
Using the BCD gives Limak the following information:
- There is one criminal at distance 0 from the third city — Limak is sure that this criminal is exactly in the third city. - There is one criminal at distance 1 from the third city — Limak doesn't know if a criminal is in the second or fourth city. - There are two criminals at distance 2 from the third city — Limak is sure that there is one criminal in the first city and one in the fifth city. - There are zero criminals for every greater distance.
So, Limak will catch criminals in cities 1, 3 and 5, that is 3 criminals in total.
In the second sample (drawing below), the BCD gives Limak the information that there is one criminal at distance 2 from Limak's city. There is only one city at distance 2 so Limak is sure where a criminal is. | 1,000 | [
{
"input": "6 3\n1 1 1 0 1 0",
"output": "3"
},
{
"input": "5 2\n0 0 0 1 0",
"output": "1"
},
{
"input": "1 1\n1",
"output": "1"
},
{
"input": "1 1\n0",
"output": "0"
},
{
"input": "9 3\n1 1 1 1 1 1 1 1 0",
"output": "8"
},
{
"input": "9 5\n1 0 1 0 1 0... | 1,681,116,322 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 24 | 62 | 0 | n, a = map(int, input().split())
t = list(map(int, input().split()))
c = sum(t)
a = a-1
for i in range(n):
if a+i < n and a-i>-1 and ((t[a+i] == 1 and t[a-i] == 0) or (t[a+i] == 0 and t[a-i] == 1)):
c -= 1
print(c) | Title: Bear and Finding Criminals
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are *n* cities in Bearland, numbered 1 through *n*. Cities are arranged in one long row. The distance between cities *i* and *j* is equal to |*i*<=-<=*j*|.
Limak is a police officer. He lives in a city *a*. His job is to catch criminals. It's hard because he doesn't know in which cities criminals are. Though, he knows that there is at most one criminal in each city.
Limak is going to use a BCD (Bear Criminal Detector). The BCD will tell Limak how many criminals there are for every distance from a city *a*. After that, Limak can catch a criminal in each city for which he is sure that there must be a criminal.
You know in which cities criminals are. Count the number of criminals Limak will catch, after he uses the BCD.
Input Specification:
The first line of the input contains two integers *n* and *a* (1<=≤<=*a*<=≤<=*n*<=≤<=100) — the number of cities and the index of city where Limak lives.
The second line contains *n* integers *t*1,<=*t*2,<=...,<=*t**n* (0<=≤<=*t**i*<=≤<=1). There are *t**i* criminals in the *i*-th city.
Output Specification:
Print the number of criminals Limak will catch.
Demo Input:
['6 3\n1 1 1 0 1 0\n', '5 2\n0 0 0 1 0\n']
Demo Output:
['3\n', '1\n']
Note:
In the first sample, there are six cities and Limak lives in the third one (blue arrow below). Criminals are in cities marked red.
Using the BCD gives Limak the following information:
- There is one criminal at distance 0 from the third city — Limak is sure that this criminal is exactly in the third city. - There is one criminal at distance 1 from the third city — Limak doesn't know if a criminal is in the second or fourth city. - There are two criminals at distance 2 from the third city — Limak is sure that there is one criminal in the first city and one in the fifth city. - There are zero criminals for every greater distance.
So, Limak will catch criminals in cities 1, 3 and 5, that is 3 criminals in total.
In the second sample (drawing below), the BCD gives Limak the information that there is one criminal at distance 2 from Limak's city. There is only one city at distance 2 so Limak is sure where a criminal is. | ```python
n, a = map(int, input().split())
t = list(map(int, input().split()))
c = sum(t)
a = a-1
for i in range(n):
if a+i < n and a-i>-1 and ((t[a+i] == 1 and t[a-i] == 0) or (t[a+i] == 0 and t[a-i] == 1)):
c -= 1
print(c)
``` | 3 | |
792 | A | New Bus Route | PROGRAMMING | 1,100 | [
"implementation",
"sortings"
] | null | null | There are *n* cities situated along the main road of Berland. Cities are represented by their coordinates — integer numbers *a*1,<=*a*2,<=...,<=*a**n*. All coordinates are pairwise distinct.
It is possible to get from one city to another only by bus. But all buses and roads are very old, so the Minister of Transport decided to build a new bus route. The Minister doesn't want to spend large amounts of money — he wants to choose two cities in such a way that the distance between them is minimal possible. The distance between two cities is equal to the absolute value of the difference between their coordinates.
It is possible that there are multiple pairs of cities with minimal possible distance, so the Minister wants to know the quantity of such pairs.
Your task is to write a program that will calculate the minimal possible distance between two pairs of cities and the quantity of pairs which have this distance. | The first line contains one integer number *n* (2<=≤<=*n*<=≤<=2·105).
The second line contains *n* integer numbers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=109<=≤<=*a**i*<=≤<=109). All numbers *a**i* are pairwise distinct. | Print two integer numbers — the minimal distance and the quantity of pairs with this distance. | [
"4\n6 -3 0 4\n",
"3\n-2 0 2\n"
] | [
"2 1\n",
"2 2\n"
] | In the first example the distance between the first city and the fourth city is |4 - 6| = 2, and it is the only pair with this distance. | 0 | [
{
"input": "4\n6 -3 0 4",
"output": "2 1"
},
{
"input": "3\n-2 0 2",
"output": "2 2"
},
{
"input": "2\n1 2",
"output": "1 1"
},
{
"input": "2\n1000000000 -1000000000",
"output": "2000000000 1"
},
{
"input": "5\n-979619606 -979619602 -979619604 -979619605 -97961960... | 1,515,258,889 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 7 | 62 | 5,632,000 | n = int(input())
a = list(map(int,input().split()))
b = list()
c = list()
for i in a:
b.append(i)
c.append(i)
ma = max(a)
del a[a.index(ma)]
mb = max(a)
mc = min(b)
del b[b.index(mc)]
md = min(b)
ans1 = min(abs(ma-mb),abs(mc-md))
ans2 = 0
for i in range(n-1):
j = i+1
while True:
if j == n:
break
if abs(c[i] - c[j]) == ans1:
ans2+=1
j += 1
print('{0} {1}'.format(ans1,ans2))
| Title: New Bus Route
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are *n* cities situated along the main road of Berland. Cities are represented by their coordinates — integer numbers *a*1,<=*a*2,<=...,<=*a**n*. All coordinates are pairwise distinct.
It is possible to get from one city to another only by bus. But all buses and roads are very old, so the Minister of Transport decided to build a new bus route. The Minister doesn't want to spend large amounts of money — he wants to choose two cities in such a way that the distance between them is minimal possible. The distance between two cities is equal to the absolute value of the difference between their coordinates.
It is possible that there are multiple pairs of cities with minimal possible distance, so the Minister wants to know the quantity of such pairs.
Your task is to write a program that will calculate the minimal possible distance between two pairs of cities and the quantity of pairs which have this distance.
Input Specification:
The first line contains one integer number *n* (2<=≤<=*n*<=≤<=2·105).
The second line contains *n* integer numbers *a*1,<=*a*2,<=...,<=*a**n* (<=-<=109<=≤<=*a**i*<=≤<=109). All numbers *a**i* are pairwise distinct.
Output Specification:
Print two integer numbers — the minimal distance and the quantity of pairs with this distance.
Demo Input:
['4\n6 -3 0 4\n', '3\n-2 0 2\n']
Demo Output:
['2 1\n', '2 2\n']
Note:
In the first example the distance between the first city and the fourth city is |4 - 6| = 2, and it is the only pair with this distance. | ```python
n = int(input())
a = list(map(int,input().split()))
b = list()
c = list()
for i in a:
b.append(i)
c.append(i)
ma = max(a)
del a[a.index(ma)]
mb = max(a)
mc = min(b)
del b[b.index(mc)]
md = min(b)
ans1 = min(abs(ma-mb),abs(mc-md))
ans2 = 0
for i in range(n-1):
j = i+1
while True:
if j == n:
break
if abs(c[i] - c[j]) == ans1:
ans2+=1
j += 1
print('{0} {1}'.format(ans1,ans2))
``` | 0 | |
140 | C | New Year Snowmen | PROGRAMMING | 1,800 | [
"binary search",
"data structures",
"greedy"
] | null | null | As meticulous Gerald sets the table and caring Alexander sends the postcards, Sergey makes snowmen. Each showman should consist of three snowballs: a big one, a medium one and a small one. Sergey's twins help him: they've already made *n* snowballs with radii equal to *r*1, *r*2, ..., *r**n*. To make a snowman, one needs any three snowballs whose radii are pairwise different. For example, the balls with radii 1, 2 and 3 can be used to make a snowman but 2, 2, 3 or 2, 2, 2 cannot. Help Sergey and his twins to determine what maximum number of snowmen they can make from those snowballs. | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of snowballs. The next line contains *n* integers — the balls' radii *r*1, *r*2, ..., *r**n* (1<=≤<=*r**i*<=≤<=109). The balls' radii can coincide. | Print on the first line a single number *k* — the maximum number of the snowmen. Next *k* lines should contain the snowmen's descriptions. The description of each snowman should consist of three space-separated numbers — the big ball's radius, the medium ball's radius and the small ball's radius. It is allowed to print the snowmen in any order. If there are several solutions, print any of them. | [
"7\n1 2 3 4 5 6 7\n",
"3\n2 2 3\n"
] | [
"2\n3 2 1\n6 5 4\n",
"0\n"
] | none | 1,500 | [
{
"input": "7\n1 2 3 4 5 6 7",
"output": "2\n7 5 3\n6 4 2"
},
{
"input": "3\n2 2 3",
"output": "0"
},
{
"input": "1\n255317",
"output": "0"
},
{
"input": "6\n1 1 2 2 3 3",
"output": "2\n3 2 1\n3 2 1"
},
{
"input": "6\n1 2 2 2 3 3",
"output": "1\n3 2 1"
},
... | 1,591,003,070 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 0 | 248 | 0 | import heapq
n = int(input())
ara = list(map(int, input().split()))
mp = {}
ans = []
pq = []
for val in ara:
mp.setdefault(val, 0)
mp[val] += 1
for k in mp:
heapq.heappush(pq, [-mp[k], k])
while len(pq) >= 3:
val = [None]*3
val[0] = heapq.heappop(pq)
val[1] = heapq.heappop(pq)
val[2] = heapq.heappop(pq)
ans.append([val[0][1], val[1][1], val[2][1]])
for i in range(3):
if val[i][0] != -1:
val[i][0] += 1
heapq.heappush(pq, val[i])
print(len(ans))
for ro in ans:
for val in ro:
print(val, end=' ')
print()
| Title: New Year Snowmen
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
As meticulous Gerald sets the table and caring Alexander sends the postcards, Sergey makes snowmen. Each showman should consist of three snowballs: a big one, a medium one and a small one. Sergey's twins help him: they've already made *n* snowballs with radii equal to *r*1, *r*2, ..., *r**n*. To make a snowman, one needs any three snowballs whose radii are pairwise different. For example, the balls with radii 1, 2 and 3 can be used to make a snowman but 2, 2, 3 or 2, 2, 2 cannot. Help Sergey and his twins to determine what maximum number of snowmen they can make from those snowballs.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the number of snowballs. The next line contains *n* integers — the balls' radii *r*1, *r*2, ..., *r**n* (1<=≤<=*r**i*<=≤<=109). The balls' radii can coincide.
Output Specification:
Print on the first line a single number *k* — the maximum number of the snowmen. Next *k* lines should contain the snowmen's descriptions. The description of each snowman should consist of three space-separated numbers — the big ball's radius, the medium ball's radius and the small ball's radius. It is allowed to print the snowmen in any order. If there are several solutions, print any of them.
Demo Input:
['7\n1 2 3 4 5 6 7\n', '3\n2 2 3\n']
Demo Output:
['2\n3 2 1\n6 5 4\n', '0\n']
Note:
none | ```python
import heapq
n = int(input())
ara = list(map(int, input().split()))
mp = {}
ans = []
pq = []
for val in ara:
mp.setdefault(val, 0)
mp[val] += 1
for k in mp:
heapq.heappush(pq, [-mp[k], k])
while len(pq) >= 3:
val = [None]*3
val[0] = heapq.heappop(pq)
val[1] = heapq.heappop(pq)
val[2] = heapq.heappop(pq)
ans.append([val[0][1], val[1][1], val[2][1]])
for i in range(3):
if val[i][0] != -1:
val[i][0] += 1
heapq.heappush(pq, val[i])
print(len(ans))
for ro in ans:
for val in ro:
print(val, end=' ')
print()
``` | 0 | |
556 | A | Case of the Zeros and Ones | PROGRAMMING | 900 | [
"greedy"
] | null | null | Andrewid the Android is a galaxy-famous detective. In his free time he likes to think about strings containing zeros and ones.
Once he thought about a string of length *n* consisting of zeroes and ones. Consider the following operation: we choose any two adjacent positions in the string, and if one them contains 0, and the other contains 1, then we are allowed to remove these two digits from the string, obtaining a string of length *n*<=-<=2 as a result.
Now Andreid thinks about what is the minimum length of the string that can remain after applying the described operation several times (possibly, zero)? Help him to calculate this number. | First line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=2·105), the length of the string that Andreid has.
The second line contains the string of length *n* consisting only from zeros and ones. | Output the minimum length of the string that may remain after applying the described operations several times. | [
"4\n1100\n",
"5\n01010\n",
"8\n11101111\n"
] | [
"0\n",
"1\n",
"6\n"
] | In the first sample test it is possible to change the string like the following: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/10df55364c21c6e8d5da31b6ab6f6294c4fc26b3.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second sample test it is possible to change the string like the following: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/19ec5dcd85f0b5cf757aa076ace72df39634de2d.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the third sample test it is possible to change the string like the following: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/dc34a159e4230375fa325555527ebc748811f188.png" style="max-width: 100.0%;max-height: 100.0%;"/>. | 250 | [
{
"input": "4\n1100",
"output": "0"
},
{
"input": "5\n01010",
"output": "1"
},
{
"input": "8\n11101111",
"output": "6"
},
{
"input": "1\n0",
"output": "1"
},
{
"input": "1\n1",
"output": "1"
},
{
"input": "2\n00",
"output": "2"
},
{
"input"... | 1,685,379,469 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 31 | 0 | n = input().split()
n = input (n)
print(n)
| Title: Case of the Zeros and Ones
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Andrewid the Android is a galaxy-famous detective. In his free time he likes to think about strings containing zeros and ones.
Once he thought about a string of length *n* consisting of zeroes and ones. Consider the following operation: we choose any two adjacent positions in the string, and if one them contains 0, and the other contains 1, then we are allowed to remove these two digits from the string, obtaining a string of length *n*<=-<=2 as a result.
Now Andreid thinks about what is the minimum length of the string that can remain after applying the described operation several times (possibly, zero)? Help him to calculate this number.
Input Specification:
First line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=2·105), the length of the string that Andreid has.
The second line contains the string of length *n* consisting only from zeros and ones.
Output Specification:
Output the minimum length of the string that may remain after applying the described operations several times.
Demo Input:
['4\n1100\n', '5\n01010\n', '8\n11101111\n']
Demo Output:
['0\n', '1\n', '6\n']
Note:
In the first sample test it is possible to change the string like the following: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/10df55364c21c6e8d5da31b6ab6f6294c4fc26b3.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the second sample test it is possible to change the string like the following: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/19ec5dcd85f0b5cf757aa076ace72df39634de2d.png" style="max-width: 100.0%;max-height: 100.0%;"/>.
In the third sample test it is possible to change the string like the following: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/dc34a159e4230375fa325555527ebc748811f188.png" style="max-width: 100.0%;max-height: 100.0%;"/>. | ```python
n = input().split()
n = input (n)
print(n)
``` | 0 | |
677 | A | Vanya and Fence | PROGRAMMING | 800 | [
"implementation"
] | null | null | Vanya and his friends are walking along the fence of height *h* and they do not want the guard to notice them. In order to achieve this the height of each of the friends should not exceed *h*. If the height of some person is greater than *h* he can bend down and then he surely won't be noticed by the guard. The height of the *i*-th person is equal to *a**i*.
Consider the width of the person walking as usual to be equal to 1, while the width of the bent person is equal to 2. Friends want to talk to each other while walking, so they would like to walk in a single row. What is the minimum width of the road, such that friends can walk in a row and remain unattended by the guard? | The first line of the input contains two integers *n* and *h* (1<=≤<=*n*<=≤<=1000, 1<=≤<=*h*<=≤<=1000) — the number of friends and the height of the fence, respectively.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=2*h*), the *i*-th of them is equal to the height of the *i*-th person. | Print a single integer — the minimum possible valid width of the road. | [
"3 7\n4 5 14\n",
"6 1\n1 1 1 1 1 1\n",
"6 5\n7 6 8 9 10 5\n"
] | [
"4\n",
"6\n",
"11\n"
] | In the first sample, only person number 3 must bend down, so the required width is equal to 1 + 1 + 2 = 4.
In the second sample, all friends are short enough and no one has to bend, so the width 1 + 1 + 1 + 1 + 1 + 1 = 6 is enough.
In the third sample, all the persons have to bend, except the last one. The required minimum width of the road is equal to 2 + 2 + 2 + 2 + 2 + 1 = 11. | 500 | [
{
"input": "3 7\n4 5 14",
"output": "4"
},
{
"input": "6 1\n1 1 1 1 1 1",
"output": "6"
},
{
"input": "6 5\n7 6 8 9 10 5",
"output": "11"
},
{
"input": "10 420\n214 614 297 675 82 740 174 23 255 15",
"output": "13"
},
{
"input": "10 561\n657 23 1096 487 785 66 481... | 1,696,880,886 | 2,147,483,647 | Python 3 | OK | TESTS | 29 | 46 | 0 | n,h = map(int,input().split())
a = list(map(int,input().split()))
a1 = list(filter(lambda x: x <= h,a))
a2 = list(filter(lambda x: x > h,a))
print(len(a1) + len(a2)*2)
| Title: Vanya and Fence
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vanya and his friends are walking along the fence of height *h* and they do not want the guard to notice them. In order to achieve this the height of each of the friends should not exceed *h*. If the height of some person is greater than *h* he can bend down and then he surely won't be noticed by the guard. The height of the *i*-th person is equal to *a**i*.
Consider the width of the person walking as usual to be equal to 1, while the width of the bent person is equal to 2. Friends want to talk to each other while walking, so they would like to walk in a single row. What is the minimum width of the road, such that friends can walk in a row and remain unattended by the guard?
Input Specification:
The first line of the input contains two integers *n* and *h* (1<=≤<=*n*<=≤<=1000, 1<=≤<=*h*<=≤<=1000) — the number of friends and the height of the fence, respectively.
The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=2*h*), the *i*-th of them is equal to the height of the *i*-th person.
Output Specification:
Print a single integer — the minimum possible valid width of the road.
Demo Input:
['3 7\n4 5 14\n', '6 1\n1 1 1 1 1 1\n', '6 5\n7 6 8 9 10 5\n']
Demo Output:
['4\n', '6\n', '11\n']
Note:
In the first sample, only person number 3 must bend down, so the required width is equal to 1 + 1 + 2 = 4.
In the second sample, all friends are short enough and no one has to bend, so the width 1 + 1 + 1 + 1 + 1 + 1 = 6 is enough.
In the third sample, all the persons have to bend, except the last one. The required minimum width of the road is equal to 2 + 2 + 2 + 2 + 2 + 1 = 11. | ```python
n,h = map(int,input().split())
a = list(map(int,input().split()))
a1 = list(filter(lambda x: x <= h,a))
a2 = list(filter(lambda x: x > h,a))
print(len(a1) + len(a2)*2)
``` | 3 | |
178 | A3 | Educational Game | PROGRAMMING | 1,100 | [
"greedy"
] | null | null | The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of *n* non-negative integers *a**i* numbered from 1 to *n*. The goal of the game is to make numbers *a*1,<=*a*2,<=...,<=*a**k* (i.e. some prefix of the sequence) equal to zero for some fixed *k* (*k*<=<<=*n*), and this should be done in the smallest possible number of moves.
One move is choosing an integer *i* (1<=≤<=*i*<=≤<=*n*) such that *a**i*<=><=0 and an integer *t* (*t*<=≥<=0) such that *i*<=+<=2*t*<=≤<=*n*. After the values of *i* and *t* have been selected, the value of *a**i* is decreased by 1, and the value of *a**i*<=+<=2*t* is increased by 1. For example, let *n*<==<=4 and *a*<==<=(1,<=0,<=1,<=2), then it is possible to make move *i*<==<=3, *t*<==<=0 and get *a*<==<=(1,<=0,<=0,<=3) or to make move *i*<==<=1, *t*<==<=1 and get *a*<==<=(0,<=0,<=2,<=2) (the only possible other move is *i*<==<=1, *t*<==<=0).
You are given *n* and the initial sequence *a**i*. The task is to calculate the minimum number of moves needed to make the first *k* elements of the original sequence equal to zero for each possible *k* (1<=≤<=*k*<=<<=*n*). | The first input line contains a single integer *n*. The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=104), separated by single spaces.
The input limitations for getting 20 points are:
- 1<=≤<=*n*<=≤<=300
The input limitations for getting 50 points are:
- 1<=≤<=*n*<=≤<=2000
The input limitations for getting 100 points are:
- 1<=≤<=*n*<=≤<=105 | Print exactly *n*<=-<=1 lines: the *k*-th output line must contain the minimum number of moves needed to make the first *k* elements of the original sequence *a**i* equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier. | [
"4\n1 0 1 2\n",
"8\n1 2 3 4 5 6 7 8\n"
] | [
"1\n1\n3\n",
"1\n3\n6\n10\n16\n24\n40\n"
] | none | 50 | [
{
"input": "4\n1 0 1 2",
"output": "1\n1\n3"
},
{
"input": "8\n1 2 3 4 5 6 7 8",
"output": "1\n3\n6\n10\n16\n24\n40"
},
{
"input": "5\n4 1 4 7 6",
"output": "4\n5\n9\n17"
},
{
"input": "9\n13 13 7 11 3 9 3 5 5",
"output": "13\n26\n33\n44\n47\n69\n79\n117"
},
{
"in... | 1,681,955,591 | 2,147,483,647 | Python 3 | OK | TESTS3 | 33 | 1,840 | 6,451,200 | n = int(input())
l = list(map(int,input().split()))
sum = 0
import math
def check(n,i):
for j in range(int(math.log2(n)),-1,-1):
k = pow(2,j)+ i
if k <= n-1:
# print(j)
# print("go")
return k
one = check(n,0)
l[one]= l[0]+ l[one]
print(l[0])
for i in range(1,n-1):
temp = check(n,i)
l[temp]= l[i]+ l[temp]
l[i] = l[i-1] +l[i]
print(l[i])
| Title: Educational Game
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Smart Beaver from ABBYY began to develop a new educational game for children. The rules of the game are fairly simple and are described below.
The playing field is a sequence of *n* non-negative integers *a**i* numbered from 1 to *n*. The goal of the game is to make numbers *a*1,<=*a*2,<=...,<=*a**k* (i.e. some prefix of the sequence) equal to zero for some fixed *k* (*k*<=<<=*n*), and this should be done in the smallest possible number of moves.
One move is choosing an integer *i* (1<=≤<=*i*<=≤<=*n*) such that *a**i*<=><=0 and an integer *t* (*t*<=≥<=0) such that *i*<=+<=2*t*<=≤<=*n*. After the values of *i* and *t* have been selected, the value of *a**i* is decreased by 1, and the value of *a**i*<=+<=2*t* is increased by 1. For example, let *n*<==<=4 and *a*<==<=(1,<=0,<=1,<=2), then it is possible to make move *i*<==<=3, *t*<==<=0 and get *a*<==<=(1,<=0,<=0,<=3) or to make move *i*<==<=1, *t*<==<=1 and get *a*<==<=(0,<=0,<=2,<=2) (the only possible other move is *i*<==<=1, *t*<==<=0).
You are given *n* and the initial sequence *a**i*. The task is to calculate the minimum number of moves needed to make the first *k* elements of the original sequence equal to zero for each possible *k* (1<=≤<=*k*<=<<=*n*).
Input Specification:
The first input line contains a single integer *n*. The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=104), separated by single spaces.
The input limitations for getting 20 points are:
- 1<=≤<=*n*<=≤<=300
The input limitations for getting 50 points are:
- 1<=≤<=*n*<=≤<=2000
The input limitations for getting 100 points are:
- 1<=≤<=*n*<=≤<=105
Output Specification:
Print exactly *n*<=-<=1 lines: the *k*-th output line must contain the minimum number of moves needed to make the first *k* elements of the original sequence *a**i* equal to zero.
Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams, or the %I64d specifier.
Demo Input:
['4\n1 0 1 2\n', '8\n1 2 3 4 5 6 7 8\n']
Demo Output:
['1\n1\n3\n', '1\n3\n6\n10\n16\n24\n40\n']
Note:
none | ```python
n = int(input())
l = list(map(int,input().split()))
sum = 0
import math
def check(n,i):
for j in range(int(math.log2(n)),-1,-1):
k = pow(2,j)+ i
if k <= n-1:
# print(j)
# print("go")
return k
one = check(n,0)
l[one]= l[0]+ l[one]
print(l[0])
for i in range(1,n-1):
temp = check(n,i)
l[temp]= l[i]+ l[temp]
l[i] = l[i-1] +l[i]
print(l[i])
``` | 3 | |
294 | A | Shaass and Oskols | PROGRAMMING | 800 | [
"implementation",
"math"
] | null | null | Shaass has decided to hunt some birds. There are *n* horizontal electricity wires aligned parallel to each other. Wires are numbered 1 to *n* from top to bottom. On each wire there are some oskols sitting next to each other. Oskol is the name of a delicious kind of birds in Shaass's territory. Supposed there are *a**i* oskols sitting on the *i*-th wire.
Sometimes Shaass shots one of the birds and the bird dies (suppose that this bird sat at the *i*-th wire). Consequently all the birds on the *i*-th wire to the left of the dead bird get scared and jump up on the wire number *i*<=-<=1, if there exists no upper wire they fly away. Also all the birds to the right of the dead bird jump down on wire number *i*<=+<=1, if there exists no such wire they fly away.
Shaass has shot *m* birds. You're given the initial number of birds on each wire, tell him how many birds are sitting on each wire after the shots. | The first line of the input contains an integer *n*, (1<=≤<=*n*<=≤<=100). The next line contains a list of space-separated integers *a*1,<=*a*2,<=...,<=*a**n*, (0<=≤<=*a**i*<=≤<=100).
The third line contains an integer *m*, (0<=≤<=*m*<=≤<=100). Each of the next *m* lines contains two integers *x**i* and *y**i*. The integers mean that for the *i*-th time Shaass shoot the *y**i*-th (from left) bird on the *x**i*-th wire, (1<=≤<=*x**i*<=≤<=*n*,<=1<=≤<=*y**i*). It's guaranteed there will be at least *y**i* birds on the *x**i*-th wire at that moment. | On the *i*-th line of the output print the number of birds on the *i*-th wire. | [
"5\n10 10 10 10 10\n5\n2 5\n3 13\n2 12\n1 13\n4 6\n",
"3\n2 4 1\n1\n2 2\n"
] | [
"0\n12\n5\n0\n16\n",
"3\n0\n3\n"
] | none | 500 | [
{
"input": "5\n10 10 10 10 10\n5\n2 5\n3 13\n2 12\n1 13\n4 6",
"output": "0\n12\n5\n0\n16"
},
{
"input": "3\n2 4 1\n1\n2 2",
"output": "3\n0\n3"
},
{
"input": "5\n58 51 45 27 48\n5\n4 9\n5 15\n4 5\n5 8\n1 43",
"output": "0\n66\n57\n7\n0"
},
{
"input": "10\n48 53 10 28 91 56 8... | 1,611,956,260 | 2,147,483,647 | Python 3 | OK | TESTS | 31 | 154 | 307,200 | n1=int(input())
w=list(map(int,input().split()))
n2,b=int(input()),[]
for i in range(n2) :
b.append(list(map(int,input().split())))
if b[i][0]-2>-1 : w[b[i][0]-2]+=b[i][1]-1
if b[i][0]<n1 : w[b[i][0]]+=w[b[i][0]-1]-b[i][1]
w[b[i][0]-1]=0
for i in w : print(i) | Title: Shaass and Oskols
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Shaass has decided to hunt some birds. There are *n* horizontal electricity wires aligned parallel to each other. Wires are numbered 1 to *n* from top to bottom. On each wire there are some oskols sitting next to each other. Oskol is the name of a delicious kind of birds in Shaass's territory. Supposed there are *a**i* oskols sitting on the *i*-th wire.
Sometimes Shaass shots one of the birds and the bird dies (suppose that this bird sat at the *i*-th wire). Consequently all the birds on the *i*-th wire to the left of the dead bird get scared and jump up on the wire number *i*<=-<=1, if there exists no upper wire they fly away. Also all the birds to the right of the dead bird jump down on wire number *i*<=+<=1, if there exists no such wire they fly away.
Shaass has shot *m* birds. You're given the initial number of birds on each wire, tell him how many birds are sitting on each wire after the shots.
Input Specification:
The first line of the input contains an integer *n*, (1<=≤<=*n*<=≤<=100). The next line contains a list of space-separated integers *a*1,<=*a*2,<=...,<=*a**n*, (0<=≤<=*a**i*<=≤<=100).
The third line contains an integer *m*, (0<=≤<=*m*<=≤<=100). Each of the next *m* lines contains two integers *x**i* and *y**i*. The integers mean that for the *i*-th time Shaass shoot the *y**i*-th (from left) bird on the *x**i*-th wire, (1<=≤<=*x**i*<=≤<=*n*,<=1<=≤<=*y**i*). It's guaranteed there will be at least *y**i* birds on the *x**i*-th wire at that moment.
Output Specification:
On the *i*-th line of the output print the number of birds on the *i*-th wire.
Demo Input:
['5\n10 10 10 10 10\n5\n2 5\n3 13\n2 12\n1 13\n4 6\n', '3\n2 4 1\n1\n2 2\n']
Demo Output:
['0\n12\n5\n0\n16\n', '3\n0\n3\n']
Note:
none | ```python
n1=int(input())
w=list(map(int,input().split()))
n2,b=int(input()),[]
for i in range(n2) :
b.append(list(map(int,input().split())))
if b[i][0]-2>-1 : w[b[i][0]-2]+=b[i][1]-1
if b[i][0]<n1 : w[b[i][0]]+=w[b[i][0]-1]-b[i][1]
w[b[i][0]-1]=0
for i in w : print(i)
``` | 3 | |
76 | E | Points | PROGRAMMING | 1,700 | [
"implementation",
"math"
] | E. Points | 1 | 256 | You are given *N* points on a plane. Write a program which will find the sum of squares of distances between all pairs of points. | The first line of input contains one integer number *N* (1<=≤<=*N*<=≤<=100<=000) — the number of points. Each of the following *N* lines contain two integer numbers *X* and *Y* (<=-<=10<=000<=≤<=*X*,<=*Y*<=≤<=10<=000) — the coordinates of points. Two or more points may coincide. | The only line of output should contain the required sum of squares of distances between all pairs of points. | [
"4\n1 1\n-1 -1\n1 -1\n-1 1\n"
] | [
"32\n"
] | none | 0 | [
{
"input": "4\n1 1\n-1 -1\n1 -1\n-1 1",
"output": "32"
},
{
"input": "1\n6 3",
"output": "0"
},
{
"input": "30\n-7 -12\n-2 5\n14 8\n9 17\n15 -18\n20 6\n20 8\n-13 12\n-4 -20\n-11 -16\n-6 16\n1 -9\n5 -12\n13 -17\n11 5\n8 -9\n-13 5\n19 -13\n-19 -8\n-14 10\n10 3\n-16 -8\n-17 16\n-14 -15\n5 1... | 1,660,061,167 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 92 | 0 | n = int(input())
l = list(zip(*(map(int, input().split()) for i in range(n))))
ssq = sum(x**2 for t in l for x in t)
sqs = sum(sum(t)**2 for t in l)
print(n * (ssq - sqs)) | Title: Points
Time Limit: 1 seconds
Memory Limit: 256 megabytes
Problem Description:
You are given *N* points on a plane. Write a program which will find the sum of squares of distances between all pairs of points.
Input Specification:
The first line of input contains one integer number *N* (1<=≤<=*N*<=≤<=100<=000) — the number of points. Each of the following *N* lines contain two integer numbers *X* and *Y* (<=-<=10<=000<=≤<=*X*,<=*Y*<=≤<=10<=000) — the coordinates of points. Two or more points may coincide.
Output Specification:
The only line of output should contain the required sum of squares of distances between all pairs of points.
Demo Input:
['4\n1 1\n-1 -1\n1 -1\n-1 1\n']
Demo Output:
['32\n']
Note:
none | ```python
n = int(input())
l = list(zip(*(map(int, input().split()) for i in range(n))))
ssq = sum(x**2 for t in l for x in t)
sqs = sum(sum(t)**2 for t in l)
print(n * (ssq - sqs))
``` | 0 |
216 | A | Tiling with Hexagons | PROGRAMMING | 1,200 | [
"implementation",
"math"
] | null | null | Several ages ago Berland was a kingdom. The King of Berland adored math. That's why, when he first visited one of his many palaces, he first of all paid attention to the floor in one hall. The floor was tiled with hexagonal tiles.
The hall also turned out hexagonal in its shape. The King walked along the perimeter of the hall and concluded that each of the six sides has *a*, *b*, *c*, *a*, *b* and *c* adjacent tiles, correspondingly.
To better visualize the situation, look at the picture showing a similar hexagon for *a*<==<=2, *b*<==<=3 and *c*<==<=4.
According to the legend, as the King of Berland obtained the values *a*, *b* and *c*, he almost immediately calculated the total number of tiles on the hall floor. Can you do the same? | The first line contains three integers: *a*, *b* and *c* (2<=≤<=*a*,<=*b*,<=*c*<=≤<=1000). | Print a single number — the total number of tiles on the hall floor. | [
"2 3 4\n"
] | [
"18"
] | none | 500 | [
{
"input": "2 3 4",
"output": "18"
},
{
"input": "2 2 2",
"output": "7"
},
{
"input": "7 8 13",
"output": "224"
},
{
"input": "14 7 75",
"output": "1578"
},
{
"input": "201 108 304",
"output": "115032"
},
{
"input": "999 998 996",
"output": "298302... | 1,614,191,834 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 2 | 154 | 0 | a, b, c = [int(i) for i in input().split()]
perimeter = 2*(a+b+c-3) + (1 if (a == b == c == 2) else 0)
# предполагаем a = b = c = 2
by_b_inc = (b-2)*(c-1)
# теперь b = b!
by_c_inc = (c-2)*(b-1)
# теперь b = b, c = c!
by_a_inc = (a-2)*(b+c-2)
print(perimeter + by_b_inc + by_b_inc + by_a_inc) | Title: Tiling with Hexagons
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Several ages ago Berland was a kingdom. The King of Berland adored math. That's why, when he first visited one of his many palaces, he first of all paid attention to the floor in one hall. The floor was tiled with hexagonal tiles.
The hall also turned out hexagonal in its shape. The King walked along the perimeter of the hall and concluded that each of the six sides has *a*, *b*, *c*, *a*, *b* and *c* adjacent tiles, correspondingly.
To better visualize the situation, look at the picture showing a similar hexagon for *a*<==<=2, *b*<==<=3 and *c*<==<=4.
According to the legend, as the King of Berland obtained the values *a*, *b* and *c*, he almost immediately calculated the total number of tiles on the hall floor. Can you do the same?
Input Specification:
The first line contains three integers: *a*, *b* and *c* (2<=≤<=*a*,<=*b*,<=*c*<=≤<=1000).
Output Specification:
Print a single number — the total number of tiles on the hall floor.
Demo Input:
['2 3 4\n']
Demo Output:
['18']
Note:
none | ```python
a, b, c = [int(i) for i in input().split()]
perimeter = 2*(a+b+c-3) + (1 if (a == b == c == 2) else 0)
# предполагаем a = b = c = 2
by_b_inc = (b-2)*(c-1)
# теперь b = b!
by_c_inc = (c-2)*(b-1)
# теперь b = b, c = c!
by_a_inc = (a-2)*(b+c-2)
print(perimeter + by_b_inc + by_b_inc + by_a_inc)
``` | 0 | |
733 | B | Parade | PROGRAMMING | 1,100 | [
"math"
] | null | null | Very soon there will be a parade of victory over alien invaders in Berland. Unfortunately, all soldiers died in the war and now the army consists of entirely new recruits, many of whom do not even know from which leg they should begin to march. The civilian population also poorly understands from which leg recruits begin to march, so it is only important how many soldiers march in step.
There will be *n* columns participating in the parade, the *i*-th column consists of *l**i* soldiers, who start to march from left leg, and *r**i* soldiers, who start to march from right leg.
The beauty of the parade is calculated by the following formula: if *L* is the total number of soldiers on the parade who start to march from the left leg, and *R* is the total number of soldiers on the parade who start to march from the right leg, so the beauty will equal |*L*<=-<=*R*|.
No more than once you can choose one column and tell all the soldiers in this column to switch starting leg, i.e. everyone in this columns who starts the march from left leg will now start it from right leg, and vice versa. Formally, you can pick no more than one index *i* and swap values *l**i* and *r**i*.
Find the index of the column, such that switching the starting leg for soldiers in it will maximize the the beauty of the parade, or determine, that no such operation can increase the current beauty. | The first line contains single integer *n* (1<=≤<=*n*<=≤<=105) — the number of columns.
The next *n* lines contain the pairs of integers *l**i* and *r**i* (1<=≤<=*l**i*,<=*r**i*<=≤<=500) — the number of soldiers in the *i*-th column which start to march from the left or the right leg respectively. | Print single integer *k* — the number of the column in which soldiers need to change the leg from which they start to march, or 0 if the maximum beauty is already reached.
Consider that columns are numbered from 1 to *n* in the order they are given in the input data.
If there are several answers, print any of them. | [
"3\n5 6\n8 9\n10 3\n",
"2\n6 5\n5 6\n",
"6\n5 9\n1 3\n4 8\n4 5\n23 54\n12 32\n"
] | [
"3\n",
"1\n",
"0\n"
] | In the first example if you don't give the order to change the leg, the number of soldiers, who start to march from the left leg, would equal 5 + 8 + 10 = 23, and from the right leg — 6 + 9 + 3 = 18. In this case the beauty of the parade will equal |23 - 18| = 5.
If you give the order to change the leg to the third column, so the number of soldiers, who march from the left leg, will equal 5 + 8 + 3 = 16, and who march from the right leg — 6 + 9 + 10 = 25. In this case the beauty equals |16 - 25| = 9.
It is impossible to reach greater beauty by giving another orders. Thus, the maximum beauty that can be achieved is 9. | 1,000 | [
{
"input": "3\n5 6\n8 9\n10 3",
"output": "3"
},
{
"input": "2\n6 5\n5 6",
"output": "1"
},
{
"input": "6\n5 9\n1 3\n4 8\n4 5\n23 54\n12 32",
"output": "0"
},
{
"input": "2\n500 499\n500 500",
"output": "0"
},
{
"input": "1\n139 252",
"output": "0"
},
{
... | 1,560,766,700 | 2,147,483,647 | Python 3 | OK | TESTS | 40 | 483 | 7,987,200 | n=int(input())
l=[]
for i in range (n):
a,b=map(int,input().split())
l.append([a,b])
s1=0
s2=0
j=-1
for i in range(n):
s1=s1+l[i][0]
s2=s2+l[i][1]
p=abs(s1-s2)
for i in range(n):
s3=s1-l[i][0]+l[i][1]
s4=s2+l[i][0]-l[i][1]
q=abs(s3-s4)
if q>p:
j=i
p=q
print(j+1) | Title: Parade
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Very soon there will be a parade of victory over alien invaders in Berland. Unfortunately, all soldiers died in the war and now the army consists of entirely new recruits, many of whom do not even know from which leg they should begin to march. The civilian population also poorly understands from which leg recruits begin to march, so it is only important how many soldiers march in step.
There will be *n* columns participating in the parade, the *i*-th column consists of *l**i* soldiers, who start to march from left leg, and *r**i* soldiers, who start to march from right leg.
The beauty of the parade is calculated by the following formula: if *L* is the total number of soldiers on the parade who start to march from the left leg, and *R* is the total number of soldiers on the parade who start to march from the right leg, so the beauty will equal |*L*<=-<=*R*|.
No more than once you can choose one column and tell all the soldiers in this column to switch starting leg, i.e. everyone in this columns who starts the march from left leg will now start it from right leg, and vice versa. Formally, you can pick no more than one index *i* and swap values *l**i* and *r**i*.
Find the index of the column, such that switching the starting leg for soldiers in it will maximize the the beauty of the parade, or determine, that no such operation can increase the current beauty.
Input Specification:
The first line contains single integer *n* (1<=≤<=*n*<=≤<=105) — the number of columns.
The next *n* lines contain the pairs of integers *l**i* and *r**i* (1<=≤<=*l**i*,<=*r**i*<=≤<=500) — the number of soldiers in the *i*-th column which start to march from the left or the right leg respectively.
Output Specification:
Print single integer *k* — the number of the column in which soldiers need to change the leg from which they start to march, or 0 if the maximum beauty is already reached.
Consider that columns are numbered from 1 to *n* in the order they are given in the input data.
If there are several answers, print any of them.
Demo Input:
['3\n5 6\n8 9\n10 3\n', '2\n6 5\n5 6\n', '6\n5 9\n1 3\n4 8\n4 5\n23 54\n12 32\n']
Demo Output:
['3\n', '1\n', '0\n']
Note:
In the first example if you don't give the order to change the leg, the number of soldiers, who start to march from the left leg, would equal 5 + 8 + 10 = 23, and from the right leg — 6 + 9 + 3 = 18. In this case the beauty of the parade will equal |23 - 18| = 5.
If you give the order to change the leg to the third column, so the number of soldiers, who march from the left leg, will equal 5 + 8 + 3 = 16, and who march from the right leg — 6 + 9 + 10 = 25. In this case the beauty equals |16 - 25| = 9.
It is impossible to reach greater beauty by giving another orders. Thus, the maximum beauty that can be achieved is 9. | ```python
n=int(input())
l=[]
for i in range (n):
a,b=map(int,input().split())
l.append([a,b])
s1=0
s2=0
j=-1
for i in range(n):
s1=s1+l[i][0]
s2=s2+l[i][1]
p=abs(s1-s2)
for i in range(n):
s3=s1-l[i][0]+l[i][1]
s4=s2+l[i][0]-l[i][1]
q=abs(s3-s4)
if q>p:
j=i
p=q
print(j+1)
``` | 3 | |
230 | A | Dragons | PROGRAMMING | 1,000 | [
"greedy",
"sortings"
] | null | null | Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all *n* dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals *s*.
If Kirito starts duelling with the *i*-th (1<=≤<=*i*<=≤<=*n*) dragon and Kirito's strength is not greater than the dragon's strength *x**i*, then Kirito loses the duel and dies. But if Kirito's strength is greater than the dragon's strength, then he defeats the dragon and gets a bonus strength increase by *y**i*.
Kirito can fight the dragons in any order. Determine whether he can move on to the next level of the game, that is, defeat all dragons without a single loss. | The first line contains two space-separated integers *s* and *n* (1<=≤<=*s*<=≤<=104, 1<=≤<=*n*<=≤<=103). Then *n* lines follow: the *i*-th line contains space-separated integers *x**i* and *y**i* (1<=≤<=*x**i*<=≤<=104, 0<=≤<=*y**i*<=≤<=104) — the *i*-th dragon's strength and the bonus for defeating it. | On a single line print "YES" (without the quotes), if Kirito can move on to the next level and print "NO" (without the quotes), if he can't. | [
"2 2\n1 99\n100 0\n",
"10 1\n100 100\n"
] | [
"YES\n",
"NO\n"
] | In the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to 2 + 99 = 101. Now he can defeat the second dragon and move on to the next level.
In the second sample Kirito's strength is too small to defeat the only dragon and win. | 500 | [
{
"input": "2 2\n1 99\n100 0",
"output": "YES"
},
{
"input": "10 1\n100 100",
"output": "NO"
},
{
"input": "123 2\n78 10\n130 0",
"output": "YES"
},
{
"input": "999 2\n1010 10\n67 89",
"output": "YES"
},
{
"input": "2 5\n5 1\n2 1\n3 1\n1 1\n4 1",
"output": "YE... | 1,697,346,143 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 92 | 0 | import math
def deezdragons(s,alist,blist):
for i in range(len(alist)):
if s<alist[0]:
return "NO"
else:
if s+sum(blist[:i+1])<alist[i]:
return "NO"
return "YES"
s=input()
alist=[int(d) for d in s.split()]
flist=[]
glist=[]
for j in range(alist[1]):
x=input()
hlist=[int(c) for c in x.split()]
flist.append(hlist[0])
glist.append(hlist[1])
result=deezdragons(alist[0],flist,glist)
print(result) | Title: Dragons
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Kirito is stuck on a level of the MMORPG he is playing now. To move on in the game, he's got to defeat all *n* dragons that live on this level. Kirito and the dragons have strength, which is represented by an integer. In the duel between two opponents the duel's outcome is determined by their strength. Initially, Kirito's strength equals *s*.
If Kirito starts duelling with the *i*-th (1<=≤<=*i*<=≤<=*n*) dragon and Kirito's strength is not greater than the dragon's strength *x**i*, then Kirito loses the duel and dies. But if Kirito's strength is greater than the dragon's strength, then he defeats the dragon and gets a bonus strength increase by *y**i*.
Kirito can fight the dragons in any order. Determine whether he can move on to the next level of the game, that is, defeat all dragons without a single loss.
Input Specification:
The first line contains two space-separated integers *s* and *n* (1<=≤<=*s*<=≤<=104, 1<=≤<=*n*<=≤<=103). Then *n* lines follow: the *i*-th line contains space-separated integers *x**i* and *y**i* (1<=≤<=*x**i*<=≤<=104, 0<=≤<=*y**i*<=≤<=104) — the *i*-th dragon's strength and the bonus for defeating it.
Output Specification:
On a single line print "YES" (without the quotes), if Kirito can move on to the next level and print "NO" (without the quotes), if he can't.
Demo Input:
['2 2\n1 99\n100 0\n', '10 1\n100 100\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first sample Kirito's strength initially equals 2. As the first dragon's strength is less than 2, Kirito can fight it and defeat it. After that he gets the bonus and his strength increases to 2 + 99 = 101. Now he can defeat the second dragon and move on to the next level.
In the second sample Kirito's strength is too small to defeat the only dragon and win. | ```python
import math
def deezdragons(s,alist,blist):
for i in range(len(alist)):
if s<alist[0]:
return "NO"
else:
if s+sum(blist[:i+1])<alist[i]:
return "NO"
return "YES"
s=input()
alist=[int(d) for d in s.split()]
flist=[]
glist=[]
for j in range(alist[1]):
x=input()
hlist=[int(c) for c in x.split()]
flist.append(hlist[0])
glist.append(hlist[1])
result=deezdragons(alist[0],flist,glist)
print(result)
``` | 0 | |
501 | B | Misha and Changing Handles | PROGRAMMING | 1,100 | [
"data structures",
"dsu",
"strings"
] | null | null | Misha hacked the Codeforces site. Then he decided to let all the users change their handles. A user can now change his handle any number of times. But each new handle must not be equal to any handle that is already used or that was used at some point.
Misha has a list of handle change requests. After completing the requests he wants to understand the relation between the original and the new handles of the users. Help him to do that. | The first line contains integer *q* (1<=≤<=*q*<=≤<=1000), the number of handle change requests.
Next *q* lines contain the descriptions of the requests, one per line.
Each query consists of two non-empty strings *old* and *new*, separated by a space. The strings consist of lowercase and uppercase Latin letters and digits. Strings *old* and *new* are distinct. The lengths of the strings do not exceed 20.
The requests are given chronologically. In other words, by the moment of a query there is a single person with handle *old*, and handle *new* is not used and has not been used by anyone. | In the first line output the integer *n* — the number of users that changed their handles at least once.
In the next *n* lines print the mapping between the old and the new handles of the users. Each of them must contain two strings, *old* and *new*, separated by a space, meaning that before the user had handle *old*, and after all the requests are completed, his handle is *new*. You may output lines in any order.
Each user who changes the handle must occur exactly once in this description. | [
"5\nMisha ILoveCodeforces\nVasya Petrov\nPetrov VasyaPetrov123\nILoveCodeforces MikeMirzayanov\nPetya Ivanov\n"
] | [
"3\nPetya Ivanov\nMisha MikeMirzayanov\nVasya VasyaPetrov123\n"
] | none | 500 | [
{
"input": "5\nMisha ILoveCodeforces\nVasya Petrov\nPetrov VasyaPetrov123\nILoveCodeforces MikeMirzayanov\nPetya Ivanov",
"output": "3\nPetya Ivanov\nMisha MikeMirzayanov\nVasya VasyaPetrov123"
},
{
"input": "1\nMisha Vasya",
"output": "1\nMisha Vasya"
},
{
"input": "10\na b\nb c\nc d\nd... | 1,612,563,693 | 2,147,483,647 | Python 3 | COMPILATION_ERROR | TESTS | 0 | 0 | 0 | # No Collaboration
inp = input()
prev_dict = {}
for _ in range(inp):
oldString, newString = inp().split(" ")
if oldString is not in prev:
prev_dict[newString] = oldString
else:
prev_dict[newString] = prev_dict[oldString]
del prev_dict[old]
print(prev_dict)
for i in prev_dict:
print(prev_dict[i], i)
| Title: Misha and Changing Handles
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Misha hacked the Codeforces site. Then he decided to let all the users change their handles. A user can now change his handle any number of times. But each new handle must not be equal to any handle that is already used or that was used at some point.
Misha has a list of handle change requests. After completing the requests he wants to understand the relation between the original and the new handles of the users. Help him to do that.
Input Specification:
The first line contains integer *q* (1<=≤<=*q*<=≤<=1000), the number of handle change requests.
Next *q* lines contain the descriptions of the requests, one per line.
Each query consists of two non-empty strings *old* and *new*, separated by a space. The strings consist of lowercase and uppercase Latin letters and digits. Strings *old* and *new* are distinct. The lengths of the strings do not exceed 20.
The requests are given chronologically. In other words, by the moment of a query there is a single person with handle *old*, and handle *new* is not used and has not been used by anyone.
Output Specification:
In the first line output the integer *n* — the number of users that changed their handles at least once.
In the next *n* lines print the mapping between the old and the new handles of the users. Each of them must contain two strings, *old* and *new*, separated by a space, meaning that before the user had handle *old*, and after all the requests are completed, his handle is *new*. You may output lines in any order.
Each user who changes the handle must occur exactly once in this description.
Demo Input:
['5\nMisha ILoveCodeforces\nVasya Petrov\nPetrov VasyaPetrov123\nILoveCodeforces MikeMirzayanov\nPetya Ivanov\n']
Demo Output:
['3\nPetya Ivanov\nMisha MikeMirzayanov\nVasya VasyaPetrov123\n']
Note:
none | ```python
# No Collaboration
inp = input()
prev_dict = {}
for _ in range(inp):
oldString, newString = inp().split(" ")
if oldString is not in prev:
prev_dict[newString] = oldString
else:
prev_dict[newString] = prev_dict[oldString]
del prev_dict[old]
print(prev_dict)
for i in prev_dict:
print(prev_dict[i], i)
``` | -1 | |
121 | A | Lucky Sum | PROGRAMMING | 1,100 | [
"implementation"
] | null | null | Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Let *next*(*x*) be the minimum lucky number which is larger than or equals *x*. Petya is interested what is the value of the expression *next*(*l*)<=+<=*next*(*l*<=+<=1)<=+<=...<=+<=*next*(*r*<=-<=1)<=+<=*next*(*r*). Help him solve this problem. | The single line contains two integers *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=109) — the left and right interval limits. | In the single line print the only number — the sum *next*(*l*)<=+<=*next*(*l*<=+<=1)<=+<=...<=+<=*next*(*r*<=-<=1)<=+<=*next*(*r*).
Please do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specificator. | [
"2 7\n",
"7 7\n"
] | [
"33\n",
"7\n"
] | In the first sample: *next*(2) + *next*(3) + *next*(4) + *next*(5) + *next*(6) + *next*(7) = 4 + 4 + 4 + 7 + 7 + 7 = 33
In the second sample: *next*(7) = 7 | 500 | [
{
"input": "2 7",
"output": "33"
},
{
"input": "7 7",
"output": "7"
},
{
"input": "1 9",
"output": "125"
},
{
"input": "4 7",
"output": "25"
},
{
"input": "12 47",
"output": "1593"
},
{
"input": "6 77",
"output": "4012"
},
{
"input": "1 100... | 1,608,709,375 | 2,147,483,647 | PyPy 3 | OK | TESTS | 42 | 171 | 3,072,000 | from sys import stdin as sin
def aint():return int(sin.readline())
def amap():return map(int,sin.readline().split())
def alist():return list(map(int,sin.readline().split()))
def astr():return str(sin.readline().split())
l,r = amap()
d=[4,7]
for i in range(9):
f=[]
for j in d:
f.append(int("4"+str(j)))
f.append(int("7"+str(j)))
if len("4"+str(j)) == 10:
break
d+=f
d=set(d)
d=list(d)
d.sort()
# print(d[0:15])
ans=0
p=l
for i in d:
if i>=p and i<=r:
ans+=(i-p+1)*i
# print(ans)
p=i+1
elif i>=r:
ans+=(r-p+1)*i
# print(ans)
break
print(ans)
| Title: Lucky Sum
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Let *next*(*x*) be the minimum lucky number which is larger than or equals *x*. Petya is interested what is the value of the expression *next*(*l*)<=+<=*next*(*l*<=+<=1)<=+<=...<=+<=*next*(*r*<=-<=1)<=+<=*next*(*r*). Help him solve this problem.
Input Specification:
The single line contains two integers *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=109) — the left and right interval limits.
Output Specification:
In the single line print the only number — the sum *next*(*l*)<=+<=*next*(*l*<=+<=1)<=+<=...<=+<=*next*(*r*<=-<=1)<=+<=*next*(*r*).
Please do not use the %lld specificator to read or write 64-bit integers in C++. It is preferred to use the cin, cout streams or the %I64d specificator.
Demo Input:
['2 7\n', '7 7\n']
Demo Output:
['33\n', '7\n']
Note:
In the first sample: *next*(2) + *next*(3) + *next*(4) + *next*(5) + *next*(6) + *next*(7) = 4 + 4 + 4 + 7 + 7 + 7 = 33
In the second sample: *next*(7) = 7 | ```python
from sys import stdin as sin
def aint():return int(sin.readline())
def amap():return map(int,sin.readline().split())
def alist():return list(map(int,sin.readline().split()))
def astr():return str(sin.readline().split())
l,r = amap()
d=[4,7]
for i in range(9):
f=[]
for j in d:
f.append(int("4"+str(j)))
f.append(int("7"+str(j)))
if len("4"+str(j)) == 10:
break
d+=f
d=set(d)
d=list(d)
d.sort()
# print(d[0:15])
ans=0
p=l
for i in d:
if i>=p and i<=r:
ans+=(i-p+1)*i
# print(ans)
p=i+1
elif i>=r:
ans+=(r-p+1)*i
# print(ans)
break
print(ans)
``` | 3 | |
798 | A | Mike and palindrome | PROGRAMMING | 1,000 | [
"brute force",
"constructive algorithms",
"strings"
] | null | null | Mike has a string *s* consisting of only lowercase English letters. He wants to change exactly one character from the string so that the resulting one is a palindrome.
A palindrome is a string that reads the same backward as forward, for example strings "z", "aaa", "aba", "abccba" are palindromes, but strings "codeforces", "reality", "ab" are not. | The first and single line contains string *s* (1<=≤<=|*s*|<=≤<=15). | Print "YES" (without quotes) if Mike can change exactly one character so that the resulting string is palindrome or "NO" (without quotes) otherwise. | [
"abccaa\n",
"abbcca\n",
"abcda\n"
] | [
"YES\n",
"NO\n",
"YES\n"
] | none | 500 | [
{
"input": "abccaa",
"output": "YES"
},
{
"input": "abbcca",
"output": "NO"
},
{
"input": "abcda",
"output": "YES"
},
{
"input": "kyw",
"output": "YES"
},
{
"input": "fccf",
"output": "NO"
},
{
"input": "mnlm",
"output": "YES"
},
{
"input":... | 1,637,426,688 | 2,147,483,647 | Python 3 | OK | TESTS | 99 | 46 | 0 | text=input()
n=len(text)
c=0
for i in range(n):
if text[i]!=text[n-i-1]:
c=c+1
if (n%2==0):
if(c==2):
print("yes")
else:
print("no")
elif(n%2==1):
if (c==2 or c==0):
print("yes")
else:
print("no") | Title: Mike and palindrome
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mike has a string *s* consisting of only lowercase English letters. He wants to change exactly one character from the string so that the resulting one is a palindrome.
A palindrome is a string that reads the same backward as forward, for example strings "z", "aaa", "aba", "abccba" are palindromes, but strings "codeforces", "reality", "ab" are not.
Input Specification:
The first and single line contains string *s* (1<=≤<=|*s*|<=≤<=15).
Output Specification:
Print "YES" (without quotes) if Mike can change exactly one character so that the resulting string is palindrome or "NO" (without quotes) otherwise.
Demo Input:
['abccaa\n', 'abbcca\n', 'abcda\n']
Demo Output:
['YES\n', 'NO\n', 'YES\n']
Note:
none | ```python
text=input()
n=len(text)
c=0
for i in range(n):
if text[i]!=text[n-i-1]:
c=c+1
if (n%2==0):
if(c==2):
print("yes")
else:
print("no")
elif(n%2==1):
if (c==2 or c==0):
print("yes")
else:
print("no")
``` | 3 | |
508 | A | Pasha and Pixels | PROGRAMMING | 1,100 | [
"brute force"
] | null | null | Pasha loves his phone and also putting his hair up... But the hair is now irrelevant.
Pasha has installed a new game to his phone. The goal of the game is following. There is a rectangular field consisting of *n* row with *m* pixels in each row. Initially, all the pixels are colored white. In one move, Pasha can choose any pixel and color it black. In particular, he can choose the pixel that is already black, then after the boy's move the pixel does not change, that is, it remains black. Pasha loses the game when a 2<=×<=2 square consisting of black pixels is formed.
Pasha has made a plan of *k* moves, according to which he will paint pixels. Each turn in his plan is represented as a pair of numbers *i* and *j*, denoting respectively the row and the column of the pixel to be colored on the current move.
Determine whether Pasha loses if he acts in accordance with his plan, and if he does, on what move the 2<=×<=2 square consisting of black pixels is formed. | The first line of the input contains three integers *n*,<=*m*,<=*k* (1<=≤<=*n*,<=*m*<=≤<=1000, 1<=≤<=*k*<=≤<=105) — the number of rows, the number of columns and the number of moves that Pasha is going to perform.
The next *k* lines contain Pasha's moves in the order he makes them. Each line contains two integers *i* and *j* (1<=≤<=*i*<=≤<=*n*, 1<=≤<=*j*<=≤<=*m*), representing the row number and column number of the pixel that was painted during a move. | If Pasha loses, print the number of the move when the 2<=×<=2 square consisting of black pixels is formed.
If Pasha doesn't lose, that is, no 2<=×<=2 square consisting of black pixels is formed during the given *k* moves, print 0. | [
"2 2 4\n1 1\n1 2\n2 1\n2 2\n",
"2 3 6\n2 3\n2 2\n1 3\n2 2\n1 2\n1 1\n",
"5 3 7\n2 3\n1 2\n1 1\n4 1\n3 1\n5 3\n3 2\n"
] | [
"4\n",
"5\n",
"0\n"
] | none | 500 | [
{
"input": "2 2 4\n1 1\n1 2\n2 1\n2 2",
"output": "4"
},
{
"input": "2 3 6\n2 3\n2 2\n1 3\n2 2\n1 2\n1 1",
"output": "5"
},
{
"input": "5 3 7\n2 3\n1 2\n1 1\n4 1\n3 1\n5 3\n3 2",
"output": "0"
},
{
"input": "3 3 11\n2 1\n3 1\n1 1\n1 3\n1 2\n2 3\n3 3\n3 2\n2 2\n1 3\n3 3",
... | 1,697,817,865 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 | n, m, k = map(int, input().split())
board = [[0] * (m + 2) for _ in range(n + 2)]
for _ in range(k):
i, j = map(int, input().split())
board[i][j] = 1
if board[i-1][j-1] and board[i-1][j] and board[i][j-1]:
print(_)
break
if board[i+1][j-1] and board[i+1][j] and board[i][j-1]:
print(_)
break
if board[i-1][j+1] and board[i-1][j] and board[i][j+1]:
print(_)
break
if board[i+1][j+1] and board[i+1][j] and board[i][j+1]:
print(_)
break
else:
print(0)
| Title: Pasha and Pixels
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Pasha loves his phone and also putting his hair up... But the hair is now irrelevant.
Pasha has installed a new game to his phone. The goal of the game is following. There is a rectangular field consisting of *n* row with *m* pixels in each row. Initially, all the pixels are colored white. In one move, Pasha can choose any pixel and color it black. In particular, he can choose the pixel that is already black, then after the boy's move the pixel does not change, that is, it remains black. Pasha loses the game when a 2<=×<=2 square consisting of black pixels is formed.
Pasha has made a plan of *k* moves, according to which he will paint pixels. Each turn in his plan is represented as a pair of numbers *i* and *j*, denoting respectively the row and the column of the pixel to be colored on the current move.
Determine whether Pasha loses if he acts in accordance with his plan, and if he does, on what move the 2<=×<=2 square consisting of black pixels is formed.
Input Specification:
The first line of the input contains three integers *n*,<=*m*,<=*k* (1<=≤<=*n*,<=*m*<=≤<=1000, 1<=≤<=*k*<=≤<=105) — the number of rows, the number of columns and the number of moves that Pasha is going to perform.
The next *k* lines contain Pasha's moves in the order he makes them. Each line contains two integers *i* and *j* (1<=≤<=*i*<=≤<=*n*, 1<=≤<=*j*<=≤<=*m*), representing the row number and column number of the pixel that was painted during a move.
Output Specification:
If Pasha loses, print the number of the move when the 2<=×<=2 square consisting of black pixels is formed.
If Pasha doesn't lose, that is, no 2<=×<=2 square consisting of black pixels is formed during the given *k* moves, print 0.
Demo Input:
['2 2 4\n1 1\n1 2\n2 1\n2 2\n', '2 3 6\n2 3\n2 2\n1 3\n2 2\n1 2\n1 1\n', '5 3 7\n2 3\n1 2\n1 1\n4 1\n3 1\n5 3\n3 2\n']
Demo Output:
['4\n', '5\n', '0\n']
Note:
none | ```python
n, m, k = map(int, input().split())
board = [[0] * (m + 2) for _ in range(n + 2)]
for _ in range(k):
i, j = map(int, input().split())
board[i][j] = 1
if board[i-1][j-1] and board[i-1][j] and board[i][j-1]:
print(_)
break
if board[i+1][j-1] and board[i+1][j] and board[i][j-1]:
print(_)
break
if board[i-1][j+1] and board[i-1][j] and board[i][j+1]:
print(_)
break
if board[i+1][j+1] and board[i+1][j] and board[i][j+1]:
print(_)
break
else:
print(0)
``` | 0 | |
714 | B | Filya and Homework | PROGRAMMING | 1,200 | [
"implementation",
"sortings"
] | null | null | Today, hedgehog Filya went to school for the very first time! Teacher gave him a homework which Filya was unable to complete without your help.
Filya is given an array of non-negative integers *a*1,<=*a*2,<=...,<=*a**n*. First, he pick an integer *x* and then he adds *x* to some elements of the array (no more than once), subtract *x* from some other elements (also, no more than once) and do no change other elements. He wants all elements of the array to be equal.
Now he wonders if it's possible to pick such integer *x* and change some elements of the array using this *x* in order to make all elements equal. | The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of integers in the Filya's array. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=109) — elements of the array. | If it's impossible to make all elements of the array equal using the process given in the problem statement, then print "NO" (without quotes) in the only line of the output. Otherwise print "YES" (without quotes). | [
"5\n1 3 3 2 1\n",
"5\n1 2 3 4 5\n"
] | [
"YES\n",
"NO\n"
] | In the first sample Filya should select *x* = 1, then add it to the first and the last elements of the array and subtract from the second and the third elements. | 1,000 | [
{
"input": "5\n1 3 3 2 1",
"output": "YES"
},
{
"input": "5\n1 2 3 4 5",
"output": "NO"
},
{
"input": "2\n1 2",
"output": "YES"
},
{
"input": "3\n1 2 3",
"output": "YES"
},
{
"input": "3\n1 1 1",
"output": "YES"
},
{
"input": "2\n1 1000000000",
"ou... | 1,690,895,998 | 2,147,483,647 | PyPy 3 | OK | TESTS | 79 | 171 | 13,312,000 | n=int(input())
a=list(map(int,input().split()))
s=list(set(a))
if (len(s)==3 and sum(s)%3==0 and sum(s)/3 in s) or len(s)<3:
print("YES")
else:
print("NO") | Title: Filya and Homework
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Today, hedgehog Filya went to school for the very first time! Teacher gave him a homework which Filya was unable to complete without your help.
Filya is given an array of non-negative integers *a*1,<=*a*2,<=...,<=*a**n*. First, he pick an integer *x* and then he adds *x* to some elements of the array (no more than once), subtract *x* from some other elements (also, no more than once) and do no change other elements. He wants all elements of the array to be equal.
Now he wonders if it's possible to pick such integer *x* and change some elements of the array using this *x* in order to make all elements equal.
Input Specification:
The first line of the input contains an integer *n* (1<=≤<=*n*<=≤<=100<=000) — the number of integers in the Filya's array. The second line contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=109) — elements of the array.
Output Specification:
If it's impossible to make all elements of the array equal using the process given in the problem statement, then print "NO" (without quotes) in the only line of the output. Otherwise print "YES" (without quotes).
Demo Input:
['5\n1 3 3 2 1\n', '5\n1 2 3 4 5\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first sample Filya should select *x* = 1, then add it to the first and the last elements of the array and subtract from the second and the third elements. | ```python
n=int(input())
a=list(map(int,input().split()))
s=list(set(a))
if (len(s)==3 and sum(s)%3==0 and sum(s)/3 in s) or len(s)<3:
print("YES")
else:
print("NO")
``` | 3 | |
698 | A | Vacations | PROGRAMMING | 1,400 | [
"dp"
] | null | null | Vasya has *n* days of vacations! So he decided to improve his IT skills and do sport. Vasya knows the following information about each of this *n* days: whether that gym opened and whether a contest was carried out in the Internet on that day. For the *i*-th day there are four options:
1. on this day the gym is closed and the contest is not carried out; 1. on this day the gym is closed and the contest is carried out; 1. on this day the gym is open and the contest is not carried out; 1. on this day the gym is open and the contest is carried out.
On each of days Vasya can either have a rest or write the contest (if it is carried out on this day), or do sport (if the gym is open on this day).
Find the minimum number of days on which Vasya will have a rest (it means, he will not do sport and write the contest at the same time). The only limitation that Vasya has — he does not want to do the same activity on two consecutive days: it means, he will not do sport on two consecutive days, and write the contest on two consecutive days. | The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the number of days of Vasya's vacations.
The second line contains the sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=3) separated by space, where:
- *a**i* equals 0, if on the *i*-th day of vacations the gym is closed and the contest is not carried out; - *a**i* equals 1, if on the *i*-th day of vacations the gym is closed, but the contest is carried out; - *a**i* equals 2, if on the *i*-th day of vacations the gym is open and the contest is not carried out; - *a**i* equals 3, if on the *i*-th day of vacations the gym is open and the contest is carried out. | Print the minimum possible number of days on which Vasya will have a rest. Remember that Vasya refuses:
- to do sport on any two consecutive days, - to write the contest on any two consecutive days. | [
"4\n1 3 2 0\n",
"7\n1 3 3 2 1 2 3\n",
"2\n2 2\n"
] | [
"2\n",
"0\n",
"1\n"
] | In the first test Vasya can write the contest on the day number 1 and do sport on the day number 3. Thus, he will have a rest for only 2 days.
In the second test Vasya should write contests on days number 1, 3, 5 and 7, in other days do sport. Thus, he will not have a rest for a single day.
In the third test Vasya can do sport either on a day number 1 or number 2. He can not do sport in two days, because it will be contrary to the his limitation. Thus, he will have a rest for only one day. | 500 | [
{
"input": "4\n1 3 2 0",
"output": "2"
},
{
"input": "7\n1 3 3 2 1 2 3",
"output": "0"
},
{
"input": "2\n2 2",
"output": "1"
},
{
"input": "1\n0",
"output": "1"
},
{
"input": "10\n0 0 1 1 0 0 0 0 1 0",
"output": "8"
},
{
"input": "100\n3 2 3 3 3 2 3 1 ... | 1,623,170,638 | 2,147,483,647 | PyPy 3 | OK | TESTS | 88 | 140 | 0 | n = int(input())
s = [0] + list(map(int, input().split()))
dp = [[0] * (n + 1) for _ in range(3)]
for i in range(1, n + 1):
dp[0][i] = min(dp[0][i - 1], dp[1][i - 1], dp[2][i - 1]) + 1
dp[1][i] = dp[1][i - 1] + 1
dp[2][i] = dp[2][i - 1] + 1
if s[i] == 0:
dp[0][i] = min(dp[0][i - 1], dp[1][i - 1], dp[2][i - 1]) + 1
elif s[i] == 1:
dp[2][i] = min(dp[1][i - 1], dp[0][i - 1])
elif s[i] == 2:
dp[1][i] = min(dp[2][i - 1], dp[0][i - 1])
else:
dp[2][i] = min(dp[1][i - 1], dp[0][i - 1])
dp[1][i] = min(dp[2][i - 1], dp[0][i - 1])
minim = 10000000000
for i in range(3):
minim = min(dp[i][n], minim)
print(minim)
| Title: Vacations
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya has *n* days of vacations! So he decided to improve his IT skills and do sport. Vasya knows the following information about each of this *n* days: whether that gym opened and whether a contest was carried out in the Internet on that day. For the *i*-th day there are four options:
1. on this day the gym is closed and the contest is not carried out; 1. on this day the gym is closed and the contest is carried out; 1. on this day the gym is open and the contest is not carried out; 1. on this day the gym is open and the contest is carried out.
On each of days Vasya can either have a rest or write the contest (if it is carried out on this day), or do sport (if the gym is open on this day).
Find the minimum number of days on which Vasya will have a rest (it means, he will not do sport and write the contest at the same time). The only limitation that Vasya has — he does not want to do the same activity on two consecutive days: it means, he will not do sport on two consecutive days, and write the contest on two consecutive days.
Input Specification:
The first line contains a positive integer *n* (1<=≤<=*n*<=≤<=100) — the number of days of Vasya's vacations.
The second line contains the sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=3) separated by space, where:
- *a**i* equals 0, if on the *i*-th day of vacations the gym is closed and the contest is not carried out; - *a**i* equals 1, if on the *i*-th day of vacations the gym is closed, but the contest is carried out; - *a**i* equals 2, if on the *i*-th day of vacations the gym is open and the contest is not carried out; - *a**i* equals 3, if on the *i*-th day of vacations the gym is open and the contest is carried out.
Output Specification:
Print the minimum possible number of days on which Vasya will have a rest. Remember that Vasya refuses:
- to do sport on any two consecutive days, - to write the contest on any two consecutive days.
Demo Input:
['4\n1 3 2 0\n', '7\n1 3 3 2 1 2 3\n', '2\n2 2\n']
Demo Output:
['2\n', '0\n', '1\n']
Note:
In the first test Vasya can write the contest on the day number 1 and do sport on the day number 3. Thus, he will have a rest for only 2 days.
In the second test Vasya should write contests on days number 1, 3, 5 and 7, in other days do sport. Thus, he will not have a rest for a single day.
In the third test Vasya can do sport either on a day number 1 or number 2. He can not do sport in two days, because it will be contrary to the his limitation. Thus, he will have a rest for only one day. | ```python
n = int(input())
s = [0] + list(map(int, input().split()))
dp = [[0] * (n + 1) for _ in range(3)]
for i in range(1, n + 1):
dp[0][i] = min(dp[0][i - 1], dp[1][i - 1], dp[2][i - 1]) + 1
dp[1][i] = dp[1][i - 1] + 1
dp[2][i] = dp[2][i - 1] + 1
if s[i] == 0:
dp[0][i] = min(dp[0][i - 1], dp[1][i - 1], dp[2][i - 1]) + 1
elif s[i] == 1:
dp[2][i] = min(dp[1][i - 1], dp[0][i - 1])
elif s[i] == 2:
dp[1][i] = min(dp[2][i - 1], dp[0][i - 1])
else:
dp[2][i] = min(dp[1][i - 1], dp[0][i - 1])
dp[1][i] = min(dp[2][i - 1], dp[0][i - 1])
minim = 10000000000
for i in range(3):
minim = min(dp[i][n], minim)
print(minim)
``` | 3 | |
1,003 | A | Polycarp's Pockets | PROGRAMMING | 800 | [
"implementation"
] | null | null | Polycarp has $n$ coins, the value of the $i$-th coin is $a_i$. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array $a = [1, 2, 4, 3, 3, 2]$, he can distribute the coins into two pockets as follows: $[1, 2, 3], [2, 3, 4]$.
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that. | The first line of the input contains one integer $n$ ($1 \le n \le 100$) — the number of coins.
The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 100$) — values of coins. | Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket. | [
"6\n1 2 4 3 3 2\n",
"1\n100\n"
] | [
"2\n",
"1\n"
] | none | 0 | [
{
"input": "6\n1 2 4 3 3 2",
"output": "2"
},
{
"input": "1\n100",
"output": "1"
},
{
"input": "100\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100... | 1,638,359,174 | 674 | Python 3 | WRONG_ANSWER | TESTS | 1 | 30 | 0 | n=int(input())
l=list(map(int,input().split()))
d={}
for i in l:
if i not in d:
d[i]=1
else:
d[i]+=1
print(max(d,key=d.get))
'''
6
1 2 4 3 3 2
'''
| Title: Polycarp's Pockets
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp has $n$ coins, the value of the $i$-th coin is $a_i$. Polycarp wants to distribute all the coins between his pockets, but he cannot put two coins with the same value into the same pocket.
For example, if Polycarp has got six coins represented as an array $a = [1, 2, 4, 3, 3, 2]$, he can distribute the coins into two pockets as follows: $[1, 2, 3], [2, 3, 4]$.
Polycarp wants to distribute all the coins with the minimum number of used pockets. Help him to do that.
Input Specification:
The first line of the input contains one integer $n$ ($1 \le n \le 100$) — the number of coins.
The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 100$) — values of coins.
Output Specification:
Print only one integer — the minimum number of pockets Polycarp needs to distribute all the coins so no two coins with the same value are put into the same pocket.
Demo Input:
['6\n1 2 4 3 3 2\n', '1\n100\n']
Demo Output:
['2\n', '1\n']
Note:
none | ```python
n=int(input())
l=list(map(int,input().split()))
d={}
for i in l:
if i not in d:
d[i]=1
else:
d[i]+=1
print(max(d,key=d.get))
'''
6
1 2 4 3 3 2
'''
``` | 0 | |
336 | A | Vasily the Bear and Triangle | PROGRAMMING | 1,000 | [
"implementation",
"math"
] | null | null | Vasily the bear has a favorite rectangle, it has one vertex at point (0,<=0), and the opposite vertex at point (*x*,<=*y*). Of course, the sides of Vasya's favorite rectangle are parallel to the coordinate axes.
Vasya also loves triangles, if the triangles have one vertex at point *B*<==<=(0,<=0). That's why today he asks you to find two points *A*<==<=(*x*1,<=*y*1) and *C*<==<=(*x*2,<=*y*2), such that the following conditions hold:
- the coordinates of points: *x*1, *x*2, *y*1, *y*2 are integers. Besides, the following inequation holds: *x*1<=<<=*x*2; - the triangle formed by point *A*, *B* and *C* is rectangular and isosceles ( is right); - all points of the favorite rectangle are located inside or on the border of triangle *ABC*; - the area of triangle *ABC* is as small as possible.
Help the bear, find the required points. It is not so hard to proof that these points are unique. | The first line contains two integers *x*,<=*y* (<=-<=109<=≤<=*x*,<=*y*<=≤<=109,<=*x*<=≠<=0,<=*y*<=≠<=0). | Print in the single line four integers *x*1,<=*y*1,<=*x*2,<=*y*2 — the coordinates of the required points. | [
"10 5\n",
"-10 5\n"
] | [
"0 15 15 0\n",
"-15 0 0 15\n"
] | <img class="tex-graphics" src="https://espresso.codeforces.com/a9ea2088c4294ce8f23801562fda36b830df2c3f.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Figure to the first sample | 500 | [
{
"input": "10 5",
"output": "0 15 15 0"
},
{
"input": "-10 5",
"output": "-15 0 0 15"
},
{
"input": "20 -10",
"output": "0 -30 30 0"
},
{
"input": "-10 -1000000000",
"output": "-1000000010 0 0 -1000000010"
},
{
"input": "-1000000000 -1000000000",
"output": "-... | 1,517,045,084 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 92 | 5,632,000 | #from dust i have come dust i will be
x,y=map(int,input().split())
X=abs(x)+abs(y)
Y=X
if x<0:
X=(-1*X)
if y<0:
Y=(-1*Y)
if X<Y:
print(X, 0, 0, Y)
else:
print(0, Y, X, 0)
| Title: Vasily the Bear and Triangle
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasily the bear has a favorite rectangle, it has one vertex at point (0,<=0), and the opposite vertex at point (*x*,<=*y*). Of course, the sides of Vasya's favorite rectangle are parallel to the coordinate axes.
Vasya also loves triangles, if the triangles have one vertex at point *B*<==<=(0,<=0). That's why today he asks you to find two points *A*<==<=(*x*1,<=*y*1) and *C*<==<=(*x*2,<=*y*2), such that the following conditions hold:
- the coordinates of points: *x*1, *x*2, *y*1, *y*2 are integers. Besides, the following inequation holds: *x*1<=<<=*x*2; - the triangle formed by point *A*, *B* and *C* is rectangular and isosceles ( is right); - all points of the favorite rectangle are located inside or on the border of triangle *ABC*; - the area of triangle *ABC* is as small as possible.
Help the bear, find the required points. It is not so hard to proof that these points are unique.
Input Specification:
The first line contains two integers *x*,<=*y* (<=-<=109<=≤<=*x*,<=*y*<=≤<=109,<=*x*<=≠<=0,<=*y*<=≠<=0).
Output Specification:
Print in the single line four integers *x*1,<=*y*1,<=*x*2,<=*y*2 — the coordinates of the required points.
Demo Input:
['10 5\n', '-10 5\n']
Demo Output:
['0 15 15 0\n', '-15 0 0 15\n']
Note:
<img class="tex-graphics" src="https://espresso.codeforces.com/a9ea2088c4294ce8f23801562fda36b830df2c3f.png" style="max-width: 100.0%;max-height: 100.0%;"/>
Figure to the first sample | ```python
#from dust i have come dust i will be
x,y=map(int,input().split())
X=abs(x)+abs(y)
Y=X
if x<0:
X=(-1*X)
if y<0:
Y=(-1*Y)
if X<Y:
print(X, 0, 0, Y)
else:
print(0, Y, X, 0)
``` | 0 | |
875 | A | Classroom Watch | PROGRAMMING | 1,200 | [
"brute force",
"math"
] | null | null | Eighth-grader Vova is on duty today in the class. After classes, he went into the office to wash the board, and found on it the number *n*. He asked what is this number and the teacher of mathematics Inna Petrovna answered Vova that *n* is the answer to the arithmetic task for first-graders. In the textbook, a certain positive integer *x* was given. The task was to add *x* to the sum of the digits of the number *x* written in decimal numeral system.
Since the number *n* on the board was small, Vova quickly guessed which *x* could be in the textbook. Now he wants to get a program which will search for arbitrary values of the number *n* for all suitable values of *x* or determine that such *x* does not exist. Write such a program for Vova. | The first line contains integer *n* (1<=≤<=*n*<=≤<=109). | In the first line print one integer *k* — number of different values of *x* satisfying the condition.
In next *k* lines print these values in ascending order. | [
"21\n",
"20\n"
] | [
"1\n15\n",
"0\n"
] | In the first test case *x* = 15 there is only one variant: 15 + 1 + 5 = 21.
In the second test case there are no such *x*. | 500 | [
{
"input": "21",
"output": "1\n15"
},
{
"input": "20",
"output": "0"
},
{
"input": "1",
"output": "0"
},
{
"input": "2",
"output": "1\n1"
},
{
"input": "3",
"output": "0"
},
{
"input": "100000001",
"output": "2\n99999937\n100000000"
},
{
"i... | 1,644,188,680 | 2,147,483,647 | Python 3 | OK | TESTS | 18 | 46 | 0 | a = int(input())
l = []
for i in range(max(1, a - 99), a):
if i + sum(map(int, str(i))) == a:
l.append(i)
print(len(l))
print(*l) | Title: Classroom Watch
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Eighth-grader Vova is on duty today in the class. After classes, he went into the office to wash the board, and found on it the number *n*. He asked what is this number and the teacher of mathematics Inna Petrovna answered Vova that *n* is the answer to the arithmetic task for first-graders. In the textbook, a certain positive integer *x* was given. The task was to add *x* to the sum of the digits of the number *x* written in decimal numeral system.
Since the number *n* on the board was small, Vova quickly guessed which *x* could be in the textbook. Now he wants to get a program which will search for arbitrary values of the number *n* for all suitable values of *x* or determine that such *x* does not exist. Write such a program for Vova.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=109).
Output Specification:
In the first line print one integer *k* — number of different values of *x* satisfying the condition.
In next *k* lines print these values in ascending order.
Demo Input:
['21\n', '20\n']
Demo Output:
['1\n15\n', '0\n']
Note:
In the first test case *x* = 15 there is only one variant: 15 + 1 + 5 = 21.
In the second test case there are no such *x*. | ```python
a = int(input())
l = []
for i in range(max(1, a - 99), a):
if i + sum(map(int, str(i))) == a:
l.append(i)
print(len(l))
print(*l)
``` | 3 | |
864 | A | Fair Game | PROGRAMMING | 1,000 | [
"implementation",
"sortings"
] | null | null | Petya and Vasya decided to play a game. They have *n* cards (*n* is an even number). A single integer is written on each card.
Before the game Petya will choose an integer and after that Vasya will choose another integer (different from the number that Petya chose). During the game each player takes all the cards with number he chose. For example, if Petya chose number 5 before the game he will take all cards on which 5 is written and if Vasya chose number 10 before the game he will take all cards on which 10 is written.
The game is considered fair if Petya and Vasya can take all *n* cards, and the number of cards each player gets is the same.
Determine whether Petya and Vasya can choose integer numbers before the game so that the game is fair. | The first line contains a single integer *n* (2<=≤<=*n*<=≤<=100) — number of cards. It is guaranteed that *n* is an even number.
The following *n* lines contain a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (one integer per line, 1<=≤<=*a**i*<=≤<=100) — numbers written on the *n* cards. | If it is impossible for Petya and Vasya to choose numbers in such a way that the game will be fair, print "NO" (without quotes) in the first line. In this case you should not print anything more.
In the other case print "YES" (without quotes) in the first line. In the second line print two distinct integers — number that Petya should choose and the number that Vasya should choose to make the game fair. If there are several solutions, print any of them. | [
"4\n11\n27\n27\n11\n",
"2\n6\n6\n",
"6\n10\n20\n30\n20\n10\n20\n",
"6\n1\n1\n2\n2\n3\n3\n"
] | [
"YES\n11 27\n",
"NO\n",
"NO\n",
"NO\n"
] | In the first example the game will be fair if, for example, Petya chooses number 11, and Vasya chooses number 27. Then the will take all cards — Petya will take cards 1 and 4, and Vasya will take cards 2 and 3. Thus, each of them will take exactly two cards.
In the second example fair game is impossible because the numbers written on the cards are equal, but the numbers that Petya and Vasya should choose should be distinct.
In the third example it is impossible to take all cards. Petya and Vasya can take at most five cards — for example, Petya can choose number 10 and Vasya can choose number 20. But for the game to be fair it is necessary to take 6 cards. | 500 | [
{
"input": "4\n11\n27\n27\n11",
"output": "YES\n11 27"
},
{
"input": "2\n6\n6",
"output": "NO"
},
{
"input": "6\n10\n20\n30\n20\n10\n20",
"output": "NO"
},
{
"input": "6\n1\n1\n2\n2\n3\n3",
"output": "NO"
},
{
"input": "2\n1\n100",
"output": "YES\n1 100"
},
... | 1,507,147,212 | 2,147,483,647 | Python 3 | OK | TESTS | 54 | 61 | 0 | a = [int(input()) for i in range(int(input()))]
d = dict()
for i in a:
if i not in d.keys():
d[i] = 0
d[i] += 1
if len(d.keys()) == 2 and d[a[0]] == len(a) // 2:
print("YES")
for i in d.keys():
print(i, end=' ')
else:
print("NO")
| Title: Fair Game
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petya and Vasya decided to play a game. They have *n* cards (*n* is an even number). A single integer is written on each card.
Before the game Petya will choose an integer and after that Vasya will choose another integer (different from the number that Petya chose). During the game each player takes all the cards with number he chose. For example, if Petya chose number 5 before the game he will take all cards on which 5 is written and if Vasya chose number 10 before the game he will take all cards on which 10 is written.
The game is considered fair if Petya and Vasya can take all *n* cards, and the number of cards each player gets is the same.
Determine whether Petya and Vasya can choose integer numbers before the game so that the game is fair.
Input Specification:
The first line contains a single integer *n* (2<=≤<=*n*<=≤<=100) — number of cards. It is guaranteed that *n* is an even number.
The following *n* lines contain a sequence of integers *a*1,<=*a*2,<=...,<=*a**n* (one integer per line, 1<=≤<=*a**i*<=≤<=100) — numbers written on the *n* cards.
Output Specification:
If it is impossible for Petya and Vasya to choose numbers in such a way that the game will be fair, print "NO" (without quotes) in the first line. In this case you should not print anything more.
In the other case print "YES" (without quotes) in the first line. In the second line print two distinct integers — number that Petya should choose and the number that Vasya should choose to make the game fair. If there are several solutions, print any of them.
Demo Input:
['4\n11\n27\n27\n11\n', '2\n6\n6\n', '6\n10\n20\n30\n20\n10\n20\n', '6\n1\n1\n2\n2\n3\n3\n']
Demo Output:
['YES\n11 27\n', 'NO\n', 'NO\n', 'NO\n']
Note:
In the first example the game will be fair if, for example, Petya chooses number 11, and Vasya chooses number 27. Then the will take all cards — Petya will take cards 1 and 4, and Vasya will take cards 2 and 3. Thus, each of them will take exactly two cards.
In the second example fair game is impossible because the numbers written on the cards are equal, but the numbers that Petya and Vasya should choose should be distinct.
In the third example it is impossible to take all cards. Petya and Vasya can take at most five cards — for example, Petya can choose number 10 and Vasya can choose number 20. But for the game to be fair it is necessary to take 6 cards. | ```python
a = [int(input()) for i in range(int(input()))]
d = dict()
for i in a:
if i not in d.keys():
d[i] = 0
d[i] += 1
if len(d.keys()) == 2 and d[a[0]] == len(a) // 2:
print("YES")
for i in d.keys():
print(i, end=' ')
else:
print("NO")
``` | 3 | |
26 | A | Almost Prime | PROGRAMMING | 900 | [
"number theory"
] | A. Almost Prime | 2 | 256 | A number is called almost prime if it has exactly two distinct prime divisors. For example, numbers 6, 18, 24 are almost prime, while 4, 8, 9, 42 are not. Find the amount of almost prime numbers which are between 1 and *n*, inclusive. | Input contains one integer number *n* (1<=≤<=*n*<=≤<=3000). | Output the amount of almost prime numbers between 1 and *n*, inclusive. | [
"10\n",
"21\n"
] | [
"2\n",
"8\n"
] | none | 500 | [
{
"input": "10",
"output": "2"
},
{
"input": "21",
"output": "8"
},
{
"input": "1",
"output": "0"
},
{
"input": "2",
"output": "0"
},
{
"input": "4",
"output": "0"
},
{
"input": "3",
"output": "0"
},
{
"input": "8",
"output": "1"
},
... | 1,590,943,719 | 2,147,483,647 | PyPy 3 | WRONG_ANSWER | TESTS | 8 | 280 | 0 | import math
def almostPrime(i):
s = i
count2 = 0
for j in prime:
if i%j ==0:
count2 += 1
while i%j == 0:
i = i/j
if i in prime or (i == 1 and count2 ==2):
count[0] += 1
return
def isPrime(i):
if sieve[i]:
for j in range(i*i,n+1,i):
sieve[j] = False
n = int(input())
sieve = [True for i in range(n+1)]
sieve[0]= sieve[1] = False
rnge = int(math.sqrt(n))
prime = []
non_prime = []
for i in range(2,rnge+1):
isPrime(i)
for i in range(2, n+1):
if sieve[i]:
prime.append(i)
else:
non_prime.append(i)
count = [0]
for i in non_prime:
almostPrime(i)
print(count[0])
| Title: Almost Prime
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
A number is called almost prime if it has exactly two distinct prime divisors. For example, numbers 6, 18, 24 are almost prime, while 4, 8, 9, 42 are not. Find the amount of almost prime numbers which are between 1 and *n*, inclusive.
Input Specification:
Input contains one integer number *n* (1<=≤<=*n*<=≤<=3000).
Output Specification:
Output the amount of almost prime numbers between 1 and *n*, inclusive.
Demo Input:
['10\n', '21\n']
Demo Output:
['2\n', '8\n']
Note:
none | ```python
import math
def almostPrime(i):
s = i
count2 = 0
for j in prime:
if i%j ==0:
count2 += 1
while i%j == 0:
i = i/j
if i in prime or (i == 1 and count2 ==2):
count[0] += 1
return
def isPrime(i):
if sieve[i]:
for j in range(i*i,n+1,i):
sieve[j] = False
n = int(input())
sieve = [True for i in range(n+1)]
sieve[0]= sieve[1] = False
rnge = int(math.sqrt(n))
prime = []
non_prime = []
for i in range(2,rnge+1):
isPrime(i)
for i in range(2, n+1):
if sieve[i]:
prime.append(i)
else:
non_prime.append(i)
count = [0]
for i in non_prime:
almostPrime(i)
print(count[0])
``` | 0 |
519 | A | A and B and Chess | PROGRAMMING | 900 | [
"implementation"
] | null | null | A and B are preparing themselves for programming contests.
To train their logical thinking and solve problems better, A and B decided to play chess. During the game A wondered whose position is now stronger.
For each chess piece we know its weight:
- the queen's weight is 9, - the rook's weight is 5, - the bishop's weight is 3, - the knight's weight is 3, - the pawn's weight is 1, - the king's weight isn't considered in evaluating position.
The player's weight equals to the sum of weights of all his pieces on the board.
As A doesn't like counting, he asked you to help him determine which player has the larger position weight. | The input contains eight lines, eight characters each — the board's description.
The white pieces on the board are marked with uppercase letters, the black pieces are marked with lowercase letters.
The white pieces are denoted as follows: the queen is represented is 'Q', the rook — as 'R', the bishop — as'B', the knight — as 'N', the pawn — as 'P', the king — as 'K'.
The black pieces are denoted as 'q', 'r', 'b', 'n', 'p', 'k', respectively.
An empty square of the board is marked as '.' (a dot).
It is not guaranteed that the given chess position can be achieved in a real game. Specifically, there can be an arbitrary (possibly zero) number pieces of each type, the king may be under attack and so on. | Print "White" (without quotes) if the weight of the position of the white pieces is more than the weight of the position of the black pieces, print "Black" if the weight of the black pieces is more than the weight of the white pieces and print "Draw" if the weights of the white and black pieces are equal. | [
"...QK...\n........\n........\n........\n........\n........\n........\n...rk...\n",
"rnbqkbnr\npppppppp\n........\n........\n........\n........\nPPPPPPPP\nRNBQKBNR\n",
"rppppppr\n...k....\n........\n........\n........\n........\nK...Q...\n........\n"
] | [
"White\n",
"Draw\n",
"Black\n"
] | In the first test sample the weight of the position of the white pieces equals to 9, the weight of the position of the black pieces equals 5.
In the second test sample the weights of the positions of the black and the white pieces are equal to 39.
In the third test sample the weight of the position of the white pieces equals to 9, the weight of the position of the black pieces equals to 16. | 500 | [
{
"input": "rnbqkbnr\npppppppp\n........\n........\n........\n........\nPPPPPPPP\nRNBQKBNR",
"output": "Draw"
},
{
"input": "....bQ.K\n.B......\n.....P..\n........\n........\n........\n...N.P..\n.....R..",
"output": "White"
},
{
"input": "b....p..\nR.......\n.pP...b.\npp......\nq.PPNpPR\... | 1,623,023,325 | 2,147,483,647 | Python 3 | OK | TESTS | 65 | 109 | 0 | d={'r':5,'b': 3,'n':3,'q':9,'p':1}
p=0
for _ in range(8):
for i in input():
p+=d.get(i.lower(),0)*(-1+2*i.isupper())
print('White' if p>0 else ['Black','Draw'][not p]) | Title: A and B and Chess
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A and B are preparing themselves for programming contests.
To train their logical thinking and solve problems better, A and B decided to play chess. During the game A wondered whose position is now stronger.
For each chess piece we know its weight:
- the queen's weight is 9, - the rook's weight is 5, - the bishop's weight is 3, - the knight's weight is 3, - the pawn's weight is 1, - the king's weight isn't considered in evaluating position.
The player's weight equals to the sum of weights of all his pieces on the board.
As A doesn't like counting, he asked you to help him determine which player has the larger position weight.
Input Specification:
The input contains eight lines, eight characters each — the board's description.
The white pieces on the board are marked with uppercase letters, the black pieces are marked with lowercase letters.
The white pieces are denoted as follows: the queen is represented is 'Q', the rook — as 'R', the bishop — as'B', the knight — as 'N', the pawn — as 'P', the king — as 'K'.
The black pieces are denoted as 'q', 'r', 'b', 'n', 'p', 'k', respectively.
An empty square of the board is marked as '.' (a dot).
It is not guaranteed that the given chess position can be achieved in a real game. Specifically, there can be an arbitrary (possibly zero) number pieces of each type, the king may be under attack and so on.
Output Specification:
Print "White" (without quotes) if the weight of the position of the white pieces is more than the weight of the position of the black pieces, print "Black" if the weight of the black pieces is more than the weight of the white pieces and print "Draw" if the weights of the white and black pieces are equal.
Demo Input:
['...QK...\n........\n........\n........\n........\n........\n........\n...rk...\n', 'rnbqkbnr\npppppppp\n........\n........\n........\n........\nPPPPPPPP\nRNBQKBNR\n', 'rppppppr\n...k....\n........\n........\n........\n........\nK...Q...\n........\n']
Demo Output:
['White\n', 'Draw\n', 'Black\n']
Note:
In the first test sample the weight of the position of the white pieces equals to 9, the weight of the position of the black pieces equals 5.
In the second test sample the weights of the positions of the black and the white pieces are equal to 39.
In the third test sample the weight of the position of the white pieces equals to 9, the weight of the position of the black pieces equals to 16. | ```python
d={'r':5,'b': 3,'n':3,'q':9,'p':1}
p=0
for _ in range(8):
for i in input():
p+=d.get(i.lower(),0)*(-1+2*i.isupper())
print('White' if p>0 else ['Black','Draw'][not p])
``` | 3 | |
214 | A | System of Equations | PROGRAMMING | 800 | [
"brute force"
] | null | null | Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are given a system of equations:
You should count, how many there are pairs of integers (*a*,<=*b*) (0<=≤<=*a*,<=*b*) which satisfy the system. | A single line contains two integers *n*,<=*m* (1<=≤<=*n*,<=*m*<=≤<=1000) — the parameters of the system. The numbers on the line are separated by a space. | On a single line print the answer to the problem. | [
"9 3\n",
"14 28\n",
"4 20\n"
] | [
"1\n",
"1\n",
"0\n"
] | In the first sample the suitable pair is integers (3, 0). In the second sample the suitable pair is integers (3, 5). In the third sample there is no suitable pair. | 500 | [
{
"input": "9 3",
"output": "1"
},
{
"input": "14 28",
"output": "1"
},
{
"input": "4 20",
"output": "0"
},
{
"input": "18 198",
"output": "1"
},
{
"input": "22 326",
"output": "1"
},
{
"input": "26 104",
"output": "1"
},
{
"input": "14 10"... | 1,673,033,936 | 2,147,483,647 | Python 3 | OK | TESTS | 54 | 622 | 0 |
def microsoft():
n,m = [int(x) for x in input().split()]
count = 0
for i in range(min(n,m)+1):
for j in range(min(n,m)+1):
if (i**2)+j == n and (j**2)+i == m:
count += 1
print(count)
microsoft()
| Title: System of Equations
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Furik loves math lessons very much, so he doesn't attend them, unlike Rubik. But now Furik wants to get a good mark for math. For that Ms. Ivanova, his math teacher, gave him a new task. Furik solved the task immediately. Can you?
You are given a system of equations:
You should count, how many there are pairs of integers (*a*,<=*b*) (0<=≤<=*a*,<=*b*) which satisfy the system.
Input Specification:
A single line contains two integers *n*,<=*m* (1<=≤<=*n*,<=*m*<=≤<=1000) — the parameters of the system. The numbers on the line are separated by a space.
Output Specification:
On a single line print the answer to the problem.
Demo Input:
['9 3\n', '14 28\n', '4 20\n']
Demo Output:
['1\n', '1\n', '0\n']
Note:
In the first sample the suitable pair is integers (3, 0). In the second sample the suitable pair is integers (3, 5). In the third sample there is no suitable pair. | ```python
def microsoft():
n,m = [int(x) for x in input().split()]
count = 0
for i in range(min(n,m)+1):
for j in range(min(n,m)+1):
if (i**2)+j == n and (j**2)+i == m:
count += 1
print(count)
microsoft()
``` | 3 | |
287 | A | IQ Test | PROGRAMMING | 1,100 | [
"brute force",
"implementation"
] | null | null | In the city of Ultima Thule job applicants are often offered an IQ test.
The test is as follows: the person gets a piece of squared paper with a 4<=×<=4 square painted on it. Some of the square's cells are painted black and others are painted white. Your task is to repaint at most one cell the other color so that the picture has a 2<=×<=2 square, completely consisting of cells of the same color. If the initial picture already has such a square, the person should just say so and the test will be completed.
Your task is to write a program that determines whether it is possible to pass the test. You cannot pass the test if either repainting any cell or no action doesn't result in a 2<=×<=2 square, consisting of cells of the same color. | Four lines contain four characters each: the *j*-th character of the *i*-th line equals "." if the cell in the *i*-th row and the *j*-th column of the square is painted white, and "#", if the cell is black. | Print "YES" (without the quotes), if the test can be passed and "NO" (without the quotes) otherwise. | [
"####\n.#..\n####\n....\n",
"####\n....\n####\n....\n"
] | [
"YES\n",
"NO\n"
] | In the first test sample it is enough to repaint the first cell in the second row. After such repainting the required 2 × 2 square is on the intersection of the 1-st and 2-nd row with the 1-st and 2-nd column. | 500 | [
{
"input": "###.\n...#\n###.\n...#",
"output": "NO"
},
{
"input": ".##.\n#..#\n.##.\n#..#",
"output": "NO"
},
{
"input": ".#.#\n#.#.\n.#.#\n#.#.",
"output": "NO"
},
{
"input": "##..\n..##\n##..\n..##",
"output": "NO"
},
{
"input": "#.#.\n#.#.\n.#.#\n.#.#",
"ou... | 1,651,921,261 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 1 | 46 | 0 | s=input()
ss=input()
sss=input()
ssss=input()
l=s+ss+sss+ssss
ll=s+ss
lll=ss+sss
llll=sss+ssss
if l.count('#')==l.count('.') and ll.count('#')!=4 and ll.count('.')!=4 and lll.count('#')!=4 and lll.count('.')!=4 and llll.count('#')!=4 and llll.count('.')!=4 :
print("NO")
else:
print("YES ")
| Title: IQ Test
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
In the city of Ultima Thule job applicants are often offered an IQ test.
The test is as follows: the person gets a piece of squared paper with a 4<=×<=4 square painted on it. Some of the square's cells are painted black and others are painted white. Your task is to repaint at most one cell the other color so that the picture has a 2<=×<=2 square, completely consisting of cells of the same color. If the initial picture already has such a square, the person should just say so and the test will be completed.
Your task is to write a program that determines whether it is possible to pass the test. You cannot pass the test if either repainting any cell or no action doesn't result in a 2<=×<=2 square, consisting of cells of the same color.
Input Specification:
Four lines contain four characters each: the *j*-th character of the *i*-th line equals "." if the cell in the *i*-th row and the *j*-th column of the square is painted white, and "#", if the cell is black.
Output Specification:
Print "YES" (without the quotes), if the test can be passed and "NO" (without the quotes) otherwise.
Demo Input:
['####\n.#..\n####\n....\n', '####\n....\n####\n....\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first test sample it is enough to repaint the first cell in the second row. After such repainting the required 2 × 2 square is on the intersection of the 1-st and 2-nd row with the 1-st and 2-nd column. | ```python
s=input()
ss=input()
sss=input()
ssss=input()
l=s+ss+sss+ssss
ll=s+ss
lll=ss+sss
llll=sss+ssss
if l.count('#')==l.count('.') and ll.count('#')!=4 and ll.count('.')!=4 and lll.count('#')!=4 and lll.count('.')!=4 and llll.count('#')!=4 and llll.count('.')!=4 :
print("NO")
else:
print("YES ")
``` | 0 | |
732 | A | Buy a Shovel | PROGRAMMING | 800 | [
"brute force",
"constructive algorithms",
"implementation",
"math"
] | null | null | Polycarp urgently needs a shovel! He comes to the shop and chooses an appropriate one. The shovel that Policarp chooses is sold for *k* burles. Assume that there is an unlimited number of such shovels in the shop.
In his pocket Polycarp has an unlimited number of "10-burle coins" and exactly one coin of *r* burles (1<=≤<=*r*<=≤<=9).
What is the minimum number of shovels Polycarp has to buy so that he can pay for the purchase without any change? It is obvious that he can pay for 10 shovels without any change (by paying the requied amount of 10-burle coins and not using the coin of *r* burles). But perhaps he can buy fewer shovels and pay without any change. Note that Polycarp should buy at least one shovel. | The single line of input contains two integers *k* and *r* (1<=≤<=*k*<=≤<=1000, 1<=≤<=*r*<=≤<=9) — the price of one shovel and the denomination of the coin in Polycarp's pocket that is different from "10-burle coins".
Remember that he has an unlimited number of coins in the denomination of 10, that is, Polycarp has enough money to buy any number of shovels. | Print the required minimum number of shovels Polycarp has to buy so that he can pay for them without any change. | [
"117 3\n",
"237 7\n",
"15 2\n"
] | [
"9\n",
"1\n",
"2\n"
] | In the first example Polycarp can buy 9 shovels and pay 9·117 = 1053 burles. Indeed, he can pay this sum by using 10-burle coins and one 3-burle coin. He can't buy fewer shovels without any change.
In the second example it is enough for Polycarp to buy one shovel.
In the third example Polycarp should buy two shovels and pay 2·15 = 30 burles. It is obvious that he can pay this sum without any change. | 500 | [
{
"input": "117 3",
"output": "9"
},
{
"input": "237 7",
"output": "1"
},
{
"input": "15 2",
"output": "2"
},
{
"input": "1 1",
"output": "1"
},
{
"input": "1 9",
"output": "9"
},
{
"input": "1000 3",
"output": "1"
},
{
"input": "1000 1",
... | 1,680,876,609 | 2,147,483,647 | PyPy 3-64 | OK | TESTS | 54 | 62 | 0 | k,r = map(int, input().split(' '))
for i in range(1,10):
n = k * i
l=str(n)
if int(l[-1]) == r or int(l[-1]) == 0:
print(i)
break | Title: Buy a Shovel
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Polycarp urgently needs a shovel! He comes to the shop and chooses an appropriate one. The shovel that Policarp chooses is sold for *k* burles. Assume that there is an unlimited number of such shovels in the shop.
In his pocket Polycarp has an unlimited number of "10-burle coins" and exactly one coin of *r* burles (1<=≤<=*r*<=≤<=9).
What is the minimum number of shovels Polycarp has to buy so that he can pay for the purchase without any change? It is obvious that he can pay for 10 shovels without any change (by paying the requied amount of 10-burle coins and not using the coin of *r* burles). But perhaps he can buy fewer shovels and pay without any change. Note that Polycarp should buy at least one shovel.
Input Specification:
The single line of input contains two integers *k* and *r* (1<=≤<=*k*<=≤<=1000, 1<=≤<=*r*<=≤<=9) — the price of one shovel and the denomination of the coin in Polycarp's pocket that is different from "10-burle coins".
Remember that he has an unlimited number of coins in the denomination of 10, that is, Polycarp has enough money to buy any number of shovels.
Output Specification:
Print the required minimum number of shovels Polycarp has to buy so that he can pay for them without any change.
Demo Input:
['117 3\n', '237 7\n', '15 2\n']
Demo Output:
['9\n', '1\n', '2\n']
Note:
In the first example Polycarp can buy 9 shovels and pay 9·117 = 1053 burles. Indeed, he can pay this sum by using 10-burle coins and one 3-burle coin. He can't buy fewer shovels without any change.
In the second example it is enough for Polycarp to buy one shovel.
In the third example Polycarp should buy two shovels and pay 2·15 = 30 burles. It is obvious that he can pay this sum without any change. | ```python
k,r = map(int, input().split(' '))
for i in range(1,10):
n = k * i
l=str(n)
if int(l[-1]) == r or int(l[-1]) == 0:
print(i)
break
``` | 3 | |
740 | A | Alyona and copybooks | PROGRAMMING | 1,300 | [
"brute force",
"implementation"
] | null | null | Little girl Alyona is in a shop to buy some copybooks for school. She study four subjects so she wants to have equal number of copybooks for each of the subjects. There are three types of copybook's packs in the shop: it is possible to buy one copybook for *a* rubles, a pack of two copybooks for *b* rubles, and a pack of three copybooks for *c* rubles. Alyona already has *n* copybooks.
What is the minimum amount of rubles she should pay to buy such number of copybooks *k* that *n*<=+<=*k* is divisible by 4? There are infinitely many packs of any type in the shop. Alyona can buy packs of different type in the same purchase. | The only line contains 4 integers *n*, *a*, *b*, *c* (1<=≤<=*n*,<=*a*,<=*b*,<=*c*<=≤<=109). | Print the minimum amount of rubles she should pay to buy such number of copybooks *k* that *n*<=+<=*k* is divisible by 4. | [
"1 1 3 4\n",
"6 2 1 1\n",
"4 4 4 4\n",
"999999999 1000000000 1000000000 1000000000\n"
] | [
"3\n",
"1\n",
"0\n",
"1000000000\n"
] | In the first example Alyona can buy 3 packs of 1 copybook for 3*a* = 3 rubles in total. After that she will have 4 copybooks which she can split between the subjects equally.
In the second example Alyuna can buy a pack of 2 copybooks for *b* = 1 ruble. She will have 8 copybooks in total.
In the third example Alyona can split the copybooks she already has between the 4 subject equally, so she doesn't need to buy anything.
In the fourth example Alyona should buy one pack of one copybook. | 500 | [
{
"input": "1 1 3 4",
"output": "3"
},
{
"input": "6 2 1 1",
"output": "1"
},
{
"input": "4 4 4 4",
"output": "0"
},
{
"input": "999999999 1000000000 1000000000 1000000000",
"output": "1000000000"
},
{
"input": "1016 3 2 1",
"output": "0"
},
{
"input":... | 1,694,333,667 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 20 | 46 | 0 | n,a,b,c=map(int,input().split())
x=min(a,min(b,c))
# print(n%4)
if n%4==0:
print(0)
elif n%4==1:
print(min(3*a,min(a+b,c)))
elif n%4==2:
print(min(a+a,min(b, c+c)))
else:
print(a)
| Title: Alyona and copybooks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little girl Alyona is in a shop to buy some copybooks for school. She study four subjects so she wants to have equal number of copybooks for each of the subjects. There are three types of copybook's packs in the shop: it is possible to buy one copybook for *a* rubles, a pack of two copybooks for *b* rubles, and a pack of three copybooks for *c* rubles. Alyona already has *n* copybooks.
What is the minimum amount of rubles she should pay to buy such number of copybooks *k* that *n*<=+<=*k* is divisible by 4? There are infinitely many packs of any type in the shop. Alyona can buy packs of different type in the same purchase.
Input Specification:
The only line contains 4 integers *n*, *a*, *b*, *c* (1<=≤<=*n*,<=*a*,<=*b*,<=*c*<=≤<=109).
Output Specification:
Print the minimum amount of rubles she should pay to buy such number of copybooks *k* that *n*<=+<=*k* is divisible by 4.
Demo Input:
['1 1 3 4\n', '6 2 1 1\n', '4 4 4 4\n', '999999999 1000000000 1000000000 1000000000\n']
Demo Output:
['3\n', '1\n', '0\n', '1000000000\n']
Note:
In the first example Alyona can buy 3 packs of 1 copybook for 3*a* = 3 rubles in total. After that she will have 4 copybooks which she can split between the subjects equally.
In the second example Alyuna can buy a pack of 2 copybooks for *b* = 1 ruble. She will have 8 copybooks in total.
In the third example Alyona can split the copybooks she already has between the 4 subject equally, so she doesn't need to buy anything.
In the fourth example Alyona should buy one pack of one copybook. | ```python
n,a,b,c=map(int,input().split())
x=min(a,min(b,c))
# print(n%4)
if n%4==0:
print(0)
elif n%4==1:
print(min(3*a,min(a+b,c)))
elif n%4==2:
print(min(a+a,min(b, c+c)))
else:
print(a)
``` | 0 | |
20 | C | Dijkstra? | PROGRAMMING | 1,900 | [
"graphs",
"shortest paths"
] | C. Dijkstra? | 1 | 64 | You are given a weighted undirected graph. The vertices are enumerated from 1 to *n*. Your task is to find the shortest path between the vertex 1 and the vertex *n*. | The first line contains two integers *n* and *m* (2<=≤<=*n*<=≤<=105,<=0<=≤<=*m*<=≤<=105), where *n* is the number of vertices and *m* is the number of edges. Following *m* lines contain one edge each in form *a**i*, *b**i* and *w**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=1<=≤<=*w**i*<=≤<=106), where *a**i*,<=*b**i* are edge endpoints and *w**i* is the length of the edge.
It is possible that the graph has loops and multiple edges between pair of vertices. | Write the only integer -1 in case of no path. Write the shortest path in opposite case. If there are many solutions, print any of them. | [
"5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1\n",
"5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1\n"
] | [
"1 4 3 5 ",
"1 4 3 5 "
] | none | 1,500 | [
{
"input": "5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1",
"output": "1 4 3 5 "
},
{
"input": "5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1",
"output": "1 4 3 5 "
},
{
"input": "2 1\n1 2 1",
"output": "1 2 "
},
{
"input": "3 1\n1 2 1",
"output": "-1"
},
{
"input... | 1,641,159,549 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 3 | 1,000 | 512,000 | from heapq import *
import sys
input = sys.stdin.readline
n, m = map(int, input().split())
e = [[] for i in range(n+1)]
for i in range(m):
a, b, w = map(int, input().split())
e[a].append((b,w))
e[b].append((a,w))
a = []
heapify(a)
heappush(a, (0, [1]))
while a:
w, h = heappop(a)
v = h[-1]
if v == n:
print(*h)
break
for nd, wt in e[v]:
heappush(a, (w+wt, h+[nd]))
else:
print(-1)
| Title: Dijkstra?
Time Limit: 1 seconds
Memory Limit: 64 megabytes
Problem Description:
You are given a weighted undirected graph. The vertices are enumerated from 1 to *n*. Your task is to find the shortest path between the vertex 1 and the vertex *n*.
Input Specification:
The first line contains two integers *n* and *m* (2<=≤<=*n*<=≤<=105,<=0<=≤<=*m*<=≤<=105), where *n* is the number of vertices and *m* is the number of edges. Following *m* lines contain one edge each in form *a**i*, *b**i* and *w**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=1<=≤<=*w**i*<=≤<=106), where *a**i*,<=*b**i* are edge endpoints and *w**i* is the length of the edge.
It is possible that the graph has loops and multiple edges between pair of vertices.
Output Specification:
Write the only integer -1 in case of no path. Write the shortest path in opposite case. If there are many solutions, print any of them.
Demo Input:
['5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1\n', '5 6\n1 2 2\n2 5 5\n2 3 4\n1 4 1\n4 3 3\n3 5 1\n']
Demo Output:
['1 4 3 5 ', '1 4 3 5 ']
Note:
none | ```python
from heapq import *
import sys
input = sys.stdin.readline
n, m = map(int, input().split())
e = [[] for i in range(n+1)]
for i in range(m):
a, b, w = map(int, input().split())
e[a].append((b,w))
e[b].append((a,w))
a = []
heapify(a)
heappush(a, (0, [1]))
while a:
w, h = heappop(a)
v = h[-1]
if v == n:
print(*h)
break
for nd, wt in e[v]:
heappush(a, (w+wt, h+[nd]))
else:
print(-1)
``` | 0 |
343 | B | Alternating Current | PROGRAMMING | 1,600 | [
"data structures",
"greedy",
"implementation"
] | null | null | Mad scientist Mike has just finished constructing a new device to search for extraterrestrial intelligence! He was in such a hurry to launch it for the first time that he plugged in the power wires without giving it a proper glance and started experimenting right away. After a while Mike observed that the wires ended up entangled and now have to be untangled again.
The device is powered by two wires "plus" and "minus". The wires run along the floor from the wall (on the left) to the device (on the right). Both the wall and the device have two contacts in them on the same level, into which the wires are plugged in some order. The wires are considered entangled if there are one or more places where one wire runs above the other one. For example, the picture below has four such places (top view):
Mike knows the sequence in which the wires run above each other. Mike also noticed that on the left side, the "plus" wire is always plugged into the top contact (as seen on the picture). He would like to untangle the wires without unplugging them and without moving the device. Determine if it is possible to do that. A wire can be freely moved and stretched on the floor, but cannot be cut.
To understand the problem better please read the notes to the test samples. | The single line of the input contains a sequence of characters "+" and "-" of length *n* (1<=≤<=*n*<=≤<=100000). The *i*-th (1<=≤<=*i*<=≤<=*n*) position of the sequence contains the character "+", if on the *i*-th step from the wall the "plus" wire runs above the "minus" wire, and the character "-" otherwise. | Print either "Yes" (without the quotes) if the wires can be untangled or "No" (without the quotes) if the wires cannot be untangled. | [
"-++-\n",
"+-\n",
"++\n",
"-\n"
] | [
"Yes\n",
"No\n",
"Yes\n",
"No\n"
] | The first testcase corresponds to the picture in the statement. To untangle the wires, one can first move the "plus" wire lower, thus eliminating the two crosses in the middle, and then draw it under the "minus" wire, eliminating also the remaining two crosses.
In the second testcase the "plus" wire makes one full revolution around the "minus" wire. Thus the wires cannot be untangled:
In the third testcase the "plus" wire simply runs above the "minus" wire twice in sequence. The wires can be untangled by lifting "plus" and moving it higher:
In the fourth testcase the "minus" wire runs above the "plus" wire once. The wires cannot be untangled without moving the device itself: | 1,000 | [
{
"input": "-++-",
"output": "Yes"
},
{
"input": "+-",
"output": "No"
},
{
"input": "++",
"output": "Yes"
},
{
"input": "-",
"output": "No"
},
{
"input": "+-+-",
"output": "No"
},
{
"input": "-+-",
"output": "No"
},
{
"input": "-++-+--+",
... | 1,561,218,717 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 156 | 0 | x = input()
stk1 = []
for i in x:
if stk1 == []:
stk1.append(i)
else:
if stk1[-1] == i:
stk1.pop()
else :
stk1.append(i)
print(stk1) | Title: Alternating Current
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Mad scientist Mike has just finished constructing a new device to search for extraterrestrial intelligence! He was in such a hurry to launch it for the first time that he plugged in the power wires without giving it a proper glance and started experimenting right away. After a while Mike observed that the wires ended up entangled and now have to be untangled again.
The device is powered by two wires "plus" and "minus". The wires run along the floor from the wall (on the left) to the device (on the right). Both the wall and the device have two contacts in them on the same level, into which the wires are plugged in some order. The wires are considered entangled if there are one or more places where one wire runs above the other one. For example, the picture below has four such places (top view):
Mike knows the sequence in which the wires run above each other. Mike also noticed that on the left side, the "plus" wire is always plugged into the top contact (as seen on the picture). He would like to untangle the wires without unplugging them and without moving the device. Determine if it is possible to do that. A wire can be freely moved and stretched on the floor, but cannot be cut.
To understand the problem better please read the notes to the test samples.
Input Specification:
The single line of the input contains a sequence of characters "+" and "-" of length *n* (1<=≤<=*n*<=≤<=100000). The *i*-th (1<=≤<=*i*<=≤<=*n*) position of the sequence contains the character "+", if on the *i*-th step from the wall the "plus" wire runs above the "minus" wire, and the character "-" otherwise.
Output Specification:
Print either "Yes" (without the quotes) if the wires can be untangled or "No" (without the quotes) if the wires cannot be untangled.
Demo Input:
['-++-\n', '+-\n', '++\n', '-\n']
Demo Output:
['Yes\n', 'No\n', 'Yes\n', 'No\n']
Note:
The first testcase corresponds to the picture in the statement. To untangle the wires, one can first move the "plus" wire lower, thus eliminating the two crosses in the middle, and then draw it under the "minus" wire, eliminating also the remaining two crosses.
In the second testcase the "plus" wire makes one full revolution around the "minus" wire. Thus the wires cannot be untangled:
In the third testcase the "plus" wire simply runs above the "minus" wire twice in sequence. The wires can be untangled by lifting "plus" and moving it higher:
In the fourth testcase the "minus" wire runs above the "plus" wire once. The wires cannot be untangled without moving the device itself: | ```python
x = input()
stk1 = []
for i in x:
if stk1 == []:
stk1.append(i)
else:
if stk1[-1] == i:
stk1.pop()
else :
stk1.append(i)
print(stk1)
``` | 0 | |
158 | A | Next Round | PROGRAMMING | 800 | [
"*special",
"implementation"
] | null | null | "Contestant who earns a score equal to or greater than the *k*-th place finisher's score will advance to the next round, as long as the contestant earns a positive score..." — an excerpt from contest rules.
A total of *n* participants took part in the contest (*n*<=≥<=*k*), and you already know their scores. Calculate how many participants will advance to the next round. | The first line of the input contains two integers *n* and *k* (1<=≤<=*k*<=≤<=*n*<=≤<=50) separated by a single space.
The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=100), where *a**i* is the score earned by the participant who got the *i*-th place. The given sequence is non-increasing (that is, for all *i* from 1 to *n*<=-<=1 the following condition is fulfilled: *a**i*<=≥<=*a**i*<=+<=1). | Output the number of participants who advance to the next round. | [
"8 5\n10 9 8 7 7 7 5 5\n",
"4 2\n0 0 0 0\n"
] | [
"6\n",
"0\n"
] | In the first example the participant on the 5th place earned 7 points. As the participant on the 6th place also earned 7 points, there are 6 advancers.
In the second example nobody got a positive score. | 500 | [
{
"input": "8 5\n10 9 8 7 7 7 5 5",
"output": "6"
},
{
"input": "4 2\n0 0 0 0",
"output": "0"
},
{
"input": "5 1\n1 1 1 1 1",
"output": "5"
},
{
"input": "5 5\n1 1 1 1 1",
"output": "5"
},
{
"input": "1 1\n10",
"output": "1"
},
{
"input": "17 14\n16 15... | 1,696,586,040 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 60 | 0 | a,b = map(int,input().split())
l = [int(x) for x in input().split()]
c = 0
for i in l:
if i > b:
c = c + 1
print(c)
| Title: Next Round
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
"Contestant who earns a score equal to or greater than the *k*-th place finisher's score will advance to the next round, as long as the contestant earns a positive score..." — an excerpt from contest rules.
A total of *n* participants took part in the contest (*n*<=≥<=*k*), and you already know their scores. Calculate how many participants will advance to the next round.
Input Specification:
The first line of the input contains two integers *n* and *k* (1<=≤<=*k*<=≤<=*n*<=≤<=50) separated by a single space.
The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=100), where *a**i* is the score earned by the participant who got the *i*-th place. The given sequence is non-increasing (that is, for all *i* from 1 to *n*<=-<=1 the following condition is fulfilled: *a**i*<=≥<=*a**i*<=+<=1).
Output Specification:
Output the number of participants who advance to the next round.
Demo Input:
['8 5\n10 9 8 7 7 7 5 5\n', '4 2\n0 0 0 0\n']
Demo Output:
['6\n', '0\n']
Note:
In the first example the participant on the 5th place earned 7 points. As the participant on the 6th place also earned 7 points, there are 6 advancers.
In the second example nobody got a positive score. | ```python
a,b = map(int,input().split())
l = [int(x) for x in input().split()]
c = 0
for i in l:
if i > b:
c = c + 1
print(c)
``` | 0 | |
518 | B | Tanya and Postcard | PROGRAMMING | 1,400 | [
"greedy",
"implementation",
"strings"
] | null | null | Little Tanya decided to present her dad a postcard on his Birthday. She has already created a message — string *s* of length *n*, consisting of uppercase and lowercase English letters. Tanya can't write yet, so she found a newspaper and decided to cut out the letters and glue them into the postcard to achieve string *s*. The newspaper contains string *t*, consisting of uppercase and lowercase English letters. We know that the length of string *t* greater or equal to the length of the string *s*.
The newspaper may possibly have too few of some letters needed to make the text and too many of some other letters. That's why Tanya wants to cut some *n* letters out of the newspaper and make a message of length exactly *n*, so that it looked as much as possible like *s*. If the letter in some position has correct value and correct letter case (in the string *s* and in the string that Tanya will make), then she shouts joyfully "YAY!", and if the letter in the given position has only the correct value but it is in the wrong case, then the girl says "WHOOPS".
Tanya wants to make such message that lets her shout "YAY!" as much as possible. If there are multiple ways to do this, then her second priority is to maximize the number of times she says "WHOOPS". Your task is to help Tanya make the message. | The first line contains line *s* (1<=≤<=|*s*|<=≤<=2·105), consisting of uppercase and lowercase English letters — the text of Tanya's message.
The second line contains line *t* (|*s*|<=≤<=|*t*|<=≤<=2·105), consisting of uppercase and lowercase English letters — the text written in the newspaper.
Here |*a*| means the length of the string *a*. | Print two integers separated by a space:
- the first number is the number of times Tanya shouts "YAY!" while making the message, - the second number is the number of times Tanya says "WHOOPS" while making the message. | [
"AbC\nDCbA\n",
"ABC\nabc\n",
"abacaba\nAbaCaBA\n"
] | [
"3 0\n",
"0 3\n",
"3 4\n"
] | none | 1,000 | [
{
"input": "AbC\nDCbA",
"output": "3 0"
},
{
"input": "ABC\nabc",
"output": "0 3"
},
{
"input": "abacaba\nAbaCaBA",
"output": "3 4"
},
{
"input": "zzzzz\nZZZZZ",
"output": "0 5"
},
{
"input": "zzzZZZ\nZZZzzZ",
"output": "5 1"
},
{
"input": "abcdefghijk... | 1,588,460,204 | 2,147,483,647 | Python 3 | OK | TESTS | 49 | 202 | 1,331,200 | r=input()
h=input()
r_dic = {}
h_dic = {}
for c in r:
h_dic[c] = 0
if c in r_dic:
r_dic[c]+=1
else:
r_dic[c]=1
for c in h:
if c in h_dic:
h_dic[c]+=1
else:
h_dic[c]=1
y = 0
o = 0
for k,v in r_dic.items():
if r_dic[k]>h_dic[k]:
r_dic[k] -= h_dic[k]
y += h_dic[k]
h_dic[k] = 0
elif r_dic[k]<h_dic[k]:
h_dic[k] -= r_dic[k]
y += r_dic[k]
r_dic[k] = 0
else:
y += r_dic[k]
r_dic[k] = 0
h_dic[k] = 0
for k,v in r_dic.items():
if r_dic[k]>0:
k_t = k
if k_t.islower():
tmep_k = k_t.upper()
else:
tmep_k = k_t.lower()
if tmep_k in h_dic:
if r_dic[k] < h_dic[tmep_k]:
o+=r_dic[k]
h_dic[tmep_k] -=r_dic[k]
r_dic[k] = 0
elif r_dic[k] > h_dic[tmep_k]:
o+=h_dic[tmep_k]
r_dic[k] -=h_dic[tmep_k]
h_dic[tmep_k] = 0
else:
o+=r_dic[k]
r_dic[k] = 0
h_dic[tmep_k] = 0
print(y , end=" ")
print(o , end=" ") | Title: Tanya and Postcard
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Little Tanya decided to present her dad a postcard on his Birthday. She has already created a message — string *s* of length *n*, consisting of uppercase and lowercase English letters. Tanya can't write yet, so she found a newspaper and decided to cut out the letters and glue them into the postcard to achieve string *s*. The newspaper contains string *t*, consisting of uppercase and lowercase English letters. We know that the length of string *t* greater or equal to the length of the string *s*.
The newspaper may possibly have too few of some letters needed to make the text and too many of some other letters. That's why Tanya wants to cut some *n* letters out of the newspaper and make a message of length exactly *n*, so that it looked as much as possible like *s*. If the letter in some position has correct value and correct letter case (in the string *s* and in the string that Tanya will make), then she shouts joyfully "YAY!", and if the letter in the given position has only the correct value but it is in the wrong case, then the girl says "WHOOPS".
Tanya wants to make such message that lets her shout "YAY!" as much as possible. If there are multiple ways to do this, then her second priority is to maximize the number of times she says "WHOOPS". Your task is to help Tanya make the message.
Input Specification:
The first line contains line *s* (1<=≤<=|*s*|<=≤<=2·105), consisting of uppercase and lowercase English letters — the text of Tanya's message.
The second line contains line *t* (|*s*|<=≤<=|*t*|<=≤<=2·105), consisting of uppercase and lowercase English letters — the text written in the newspaper.
Here |*a*| means the length of the string *a*.
Output Specification:
Print two integers separated by a space:
- the first number is the number of times Tanya shouts "YAY!" while making the message, - the second number is the number of times Tanya says "WHOOPS" while making the message.
Demo Input:
['AbC\nDCbA\n', 'ABC\nabc\n', 'abacaba\nAbaCaBA\n']
Demo Output:
['3 0\n', '0 3\n', '3 4\n']
Note:
none | ```python
r=input()
h=input()
r_dic = {}
h_dic = {}
for c in r:
h_dic[c] = 0
if c in r_dic:
r_dic[c]+=1
else:
r_dic[c]=1
for c in h:
if c in h_dic:
h_dic[c]+=1
else:
h_dic[c]=1
y = 0
o = 0
for k,v in r_dic.items():
if r_dic[k]>h_dic[k]:
r_dic[k] -= h_dic[k]
y += h_dic[k]
h_dic[k] = 0
elif r_dic[k]<h_dic[k]:
h_dic[k] -= r_dic[k]
y += r_dic[k]
r_dic[k] = 0
else:
y += r_dic[k]
r_dic[k] = 0
h_dic[k] = 0
for k,v in r_dic.items():
if r_dic[k]>0:
k_t = k
if k_t.islower():
tmep_k = k_t.upper()
else:
tmep_k = k_t.lower()
if tmep_k in h_dic:
if r_dic[k] < h_dic[tmep_k]:
o+=r_dic[k]
h_dic[tmep_k] -=r_dic[k]
r_dic[k] = 0
elif r_dic[k] > h_dic[tmep_k]:
o+=h_dic[tmep_k]
r_dic[k] -=h_dic[tmep_k]
h_dic[tmep_k] = 0
else:
o+=r_dic[k]
r_dic[k] = 0
h_dic[tmep_k] = 0
print(y , end=" ")
print(o , end=" ")
``` | 3 | |
122 | A | Lucky Division | PROGRAMMING | 1,000 | [
"brute force",
"number theory"
] | null | null | Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number *n* is almost lucky. | The single line contains an integer *n* (1<=≤<=*n*<=≤<=1000) — the number that needs to be checked. | In the only line print "YES" (without the quotes), if number *n* is almost lucky. Otherwise, print "NO" (without the quotes). | [
"47\n",
"16\n",
"78\n"
] | [
"YES\n",
"YES\n",
"NO\n"
] | Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | 500 | [
{
"input": "47",
"output": "YES"
},
{
"input": "16",
"output": "YES"
},
{
"input": "78",
"output": "NO"
},
{
"input": "48",
"output": "YES"
},
{
"input": "100",
"output": "YES"
},
{
"input": "107",
"output": "NO"
},
{
"input": "77",
"ou... | 1,694,784,793 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 25 | 92 | 0 | n = int(input())
ln = [4, 7, 44, 47, 74, 77, 444, 447, 474, 477, 744, 747, 774, 777]
if n in ln or n%4==0 or n%7==0:
print("YES")
else:
print("NO") | Title: Lucky Division
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Petya loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya calls a number almost lucky if it could be evenly divided by some lucky number. Help him find out if the given number *n* is almost lucky.
Input Specification:
The single line contains an integer *n* (1<=≤<=*n*<=≤<=1000) — the number that needs to be checked.
Output Specification:
In the only line print "YES" (without the quotes), if number *n* is almost lucky. Otherwise, print "NO" (without the quotes).
Demo Input:
['47\n', '16\n', '78\n']
Demo Output:
['YES\n', 'YES\n', 'NO\n']
Note:
Note that all lucky numbers are almost lucky as any number is evenly divisible by itself.
In the first sample 47 is a lucky number. In the second sample 16 is divisible by 4. | ```python
n = int(input())
ln = [4, 7, 44, 47, 74, 77, 444, 447, 474, 477, 744, 747, 774, 777]
if n in ln or n%4==0 or n%7==0:
print("YES")
else:
print("NO")
``` | 0 | |
204 | A | Little Elephant and Interval | PROGRAMMING | 1,500 | [
"binary search",
"combinatorics",
"dp"
] | null | null | The Little Elephant very much loves sums on intervals.
This time he has a pair of integers *l* and *r* (*l*<=≤<=*r*). The Little Elephant has to find the number of such integers *x* (*l*<=≤<=*x*<=≤<=*r*), that the first digit of integer *x* equals the last one (in decimal notation). For example, such numbers as 101, 477474 or 9 will be included in the answer and 47, 253 or 1020 will not.
Help him and count the number of described numbers *x* for a given pair *l* and *r*. | The single line contains a pair of integers *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=1018) — the boundaries of the interval.
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier. | On a single line print a single integer — the answer to the problem. | [
"2 47\n",
"47 1024\n"
] | [
"12\n",
"98\n"
] | In the first sample the answer includes integers 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44. | 500 | [
{
"input": "2 47",
"output": "12"
},
{
"input": "47 1024",
"output": "98"
},
{
"input": "1 1000",
"output": "108"
},
{
"input": "1 10000",
"output": "1008"
},
{
"input": "47 8545",
"output": "849"
},
{
"input": "1000 1000",
"output": "0"
},
{
... | 1,495,248,172 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 92 | 0 | def get_digit(n):
return(len(str(n)))
def get_last(n):
return n % 10
def get_fisrt(n):
m = str(n)
return int(m[0])
def get_mid(n):
m = str(n)
return int(m[1:(len(m) - 1)])
def f(n):
if(n < 10):
return n
d = get_digit(n)
la = get_last(n)
fi = get_fisrt(n)
m = get_mid(n)
ans = 0
for i in range(0, d - 1):
for j in range(1, 10):
if(i < d - 2):
ans += 10 ** i
else:
if(j < fi):
ans += 10 ** i
elif(j == fi):
ans += m
if(j <= la):
ans += 1
return ans + 9
def main():
l, r = list(map(int, input().split()))
print(f(r) - f(l - 1))
main()
| Title: Little Elephant and Interval
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Little Elephant very much loves sums on intervals.
This time he has a pair of integers *l* and *r* (*l*<=≤<=*r*). The Little Elephant has to find the number of such integers *x* (*l*<=≤<=*x*<=≤<=*r*), that the first digit of integer *x* equals the last one (in decimal notation). For example, such numbers as 101, 477474 or 9 will be included in the answer and 47, 253 or 1020 will not.
Help him and count the number of described numbers *x* for a given pair *l* and *r*.
Input Specification:
The single line contains a pair of integers *l* and *r* (1<=≤<=*l*<=≤<=*r*<=≤<=1018) — the boundaries of the interval.
Please, do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier.
Output Specification:
On a single line print a single integer — the answer to the problem.
Demo Input:
['2 47\n', '47 1024\n']
Demo Output:
['12\n', '98\n']
Note:
In the first sample the answer includes integers 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44. | ```python
def get_digit(n):
return(len(str(n)))
def get_last(n):
return n % 10
def get_fisrt(n):
m = str(n)
return int(m[0])
def get_mid(n):
m = str(n)
return int(m[1:(len(m) - 1)])
def f(n):
if(n < 10):
return n
d = get_digit(n)
la = get_last(n)
fi = get_fisrt(n)
m = get_mid(n)
ans = 0
for i in range(0, d - 1):
for j in range(1, 10):
if(i < d - 2):
ans += 10 ** i
else:
if(j < fi):
ans += 10 ** i
elif(j == fi):
ans += m
if(j <= la):
ans += 1
return ans + 9
def main():
l, r = list(map(int, input().split()))
print(f(r) - f(l - 1))
main()
``` | -1 | |
61 | A | Ultra-Fast Mathematician | PROGRAMMING | 800 | [
"implementation"
] | A. Ultra-Fast Mathematician | 2 | 256 | Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate. | There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100. | Write one line — the corresponding answer. Do not omit the leading 0s. | [
"1010100\n0100101\n",
"000\n111\n",
"1110\n1010\n",
"01110\n01100\n"
] | [
"1110001\n",
"111\n",
"0100\n",
"00010\n"
] | none | 500 | [
{
"input": "1010100\n0100101",
"output": "1110001"
},
{
"input": "000\n111",
"output": "111"
},
{
"input": "1110\n1010",
"output": "0100"
},
{
"input": "01110\n01100",
"output": "00010"
},
{
"input": "011101\n000001",
"output": "011100"
},
{
"input": "... | 1,607,099,628 | 2,147,483,647 | Python 3 | OK | TESTS | 102 | 109 | 307,200 | a=input()
b=input()
c=[]
d=[]
r=[]
for i in range(len(a)):
c.append(a[i])
for i in range(len(b)):
d.append(b[i])
for i in range(len(c)):
for j in range(len(d)):
if i==j:
if c[i]==d[j]:
r.append(0)
else:
r.append(1)
print("".join(str(x) for x in r)) | Title: Ultra-Fast Mathematician
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate.
Input Specification:
There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100.
Output Specification:
Write one line — the corresponding answer. Do not omit the leading 0s.
Demo Input:
['1010100\n0100101\n', '000\n111\n', '1110\n1010\n', '01110\n01100\n']
Demo Output:
['1110001\n', '111\n', '0100\n', '00010\n']
Note:
none | ```python
a=input()
b=input()
c=[]
d=[]
r=[]
for i in range(len(a)):
c.append(a[i])
for i in range(len(b)):
d.append(b[i])
for i in range(len(c)):
for j in range(len(d)):
if i==j:
if c[i]==d[j]:
r.append(0)
else:
r.append(1)
print("".join(str(x) for x in r))
``` | 3.972178 |
361 | A | Levko and Table | PROGRAMMING | 800 | [
"constructive algorithms",
"implementation"
] | null | null | Levko loves tables that consist of *n* rows and *n* columns very much. He especially loves beautiful tables. A table is beautiful to Levko if the sum of elements in each row and column of the table equals *k*.
Unfortunately, he doesn't know any such table. Your task is to help him to find at least one of them. | The single line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=1000). | Print any beautiful table. Levko doesn't like too big numbers, so all elements of the table mustn't exceed 1000 in their absolute value.
If there are multiple suitable tables, you are allowed to print any of them. | [
"2 4\n",
"4 7\n"
] | [
"1 3\n3 1\n",
"2 1 0 4\n4 0 2 1\n1 3 3 0\n0 3 2 2\n"
] | In the first sample the sum in the first row is 1 + 3 = 4, in the second row — 3 + 1 = 4, in the first column — 1 + 3 = 4 and in the second column — 3 + 1 = 4. There are other beautiful tables for this sample.
In the second sample the sum of elements in each row and each column equals 7. Besides, there are other tables that meet the statement requirements. | 500 | [
{
"input": "2 4",
"output": "4 0 \n0 4 "
},
{
"input": "4 7",
"output": "7 0 0 0 \n0 7 0 0 \n0 0 7 0 \n0 0 0 7 "
},
{
"input": "1 8",
"output": "8 "
},
{
"input": "9 3",
"output": "3 0 0 0 0 0 0 0 0 \n0 3 0 0 0 0 0 0 0 \n0 0 3 0 0 0 0 0 0 \n0 0 0 3 0 0 0 0 0 \n0 0 0 0 3 0... | 1,399,210,809 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 0 | 46 | 0 | N, M = map(int, input().split())
M = [(i == j) * M for i in range(N) for j in range(N)]
for i in range(N):
for j in range(N):
print(M[i][j]) | Title: Levko and Table
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Levko loves tables that consist of *n* rows and *n* columns very much. He especially loves beautiful tables. A table is beautiful to Levko if the sum of elements in each row and column of the table equals *k*.
Unfortunately, he doesn't know any such table. Your task is to help him to find at least one of them.
Input Specification:
The single line contains two integers, *n* and *k* (1<=≤<=*n*<=≤<=100, 1<=≤<=*k*<=≤<=1000).
Output Specification:
Print any beautiful table. Levko doesn't like too big numbers, so all elements of the table mustn't exceed 1000 in their absolute value.
If there are multiple suitable tables, you are allowed to print any of them.
Demo Input:
['2 4\n', '4 7\n']
Demo Output:
['1 3\n3 1\n', '2 1 0 4\n4 0 2 1\n1 3 3 0\n0 3 2 2\n']
Note:
In the first sample the sum in the first row is 1 + 3 = 4, in the second row — 3 + 1 = 4, in the first column — 1 + 3 = 4 and in the second column — 3 + 1 = 4. There are other beautiful tables for this sample.
In the second sample the sum of elements in each row and each column equals 7. Besides, there are other tables that meet the statement requirements. | ```python
N, M = map(int, input().split())
M = [(i == j) * M for i in range(N) for j in range(N)]
for i in range(N):
for j in range(N):
print(M[i][j])
``` | -1 | |
884 | B | Japanese Crosswords Strike Back | PROGRAMMING | 1,100 | [
"implementation"
] | null | null | A one-dimensional Japanese crossword can be represented as a binary string of length *x*. An encoding of this crossword is an array *a* of size *n*, where *n* is the number of segments formed completely of 1's, and *a**i* is the length of *i*-th segment. No two segments touch or intersect.
For example:
- If *x*<==<=6 and the crossword is 111011, then its encoding is an array {3,<=2}; - If *x*<==<=8 and the crossword is 01101010, then its encoding is an array {2,<=1,<=1}; - If *x*<==<=5 and the crossword is 11111, then its encoding is an array {5}; - If *x*<==<=5 and the crossword is 00000, then its encoding is an empty array.
Mishka wants to create a new one-dimensional Japanese crossword. He has already picked the length and the encoding for this crossword. And now he needs to check if there is exactly one crossword such that its length and encoding are equal to the length and encoding he picked. Help him to check it! | The first line contains two integer numbers *n* and *x* (1<=≤<=*n*<=≤<=100000, 1<=≤<=*x*<=≤<=109) — the number of elements in the encoding and the length of the crossword Mishka picked.
The second line contains *n* integer numbers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=10000) — the encoding. | Print YES if there exists exaclty one crossword with chosen length and encoding. Otherwise, print NO. | [
"2 4\n1 3\n",
"3 10\n3 3 2\n",
"2 10\n1 3\n"
] | [
"NO\n",
"YES\n",
"NO\n"
] | none | 0 | [
{
"input": "2 4\n1 3",
"output": "NO"
},
{
"input": "3 10\n3 3 2",
"output": "YES"
},
{
"input": "2 10\n1 3",
"output": "NO"
},
{
"input": "1 1\n1",
"output": "YES"
},
{
"input": "1 10\n10",
"output": "YES"
},
{
"input": "1 10000\n10000",
"output":... | 1,546,099,331 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 17 | 140 | 4,812,800 | n, x = map(int, input().split())
s = 0
for c in input().split():
s += int(c)
# print(x-n-s+1)
# print(s)
print('YES' if 0<=x-s-(n-1)<=1 else 'NO') | Title: Japanese Crosswords Strike Back
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A one-dimensional Japanese crossword can be represented as a binary string of length *x*. An encoding of this crossword is an array *a* of size *n*, where *n* is the number of segments formed completely of 1's, and *a**i* is the length of *i*-th segment. No two segments touch or intersect.
For example:
- If *x*<==<=6 and the crossword is 111011, then its encoding is an array {3,<=2}; - If *x*<==<=8 and the crossword is 01101010, then its encoding is an array {2,<=1,<=1}; - If *x*<==<=5 and the crossword is 11111, then its encoding is an array {5}; - If *x*<==<=5 and the crossword is 00000, then its encoding is an empty array.
Mishka wants to create a new one-dimensional Japanese crossword. He has already picked the length and the encoding for this crossword. And now he needs to check if there is exactly one crossword such that its length and encoding are equal to the length and encoding he picked. Help him to check it!
Input Specification:
The first line contains two integer numbers *n* and *x* (1<=≤<=*n*<=≤<=100000, 1<=≤<=*x*<=≤<=109) — the number of elements in the encoding and the length of the crossword Mishka picked.
The second line contains *n* integer numbers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=10000) — the encoding.
Output Specification:
Print YES if there exists exaclty one crossword with chosen length and encoding. Otherwise, print NO.
Demo Input:
['2 4\n1 3\n', '3 10\n3 3 2\n', '2 10\n1 3\n']
Demo Output:
['NO\n', 'YES\n', 'NO\n']
Note:
none | ```python
n, x = map(int, input().split())
s = 0
for c in input().split():
s += int(c)
# print(x-n-s+1)
# print(s)
print('YES' if 0<=x-s-(n-1)<=1 else 'NO')
``` | 0 | |
946 | A | Partition | PROGRAMMING | 800 | [
"greedy"
] | null | null | You are given a sequence *a* consisting of *n* integers. You may partition this sequence into two sequences *b* and *c* in such a way that every element belongs exactly to one of these sequences.
Let *B* be the sum of elements belonging to *b*, and *C* be the sum of elements belonging to *c* (if some of these sequences is empty, then its sum is 0). What is the maximum possible value of *B*<=-<=*C*? | The first line contains one integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in *a*.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (<=-<=100<=≤<=*a**i*<=≤<=100) — the elements of sequence *a*. | Print the maximum possible value of *B*<=-<=*C*, where *B* is the sum of elements of sequence *b*, and *C* is the sum of elements of sequence *c*. | [
"3\n1 -2 0\n",
"6\n16 23 16 15 42 8\n"
] | [
"3\n",
"120\n"
] | In the first example we may choose *b* = {1, 0}, *c* = { - 2}. Then *B* = 1, *C* = - 2, *B* - *C* = 3.
In the second example we choose *b* = {16, 23, 16, 15, 42, 8}, *c* = {} (an empty sequence). Then *B* = 120, *C* = 0, *B* - *C* = 120. | 0 | [
{
"input": "3\n1 -2 0",
"output": "3"
},
{
"input": "6\n16 23 16 15 42 8",
"output": "120"
},
{
"input": "1\n-1",
"output": "1"
},
{
"input": "100\n-100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -100 -10... | 1,573,592,916 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 93 | 0 | input()
a = sorted(list(map(int, input().split())))
print(a[-1] - a[0] if a[0] < 1 else sum(a)) | Title: Partition
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a sequence *a* consisting of *n* integers. You may partition this sequence into two sequences *b* and *c* in such a way that every element belongs exactly to one of these sequences.
Let *B* be the sum of elements belonging to *b*, and *C* be the sum of elements belonging to *c* (if some of these sequences is empty, then its sum is 0). What is the maximum possible value of *B*<=-<=*C*?
Input Specification:
The first line contains one integer *n* (1<=≤<=*n*<=≤<=100) — the number of elements in *a*.
The second line contains *n* integers *a*1, *a*2, ..., *a**n* (<=-<=100<=≤<=*a**i*<=≤<=100) — the elements of sequence *a*.
Output Specification:
Print the maximum possible value of *B*<=-<=*C*, where *B* is the sum of elements of sequence *b*, and *C* is the sum of elements of sequence *c*.
Demo Input:
['3\n1 -2 0\n', '6\n16 23 16 15 42 8\n']
Demo Output:
['3\n', '120\n']
Note:
In the first example we may choose *b* = {1, 0}, *c* = { - 2}. Then *B* = 1, *C* = - 2, *B* - *C* = 3.
In the second example we choose *b* = {16, 23, 16, 15, 42, 8}, *c* = {} (an empty sequence). Then *B* = 120, *C* = 0, *B* - *C* = 120. | ```python
input()
a = sorted(list(map(int, input().split())))
print(a[-1] - a[0] if a[0] < 1 else sum(a))
``` | 0 | |
981 | A | Antipalindrome | PROGRAMMING | 900 | [
"brute force",
"implementation",
"strings"
] | null | null | A string is a palindrome if it reads the same from the left to the right and from the right to the left. For example, the strings "kek", "abacaba", "r" and "papicipap" are palindromes, while the strings "abb" and "iq" are not.
A substring $s[l \ldots r]$ ($1<=\leq<=l<=\leq<=r<=\leq<=|s|$) of a string $s<==<=s_{1}s_{2} \ldots s_{|s|}$ is the string $s_{l}s_{l<=+<=1} \ldots s_{r}$.
Anna does not like palindromes, so she makes her friends call her Ann. She also changes all the words she reads in a similar way. Namely, each word $s$ is changed into its longest substring that is not a palindrome. If all the substrings of $s$ are palindromes, she skips the word at all.
Some time ago Ann read the word $s$. What is the word she changed it into? | The first line contains a non-empty string $s$ with length at most $50$ characters, containing lowercase English letters only. | If there is such a substring in $s$ that is not a palindrome, print the maximum length of such a substring. Otherwise print $0$.
Note that there can be multiple longest substrings that are not palindromes, but their length is unique. | [
"mew\n",
"wuffuw\n",
"qqqqqqqq\n"
] | [
"3\n",
"5\n",
"0\n"
] | "mew" is not a palindrome, so the longest substring of it that is not a palindrome, is the string "mew" itself. Thus, the answer for the first example is $3$.
The string "uffuw" is one of the longest non-palindrome substrings (of length $5$) of the string "wuffuw", so the answer for the second example is $5$.
All substrings of the string "qqqqqqqq" consist of equal characters so they are palindromes. This way, there are no non-palindrome substrings. Thus, the answer for the third example is $0$. | 500 | [
{
"input": "mew",
"output": "3"
},
{
"input": "wuffuw",
"output": "5"
},
{
"input": "qqqqqqqq",
"output": "0"
},
{
"input": "ijvji",
"output": "4"
},
{
"input": "iiiiiii",
"output": "0"
},
{
"input": "wobervhvvkihcuyjtmqhaaigvvgiaahqmtjyuchikvvhvrebow"... | 1,585,871,925 | 2,147,483,647 | Python 3 | OK | TESTS | 133 | 109 | 307,200 | # -*- coding: utf-8 -*-
"""
Created on Thu Apr 2 17:50:02 2020
@author: alexi
"""
#https://codeforces.com/problemset/problem/981/A --- Alexis Galvan
def check(string):
L = 0
R = len(string)-1
while L <= R:
if string[L] == string[R]:
L += 1
R -= 1
else:
return False
return True
def check_equal(string):
dic = {}
for i in range(len(string)):
if string[i] not in dic:
dic[string[i]] = 1
if len(dic) == 2:
return False
return True
def antipalindrome():
word = input()
if not check(word):
return len(word)
else:
if check_equal(word):
return 0
i = 1
maximum = 0
while True:
temp = word[i:]
if not check(temp):
length = len(temp)
if length > maximum:
maximum = length
i += 1
if i == len(word):
break
i = 1
while True:
temp = word[:i]
if not check(temp):
length = len(temp)
if length > maximum:
maximum = length
i += 1
if i == len(word):
break
return maximum
A = antipalindrome()
print(A) | Title: Antipalindrome
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A string is a palindrome if it reads the same from the left to the right and from the right to the left. For example, the strings "kek", "abacaba", "r" and "papicipap" are palindromes, while the strings "abb" and "iq" are not.
A substring $s[l \ldots r]$ ($1<=\leq<=l<=\leq<=r<=\leq<=|s|$) of a string $s<==<=s_{1}s_{2} \ldots s_{|s|}$ is the string $s_{l}s_{l<=+<=1} \ldots s_{r}$.
Anna does not like palindromes, so she makes her friends call her Ann. She also changes all the words she reads in a similar way. Namely, each word $s$ is changed into its longest substring that is not a palindrome. If all the substrings of $s$ are palindromes, she skips the word at all.
Some time ago Ann read the word $s$. What is the word she changed it into?
Input Specification:
The first line contains a non-empty string $s$ with length at most $50$ characters, containing lowercase English letters only.
Output Specification:
If there is such a substring in $s$ that is not a palindrome, print the maximum length of such a substring. Otherwise print $0$.
Note that there can be multiple longest substrings that are not palindromes, but their length is unique.
Demo Input:
['mew\n', 'wuffuw\n', 'qqqqqqqq\n']
Demo Output:
['3\n', '5\n', '0\n']
Note:
"mew" is not a palindrome, so the longest substring of it that is not a palindrome, is the string "mew" itself. Thus, the answer for the first example is $3$.
The string "uffuw" is one of the longest non-palindrome substrings (of length $5$) of the string "wuffuw", so the answer for the second example is $5$.
All substrings of the string "qqqqqqqq" consist of equal characters so they are palindromes. This way, there are no non-palindrome substrings. Thus, the answer for the third example is $0$. | ```python
# -*- coding: utf-8 -*-
"""
Created on Thu Apr 2 17:50:02 2020
@author: alexi
"""
#https://codeforces.com/problemset/problem/981/A --- Alexis Galvan
def check(string):
L = 0
R = len(string)-1
while L <= R:
if string[L] == string[R]:
L += 1
R -= 1
else:
return False
return True
def check_equal(string):
dic = {}
for i in range(len(string)):
if string[i] not in dic:
dic[string[i]] = 1
if len(dic) == 2:
return False
return True
def antipalindrome():
word = input()
if not check(word):
return len(word)
else:
if check_equal(word):
return 0
i = 1
maximum = 0
while True:
temp = word[i:]
if not check(temp):
length = len(temp)
if length > maximum:
maximum = length
i += 1
if i == len(word):
break
i = 1
while True:
temp = word[:i]
if not check(temp):
length = len(temp)
if length > maximum:
maximum = length
i += 1
if i == len(word):
break
return maximum
A = antipalindrome()
print(A)
``` | 3 | |
631 | A | Interview | PROGRAMMING | 900 | [
"brute force",
"implementation"
] | null | null | Blake is a CEO of a large company called "Blake Technologies". He loves his company very much and he thinks that his company should be the best. That is why every candidate needs to pass through the interview that consists of the following problem.
We define function *f*(*x*,<=*l*,<=*r*) as a bitwise OR of integers *x**l*,<=*x**l*<=+<=1,<=...,<=*x**r*, where *x**i* is the *i*-th element of the array *x*. You are given two arrays *a* and *b* of length *n*. You need to determine the maximum value of sum *f*(*a*,<=*l*,<=*r*)<=+<=*f*(*b*,<=*l*,<=*r*) among all possible 1<=≤<=*l*<=≤<=*r*<=≤<=*n*. | The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the length of the arrays.
The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=109).
The third line contains *n* integers *b**i* (0<=≤<=*b**i*<=≤<=109). | Print a single integer — the maximum value of sum *f*(*a*,<=*l*,<=*r*)<=+<=*f*(*b*,<=*l*,<=*r*) among all possible 1<=≤<=*l*<=≤<=*r*<=≤<=*n*. | [
"5\n1 2 4 3 2\n2 3 3 12 1\n",
"10\n13 2 7 11 8 4 9 8 5 1\n5 7 18 9 2 3 0 11 8 6\n"
] | [
"22",
"46"
] | Bitwise OR of two non-negative integers *a* and *b* is the number *c* = *a* *OR* *b*, such that each of its digits in binary notation is 1 if and only if at least one of *a* or *b* have 1 in the corresponding position in binary notation.
In the first sample, one of the optimal answers is *l* = 2 and *r* = 4, because *f*(*a*, 2, 4) + *f*(*b*, 2, 4) = (2 *OR* 4 *OR* 3) + (3 *OR* 3 *OR* 12) = 7 + 15 = 22. Other ways to get maximum value is to choose *l* = 1 and *r* = 4, *l* = 1 and *r* = 5, *l* = 2 and *r* = 4, *l* = 2 and *r* = 5, *l* = 3 and *r* = 4, or *l* = 3 and *r* = 5.
In the second sample, the maximum value is obtained for *l* = 1 and *r* = 9. | 500 | [
{
"input": "5\n1 2 4 3 2\n2 3 3 12 1",
"output": "22"
},
{
"input": "10\n13 2 7 11 8 4 9 8 5 1\n5 7 18 9 2 3 0 11 8 6",
"output": "46"
},
{
"input": "25\n12 30 38 109 81 124 80 33 38 48 29 78 96 48 96 27 80 77 102 65 80 113 31 118 35\n25 64 95 13 12 6 111 80 85 16 61 119 23 65 73 65 20 9... | 1,585,073,827 | 2,147,483,647 | Python 3 | COMPILATION_ERROR | TESTS | 0 | 0 | 0 | input ()
print sum ([ reduzir ( lambda x , y : x | y , mapa ( int , raw_input (). split ())) para i no xrange ( 2 )]) | Title: Interview
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Blake is a CEO of a large company called "Blake Technologies". He loves his company very much and he thinks that his company should be the best. That is why every candidate needs to pass through the interview that consists of the following problem.
We define function *f*(*x*,<=*l*,<=*r*) as a bitwise OR of integers *x**l*,<=*x**l*<=+<=1,<=...,<=*x**r*, where *x**i* is the *i*-th element of the array *x*. You are given two arrays *a* and *b* of length *n*. You need to determine the maximum value of sum *f*(*a*,<=*l*,<=*r*)<=+<=*f*(*b*,<=*l*,<=*r*) among all possible 1<=≤<=*l*<=≤<=*r*<=≤<=*n*.
Input Specification:
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the length of the arrays.
The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=109).
The third line contains *n* integers *b**i* (0<=≤<=*b**i*<=≤<=109).
Output Specification:
Print a single integer — the maximum value of sum *f*(*a*,<=*l*,<=*r*)<=+<=*f*(*b*,<=*l*,<=*r*) among all possible 1<=≤<=*l*<=≤<=*r*<=≤<=*n*.
Demo Input:
['5\n1 2 4 3 2\n2 3 3 12 1\n', '10\n13 2 7 11 8 4 9 8 5 1\n5 7 18 9 2 3 0 11 8 6\n']
Demo Output:
['22', '46']
Note:
Bitwise OR of two non-negative integers *a* and *b* is the number *c* = *a* *OR* *b*, such that each of its digits in binary notation is 1 if and only if at least one of *a* or *b* have 1 in the corresponding position in binary notation.
In the first sample, one of the optimal answers is *l* = 2 and *r* = 4, because *f*(*a*, 2, 4) + *f*(*b*, 2, 4) = (2 *OR* 4 *OR* 3) + (3 *OR* 3 *OR* 12) = 7 + 15 = 22. Other ways to get maximum value is to choose *l* = 1 and *r* = 4, *l* = 1 and *r* = 5, *l* = 2 and *r* = 4, *l* = 2 and *r* = 5, *l* = 3 and *r* = 4, or *l* = 3 and *r* = 5.
In the second sample, the maximum value is obtained for *l* = 1 and *r* = 9. | ```python
input ()
print sum ([ reduzir ( lambda x , y : x | y , mapa ( int , raw_input (). split ())) para i no xrange ( 2 )])
``` | -1 | |
286 | A | Lucky Permutation | PROGRAMMING | 1,400 | [
"constructive algorithms",
"math"
] | null | null | A permutation *p* of size *n* is the sequence *p*1,<=*p*2,<=...,<=*p**n*, consisting of *n* distinct integers, each of them is from 1 to *n* (1<=≤<=*p**i*<=≤<=*n*).
A lucky permutation is such permutation *p*, that any integer *i* (1<=≤<=*i*<=≤<=*n*) meets this condition *p**p**i*<==<=*n*<=-<=*i*<=+<=1.
You have integer *n*. Find some lucky permutation *p* of size *n*. | The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the required permutation size. | Print "-1" (without the quotes) if the lucky permutation *p* of size *n* doesn't exist.
Otherwise, print *n* distinct integers *p*1,<=*p*2,<=...,<=*p**n* (1<=≤<=*p**i*<=≤<=*n*) after a space — the required permutation.
If there are multiple answers, you can print any of them. | [
"1\n",
"2\n",
"4\n",
"5\n"
] | [
"1 \n",
"-1\n",
"2 4 1 3 \n",
"2 5 3 1 4 \n"
] | none | 500 | [
{
"input": "1",
"output": "1 "
},
{
"input": "2",
"output": "-1"
},
{
"input": "4",
"output": "2 4 1 3 "
},
{
"input": "5",
"output": "2 5 3 1 4 "
},
{
"input": "3",
"output": "-1"
},
{
"input": "100000",
"output": "2 100000 4 99998 6 99996 8 99994... | 1,581,051,968 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 5 | 312 | 409,600 | n=int(input())
if n==1:from sys import exit;print(1);exit()
res=[0]*n
res[0]=2
i=0
while i<n:
x=res[i]-1
if res[x]>0:
if x==0:
if res[x]==n-i:break
from sys import exit
print(-1);exit()
res[x]=n-i
i=x
if res[n//2]==0:res[n//2]=n//2+1
if 0 in res:print(-1)
else:print(*res) | Title: Lucky Permutation
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
A permutation *p* of size *n* is the sequence *p*1,<=*p*2,<=...,<=*p**n*, consisting of *n* distinct integers, each of them is from 1 to *n* (1<=≤<=*p**i*<=≤<=*n*).
A lucky permutation is such permutation *p*, that any integer *i* (1<=≤<=*i*<=≤<=*n*) meets this condition *p**p**i*<==<=*n*<=-<=*i*<=+<=1.
You have integer *n*. Find some lucky permutation *p* of size *n*.
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=105) — the required permutation size.
Output Specification:
Print "-1" (without the quotes) if the lucky permutation *p* of size *n* doesn't exist.
Otherwise, print *n* distinct integers *p*1,<=*p*2,<=...,<=*p**n* (1<=≤<=*p**i*<=≤<=*n*) after a space — the required permutation.
If there are multiple answers, you can print any of them.
Demo Input:
['1\n', '2\n', '4\n', '5\n']
Demo Output:
['1 \n', '-1\n', '2 4 1 3 \n', '2 5 3 1 4 \n']
Note:
none | ```python
n=int(input())
if n==1:from sys import exit;print(1);exit()
res=[0]*n
res[0]=2
i=0
while i<n:
x=res[i]-1
if res[x]>0:
if x==0:
if res[x]==n-i:break
from sys import exit
print(-1);exit()
res[x]=n-i
i=x
if res[n//2]==0:res[n//2]=n//2+1
if 0 in res:print(-1)
else:print(*res)
``` | 0 | |
299 | A | Ksusha and Array | PROGRAMMING | 1,000 | [
"brute force",
"number theory",
"sortings"
] | null | null | Ksusha is a beginner coder. Today she starts studying arrays. She has array *a*1,<=*a*2,<=...,<=*a**n*, consisting of *n* positive integers.
Her university teacher gave her a task. Find such number in the array, that all array elements are divisible by it. Help her and find the number! | The first line contains integer *n* (1<=≤<=*n*<=≤<=105), showing how many numbers the array has. The next line contains integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the array elements. | Print a single integer — the number from the array, such that all array elements are divisible by it. If such number doesn't exist, print -1.
If there are multiple answers, you are allowed to print any of them. | [
"3\n2 2 4\n",
"5\n2 1 3 1 6\n",
"3\n2 3 5\n"
] | [
"2\n",
"1\n",
"-1\n"
] | none | 500 | [
{
"input": "3\n2 2 4",
"output": "2"
},
{
"input": "5\n2 1 3 1 6",
"output": "1"
},
{
"input": "3\n2 3 5",
"output": "-1"
},
{
"input": "1\n331358794",
"output": "331358794"
},
{
"input": "5\n506904227 214303304 136194869 838256937 183952885",
"output": "-1"
... | 1,589,497,739 | 2,147,483,647 | PyPy 3 | OK | TESTS | 32 | 466 | 30,720,000 | garbage = int(input())
l = list(map(int, input().rstrip().split(" ")))
m = min(l)
r = m
for i in l:
if i%m !=0:
r = -1
print(r) | Title: Ksusha and Array
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Ksusha is a beginner coder. Today she starts studying arrays. She has array *a*1,<=*a*2,<=...,<=*a**n*, consisting of *n* positive integers.
Her university teacher gave her a task. Find such number in the array, that all array elements are divisible by it. Help her and find the number!
Input Specification:
The first line contains integer *n* (1<=≤<=*n*<=≤<=105), showing how many numbers the array has. The next line contains integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109) — the array elements.
Output Specification:
Print a single integer — the number from the array, such that all array elements are divisible by it. If such number doesn't exist, print -1.
If there are multiple answers, you are allowed to print any of them.
Demo Input:
['3\n2 2 4\n', '5\n2 1 3 1 6\n', '3\n2 3 5\n']
Demo Output:
['2\n', '1\n', '-1\n']
Note:
none | ```python
garbage = int(input())
l = list(map(int, input().rstrip().split(" ")))
m = min(l)
r = m
for i in l:
if i%m !=0:
r = -1
print(r)
``` | 3 | |
771 | A | Bear and Friendship Condition | PROGRAMMING | 1,500 | [
"dfs and similar",
"dsu",
"graphs"
] | null | null | Bear Limak examines a social network. Its main functionality is that two members can become friends (then they can talk with each other and share funny pictures).
There are *n* members, numbered 1 through *n*. *m* pairs of members are friends. Of course, a member can't be a friend with themselves.
Let A-B denote that members A and B are friends. Limak thinks that a network is reasonable if and only if the following condition is satisfied: For every three distinct members (X, Y, Z), if X-Y and Y-Z then also X-Z.
For example: if Alan and Bob are friends, and Bob and Ciri are friends, then Alan and Ciri should be friends as well.
Can you help Limak and check if the network is reasonable? Print "YES" or "NO" accordingly, without the quotes. | The first line of the input contain two integers *n* and *m* (3<=≤<=*n*<=≤<=150<=000, ) — the number of members and the number of pairs of members that are friends.
The *i*-th of the next *m* lines contains two distinct integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=*a**i*<=≠<=*b**i*). Members *a**i* and *b**i* are friends with each other. No pair of members will appear more than once in the input. | If the given network is reasonable, print "YES" in a single line (without the quotes). Otherwise, print "NO" in a single line (without the quotes). | [
"4 3\n1 3\n3 4\n1 4\n",
"4 4\n3 1\n2 3\n3 4\n1 2\n",
"10 4\n4 3\n5 10\n8 9\n1 2\n",
"3 2\n1 2\n2 3\n"
] | [
"YES\n",
"NO\n",
"YES\n",
"NO\n"
] | The drawings below show the situation in the first sample (on the left) and in the second sample (on the right). Each edge represents two members that are friends. The answer is "NO" in the second sample because members (2, 3) are friends and members (3, 4) are friends, while members (2, 4) are not. | 250 | [
{
"input": "4 3\n1 3\n3 4\n1 4",
"output": "YES"
},
{
"input": "4 4\n3 1\n2 3\n3 4\n1 2",
"output": "NO"
},
{
"input": "10 4\n4 3\n5 10\n8 9\n1 2",
"output": "YES"
},
{
"input": "3 2\n1 2\n2 3",
"output": "NO"
},
{
"input": "3 0",
"output": "YES"
},
{
... | 1,587,376,917 | 2,147,483,647 | Python 3 | OK | TESTS | 96 | 873 | 20,070,400 | def li(): return list(map(int,input().split()))
def ls(): return list(map(int,list(input())))
def i(): return int(input())
from collections import defaultdict
graph = defaultdict(list)
n,m = li()
for _ in range(m):
x,y = li()
graph[x].append(y)
graph[y].append(x)
visited= [False]*(n+1)
flag = 1
for i in range(n+1):
if graph[i+1] :
graph[i+1].append(i+1)
graph[i+1].sort()
# print(graph)
for i in range(n):
if visited[i+1] == False:
visited[i+1] = True
for x in graph[i+1]:
if visited[x] == False:
visited[x] = True
# print(graph[x],graph[i+1])
if graph[x] != graph[i+1] :
flag = 0
break
if flag == 1:
print('YES')
else:
print('NO')
| Title: Bear and Friendship Condition
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Bear Limak examines a social network. Its main functionality is that two members can become friends (then they can talk with each other and share funny pictures).
There are *n* members, numbered 1 through *n*. *m* pairs of members are friends. Of course, a member can't be a friend with themselves.
Let A-B denote that members A and B are friends. Limak thinks that a network is reasonable if and only if the following condition is satisfied: For every three distinct members (X, Y, Z), if X-Y and Y-Z then also X-Z.
For example: if Alan and Bob are friends, and Bob and Ciri are friends, then Alan and Ciri should be friends as well.
Can you help Limak and check if the network is reasonable? Print "YES" or "NO" accordingly, without the quotes.
Input Specification:
The first line of the input contain two integers *n* and *m* (3<=≤<=*n*<=≤<=150<=000, ) — the number of members and the number of pairs of members that are friends.
The *i*-th of the next *m* lines contains two distinct integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=*n*,<=*a**i*<=≠<=*b**i*). Members *a**i* and *b**i* are friends with each other. No pair of members will appear more than once in the input.
Output Specification:
If the given network is reasonable, print "YES" in a single line (without the quotes). Otherwise, print "NO" in a single line (without the quotes).
Demo Input:
['4 3\n1 3\n3 4\n1 4\n', '4 4\n3 1\n2 3\n3 4\n1 2\n', '10 4\n4 3\n5 10\n8 9\n1 2\n', '3 2\n1 2\n2 3\n']
Demo Output:
['YES\n', 'NO\n', 'YES\n', 'NO\n']
Note:
The drawings below show the situation in the first sample (on the left) and in the second sample (on the right). Each edge represents two members that are friends. The answer is "NO" in the second sample because members (2, 3) are friends and members (3, 4) are friends, while members (2, 4) are not. | ```python
def li(): return list(map(int,input().split()))
def ls(): return list(map(int,list(input())))
def i(): return int(input())
from collections import defaultdict
graph = defaultdict(list)
n,m = li()
for _ in range(m):
x,y = li()
graph[x].append(y)
graph[y].append(x)
visited= [False]*(n+1)
flag = 1
for i in range(n+1):
if graph[i+1] :
graph[i+1].append(i+1)
graph[i+1].sort()
# print(graph)
for i in range(n):
if visited[i+1] == False:
visited[i+1] = True
for x in graph[i+1]:
if visited[x] == False:
visited[x] = True
# print(graph[x],graph[i+1])
if graph[x] != graph[i+1] :
flag = 0
break
if flag == 1:
print('YES')
else:
print('NO')
``` | 3 | |
460 | A | Vasya and Socks | PROGRAMMING | 900 | [
"brute force",
"implementation",
"math"
] | null | null | Vasya has *n* pairs of socks. In the morning of each day Vasya has to put on a pair of socks before he goes to school. When he comes home in the evening, Vasya takes off the used socks and throws them away. Every *m*-th day (at days with numbers *m*,<=2*m*,<=3*m*,<=...) mom buys a pair of socks to Vasya. She does it late in the evening, so that Vasya cannot put on a new pair of socks before the next day. How many consecutive days pass until Vasya runs out of socks? | The single line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100; 2<=≤<=*m*<=≤<=100), separated by a space. | Print a single integer — the answer to the problem. | [
"2 2\n",
"9 3\n"
] | [
"3\n",
"13\n"
] | In the first sample Vasya spends the first two days wearing the socks that he had initially. Then on day three he puts on the socks that were bought on day two.
In the second sample Vasya spends the first nine days wearing the socks that he had initially. Then he spends three days wearing the socks that were bought on the third, sixth and ninth days. Than he spends another day wearing the socks that were bought on the twelfth day. | 500 | [
{
"input": "2 2",
"output": "3"
},
{
"input": "9 3",
"output": "13"
},
{
"input": "1 2",
"output": "1"
},
{
"input": "2 3",
"output": "2"
},
{
"input": "1 99",
"output": "1"
},
{
"input": "4 4",
"output": "5"
},
{
"input": "10 2",
"outp... | 1,647,694,982 | 2,147,483,647 | PyPy 3-64 | WRONG_ANSWER | TESTS | 1 | 30 | 0 | m,n=map(int,input().split())
d=int(m/n)
sum1=d
while(d>0):
d=int(d/n)
sum1+=d
if(m%n==0 and m!=n):
print(sum1+m+1)
else:
print(sum1+m) | Title: Vasya and Socks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasya has *n* pairs of socks. In the morning of each day Vasya has to put on a pair of socks before he goes to school. When he comes home in the evening, Vasya takes off the used socks and throws them away. Every *m*-th day (at days with numbers *m*,<=2*m*,<=3*m*,<=...) mom buys a pair of socks to Vasya. She does it late in the evening, so that Vasya cannot put on a new pair of socks before the next day. How many consecutive days pass until Vasya runs out of socks?
Input Specification:
The single line contains two integers *n* and *m* (1<=≤<=*n*<=≤<=100; 2<=≤<=*m*<=≤<=100), separated by a space.
Output Specification:
Print a single integer — the answer to the problem.
Demo Input:
['2 2\n', '9 3\n']
Demo Output:
['3\n', '13\n']
Note:
In the first sample Vasya spends the first two days wearing the socks that he had initially. Then on day three he puts on the socks that were bought on day two.
In the second sample Vasya spends the first nine days wearing the socks that he had initially. Then he spends three days wearing the socks that were bought on the third, sixth and ninth days. Than he spends another day wearing the socks that were bought on the twelfth day. | ```python
m,n=map(int,input().split())
d=int(m/n)
sum1=d
while(d>0):
d=int(d/n)
sum1+=d
if(m%n==0 and m!=n):
print(sum1+m+1)
else:
print(sum1+m)
``` | 0 | |
749 | B | Parallelogram is Back | PROGRAMMING | 1,200 | [
"brute force",
"constructive algorithms",
"geometry"
] | null | null | Long time ago Alex created an interesting problem about parallelogram. The input data for this problem contained four integer points on the Cartesian plane, that defined the set of vertices of some non-degenerate (positive area) parallelogram. Points not necessary were given in the order of clockwise or counterclockwise traversal.
Alex had very nice test for this problem, but is somehow happened that the last line of the input was lost and now he has only three out of four points of the original parallelogram. He remembers that test was so good that he asks you to restore it given only these three points. | The input consists of three lines, each containing a pair of integer coordinates *x**i* and *y**i* (<=-<=1000<=≤<=*x**i*,<=*y**i*<=≤<=1000). It's guaranteed that these three points do not lie on the same line and no two of them coincide. | First print integer *k* — the number of ways to add one new integer point such that the obtained set defines some parallelogram of positive area. There is no requirement for the points to be arranged in any special order (like traversal), they just define the set of vertices.
Then print *k* lines, each containing a pair of integer — possible coordinates of the fourth point. | [
"0 0\n1 0\n0 1\n"
] | [
"3\n1 -1\n-1 1\n1 1\n"
] | If you need clarification of what parallelogram is, please check Wikipedia page:
https://en.wikipedia.org/wiki/Parallelogram | 1,000 | [
{
"input": "0 0\n1 0\n0 1",
"output": "3\n1 -1\n-1 1\n1 1"
},
{
"input": "0 -1\n-1 0\n1 1",
"output": "3\n-2 -2\n2 0\n0 2"
},
{
"input": "-1 -1\n0 1\n1 1",
"output": "3\n-2 -1\n0 -1\n2 3"
},
{
"input": "1000 1000\n-1000 -1000\n-1000 1000",
"output": "3\n1000 -1000\n1000 3... | 1,680,341,040 | 2,147,483,647 | Python 3 | COMPILATION_ERROR | TESTS | 0 | 0 | 0 | x1,y1=map(int,input().split())
x2,y2=map(int,input().split())
x3,y3=map(int,input().split())
a=x1+x2-x3
b=y1+y2
c=x2+x3-x1
d=y2+y3-y1-y3
e=x3+x1-x2
f=y3+y1-y2)
print(3)
print(a,b)
print(c,d)
print(e,f) | Title: Parallelogram is Back
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Long time ago Alex created an interesting problem about parallelogram. The input data for this problem contained four integer points on the Cartesian plane, that defined the set of vertices of some non-degenerate (positive area) parallelogram. Points not necessary were given in the order of clockwise or counterclockwise traversal.
Alex had very nice test for this problem, but is somehow happened that the last line of the input was lost and now he has only three out of four points of the original parallelogram. He remembers that test was so good that he asks you to restore it given only these three points.
Input Specification:
The input consists of three lines, each containing a pair of integer coordinates *x**i* and *y**i* (<=-<=1000<=≤<=*x**i*,<=*y**i*<=≤<=1000). It's guaranteed that these three points do not lie on the same line and no two of them coincide.
Output Specification:
First print integer *k* — the number of ways to add one new integer point such that the obtained set defines some parallelogram of positive area. There is no requirement for the points to be arranged in any special order (like traversal), they just define the set of vertices.
Then print *k* lines, each containing a pair of integer — possible coordinates of the fourth point.
Demo Input:
['0 0\n1 0\n0 1\n']
Demo Output:
['3\n1 -1\n-1 1\n1 1\n']
Note:
If you need clarification of what parallelogram is, please check Wikipedia page:
https://en.wikipedia.org/wiki/Parallelogram | ```python
x1,y1=map(int,input().split())
x2,y2=map(int,input().split())
x3,y3=map(int,input().split())
a=x1+x2-x3
b=y1+y2
c=x2+x3-x1
d=y2+y3-y1-y3
e=x3+x1-x2
f=y3+y1-y2)
print(3)
print(a,b)
print(c,d)
print(e,f)
``` | -1 | |
567 | A | Lineland Mail | PROGRAMMING | 900 | [
"greedy",
"implementation"
] | null | null | All cities of Lineland are located on the *Ox* coordinate axis. Thus, each city is associated with its position *x**i* — a coordinate on the *Ox* axis. No two cities are located at a single point.
Lineland residents love to send letters to each other. A person may send a letter only if the recipient lives in another city (because if they live in the same city, then it is easier to drop in).
Strange but true, the cost of sending the letter is exactly equal to the distance between the sender's city and the recipient's city.
For each city calculate two values *min**i* and *max**i*, where *min**i* is the minimum cost of sending a letter from the *i*-th city to some other city, and *max**i* is the the maximum cost of sending a letter from the *i*-th city to some other city | The first line of the input contains integer *n* (2<=≤<=*n*<=≤<=105) — the number of cities in Lineland. The second line contains the sequence of *n* distinct integers *x*1,<=*x*2,<=...,<=*x**n* (<=-<=109<=≤<=*x**i*<=≤<=109), where *x**i* is the *x*-coordinate of the *i*-th city. All the *x**i*'s are distinct and follow in ascending order. | Print *n* lines, the *i*-th line must contain two integers *min**i*,<=*max**i*, separated by a space, where *min**i* is the minimum cost of sending a letter from the *i*-th city, and *max**i* is the maximum cost of sending a letter from the *i*-th city. | [
"4\n-5 -2 2 7\n",
"2\n-1 1\n"
] | [
"3 12\n3 9\n4 7\n5 12\n",
"2 2\n2 2\n"
] | none | 500 | [
{
"input": "4\n-5 -2 2 7",
"output": "3 12\n3 9\n4 7\n5 12"
},
{
"input": "2\n-1 1",
"output": "2 2\n2 2"
},
{
"input": "3\n-1 0 1",
"output": "1 2\n1 1\n1 2"
},
{
"input": "4\n-1 0 1 3",
"output": "1 4\n1 3\n1 2\n2 4"
},
{
"input": "3\n-1000000000 0 1000000000",
... | 1,657,365,217 | 2,147,483,647 | Python 3 | OK | TESTS | 54 | 483 | 8,396,800 | n=int(input())
arr=list(map(int,input().split()))
for i in range(n):
if i==0:
print(arr[i+1]-arr[i],arr[n-1]-arr[i])
elif i==n-1:
print(arr[i]-arr[i-1],arr[i]-arr[0])
else:
print(min(arr[i]-arr[i-1],arr[i+1]-arr[i]),max(arr[i]-arr[0],arr[n-1]-arr[i])) | Title: Lineland Mail
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
All cities of Lineland are located on the *Ox* coordinate axis. Thus, each city is associated with its position *x**i* — a coordinate on the *Ox* axis. No two cities are located at a single point.
Lineland residents love to send letters to each other. A person may send a letter only if the recipient lives in another city (because if they live in the same city, then it is easier to drop in).
Strange but true, the cost of sending the letter is exactly equal to the distance between the sender's city and the recipient's city.
For each city calculate two values *min**i* and *max**i*, where *min**i* is the minimum cost of sending a letter from the *i*-th city to some other city, and *max**i* is the the maximum cost of sending a letter from the *i*-th city to some other city
Input Specification:
The first line of the input contains integer *n* (2<=≤<=*n*<=≤<=105) — the number of cities in Lineland. The second line contains the sequence of *n* distinct integers *x*1,<=*x*2,<=...,<=*x**n* (<=-<=109<=≤<=*x**i*<=≤<=109), where *x**i* is the *x*-coordinate of the *i*-th city. All the *x**i*'s are distinct and follow in ascending order.
Output Specification:
Print *n* lines, the *i*-th line must contain two integers *min**i*,<=*max**i*, separated by a space, where *min**i* is the minimum cost of sending a letter from the *i*-th city, and *max**i* is the maximum cost of sending a letter from the *i*-th city.
Demo Input:
['4\n-5 -2 2 7\n', '2\n-1 1\n']
Demo Output:
['3 12\n3 9\n4 7\n5 12\n', '2 2\n2 2\n']
Note:
none | ```python
n=int(input())
arr=list(map(int,input().split()))
for i in range(n):
if i==0:
print(arr[i+1]-arr[i],arr[n-1]-arr[i])
elif i==n-1:
print(arr[i]-arr[i-1],arr[i]-arr[0])
else:
print(min(arr[i]-arr[i-1],arr[i+1]-arr[i]),max(arr[i]-arr[0],arr[n-1]-arr[i]))
``` | 3 | |
41 | C | Email address | PROGRAMMING | 1,300 | [
"expression parsing",
"implementation"
] | C. Email address | 2 | 256 | Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address ([[email protected]](/cdn-cgi/l/email-protection)).
It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots.
You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result.
Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at. | The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols. | Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages).
In the ASCII table the symbols go in this order: . @ ab...z | [
"vasyaatgmaildotcom\n",
"dotdotdotatdotdotat\n",
"aatt\n"
] | [
"[email protected]\n",
"[email protected]\n",
"a@t\n"
] | none | 1,500 | [
{
"input": "vasyaatgmaildotcom",
"output": "vasya@gmail.com"
},
{
"input": "dotdotdotatdotdotat",
"output": "dot..@..at"
},
{
"input": "aatt",
"output": "a@t"
},
{
"input": "zdotdotatdotz",
"output": "z..@.z"
},
{
"input": "dotdotdotdotatdotatatatdotdotdot",
"... | 1,675,679,937 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 4 | 62 | 0 | x=input()
if x[0:2]=='at' or x[0:3]=='dot':
a=x[2:-2].replace('dot' , '.')
b=a.replace('at',"@")
print('{}{}{}'.format(x[0:2],b ,x[-2:]) )
else:
a = x.replace('dot', '.')
b = a.replace('at', "@")
print(b)
| Title: Email address
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Sometimes one has to spell email addresses over the phone. Then one usually pronounces a dot as dot, an at sign as at. As a result, we get something like vasyaatgmaildotcom. Your task is to transform it into a proper email address ([[email protected]](/cdn-cgi/l/email-protection)).
It is known that a proper email address contains only such symbols as . @ and lower-case Latin letters, doesn't start with and doesn't end with a dot. Also, a proper email address doesn't start with and doesn't end with an at sign. Moreover, an email address contains exactly one such symbol as @, yet may contain any number (possible, zero) of dots.
You have to carry out a series of replacements so that the length of the result was as short as possible and it was a proper email address. If the lengths are equal, you should print the lexicographically minimal result.
Overall, two variants of replacement are possible: dot can be replaced by a dot, at can be replaced by an at.
Input Specification:
The first line contains the email address description. It is guaranteed that that is a proper email address with all the dots replaced by dot an the at signs replaced by at. The line is not empty and its length does not exceed 100 symbols.
Output Specification:
Print the shortest email address, from which the given line could be made by the described above replacements. If there are several solutions to that problem, print the lexicographically minimal one (the lexicographical comparison of the lines are implemented with an operator < in modern programming languages).
In the ASCII table the symbols go in this order: . @ ab...z
Demo Input:
['vasyaatgmaildotcom\n', 'dotdotdotatdotdotat\n', 'aatt\n']
Demo Output:
['[email\xa0protected]\n', '[email\xa0protected]\n', 'a@t\n']
Note:
none | ```python
x=input()
if x[0:2]=='at' or x[0:3]=='dot':
a=x[2:-2].replace('dot' , '.')
b=a.replace('at',"@")
print('{}{}{}'.format(x[0:2],b ,x[-2:]) )
else:
a = x.replace('dot', '.')
b = a.replace('at', "@")
print(b)
``` | 0 |
259 | A | Little Elephant and Chess | PROGRAMMING | 1,000 | [
"brute force",
"strings"
] | null | null | The Little Elephant loves chess very much.
One day the Little Elephant and his friend decided to play chess. They've got the chess pieces but the board is a problem. They've got an 8<=×<=8 checkered board, each square is painted either black or white. The Little Elephant and his friend know that a proper chessboard doesn't have any side-adjacent cells with the same color and the upper left cell is white. To play chess, they want to make the board they have a proper chessboard. For that the friends can choose any row of the board and cyclically shift the cells of the chosen row, that is, put the last (rightmost) square on the first place in the row and shift the others one position to the right. You can run the described operation multiple times (or not run it at all).
For example, if the first line of the board looks like that "BBBBBBWW" (the white cells of the line are marked with character "W", the black cells are marked with character "B"), then after one cyclic shift it will look like that "WBBBBBBW".
Help the Little Elephant and his friend to find out whether they can use any number of the described operations to turn the board they have into a proper chessboard. | The input consists of exactly eight lines. Each line contains exactly eight characters "W" or "B" without any spaces: the *j*-th character in the *i*-th line stands for the color of the *j*-th cell of the *i*-th row of the elephants' board. Character "W" stands for the white color, character "B" stands for the black color.
Consider the rows of the board numbered from 1 to 8 from top to bottom, and the columns — from 1 to 8 from left to right. The given board can initially be a proper chessboard. | In a single line print "YES" (without the quotes), if we can make the board a proper chessboard and "NO" (without the quotes) otherwise. | [
"WBWBWBWB\nBWBWBWBW\nBWBWBWBW\nBWBWBWBW\nWBWBWBWB\nWBWBWBWB\nBWBWBWBW\nWBWBWBWB\n",
"WBWBWBWB\nWBWBWBWB\nBBWBWWWB\nBWBWBWBW\nBWBWBWBW\nBWBWBWWW\nBWBWBWBW\nBWBWBWBW\n"
] | [
"YES\n",
"NO\n"
] | In the first sample you should shift the following lines one position to the right: the 3-rd, the 6-th, the 7-th and the 8-th.
In the second sample there is no way you can achieve the goal. | 500 | [
{
"input": "WBWBWBWB\nBWBWBWBW\nBWBWBWBW\nBWBWBWBW\nWBWBWBWB\nWBWBWBWB\nBWBWBWBW\nWBWBWBWB",
"output": "YES"
},
{
"input": "WBWBWBWB\nWBWBWBWB\nBBWBWWWB\nBWBWBWBW\nBWBWBWBW\nBWBWBWWW\nBWBWBWBW\nBWBWBWBW",
"output": "NO"
},
{
"input": "BWBWBWBW\nWBWBWBWB\nBWBWBWBW\nBWBWBWBW\nWBWBWBWB\nWBW... | 1,604,644,771 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 8 | 186 | 0 | w = 0
b = 0
for i in range(8):
str = input()
w += str.count('W')
b += str.count('B')
if b == 32 and w == 32:
print('YES')
else:
print('NO') | Title: Little Elephant and Chess
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
The Little Elephant loves chess very much.
One day the Little Elephant and his friend decided to play chess. They've got the chess pieces but the board is a problem. They've got an 8<=×<=8 checkered board, each square is painted either black or white. The Little Elephant and his friend know that a proper chessboard doesn't have any side-adjacent cells with the same color and the upper left cell is white. To play chess, they want to make the board they have a proper chessboard. For that the friends can choose any row of the board and cyclically shift the cells of the chosen row, that is, put the last (rightmost) square on the first place in the row and shift the others one position to the right. You can run the described operation multiple times (or not run it at all).
For example, if the first line of the board looks like that "BBBBBBWW" (the white cells of the line are marked with character "W", the black cells are marked with character "B"), then after one cyclic shift it will look like that "WBBBBBBW".
Help the Little Elephant and his friend to find out whether they can use any number of the described operations to turn the board they have into a proper chessboard.
Input Specification:
The input consists of exactly eight lines. Each line contains exactly eight characters "W" or "B" without any spaces: the *j*-th character in the *i*-th line stands for the color of the *j*-th cell of the *i*-th row of the elephants' board. Character "W" stands for the white color, character "B" stands for the black color.
Consider the rows of the board numbered from 1 to 8 from top to bottom, and the columns — from 1 to 8 from left to right. The given board can initially be a proper chessboard.
Output Specification:
In a single line print "YES" (without the quotes), if we can make the board a proper chessboard and "NO" (without the quotes) otherwise.
Demo Input:
['WBWBWBWB\nBWBWBWBW\nBWBWBWBW\nBWBWBWBW\nWBWBWBWB\nWBWBWBWB\nBWBWBWBW\nWBWBWBWB\n', 'WBWBWBWB\nWBWBWBWB\nBBWBWWWB\nBWBWBWBW\nBWBWBWBW\nBWBWBWWW\nBWBWBWBW\nBWBWBWBW\n']
Demo Output:
['YES\n', 'NO\n']
Note:
In the first sample you should shift the following lines one position to the right: the 3-rd, the 6-th, the 7-th and the 8-th.
In the second sample there is no way you can achieve the goal. | ```python
w = 0
b = 0
for i in range(8):
str = input()
w += str.count('W')
b += str.count('B')
if b == 32 and w == 32:
print('YES')
else:
print('NO')
``` | 0 | |
770 | A | New Password | PROGRAMMING | 800 | [
"*special",
"implementation"
] | null | null | Innokentiy decides to change the password in the social net "Contact!", but he is too lazy to invent a new password by himself. That is why he needs your help.
Innokentiy decides that new password should satisfy the following conditions:
- the length of the password must be equal to *n*, - the password should consist only of lowercase Latin letters, - the number of distinct symbols in the password must be equal to *k*, - any two consecutive symbols in the password must be distinct.
Your task is to help Innokentiy and to invent a new password which will satisfy all given conditions. | The first line contains two positive integers *n* and *k* (2<=≤<=*n*<=≤<=100, 2<=≤<=*k*<=≤<=*min*(*n*,<=26)) — the length of the password and the number of distinct symbols in it.
Pay attention that a desired new password always exists. | Print any password which satisfies all conditions given by Innokentiy. | [
"4 3\n",
"6 6\n",
"5 2\n"
] | [
"java\n",
"python\n",
"phphp\n"
] | In the first test there is one of the appropriate new passwords — java, because its length is equal to 4 and 3 distinct lowercase letters a, j and v are used in it.
In the second test there is one of the appropriate new passwords — python, because its length is equal to 6 and it consists of 6 distinct lowercase letters.
In the third test there is one of the appropriate new passwords — phphp, because its length is equal to 5 and 2 distinct lowercase letters p and h are used in it.
Pay attention the condition that no two identical symbols are consecutive is correct for all appropriate passwords in tests. | 500 | [
{
"input": "4 3",
"output": "abca"
},
{
"input": "6 6",
"output": "abcdef"
},
{
"input": "5 2",
"output": "ababa"
},
{
"input": "3 2",
"output": "aba"
},
{
"input": "10 2",
"output": "ababababab"
},
{
"input": "26 13",
"output": "abcdefghijklmabcde... | 1,620,421,674 | 2,147,483,647 | PyPy 3 | OK | TESTS | 47 | 171 | 22,220,800 | from string import ascii_lowercase as alphabet
n, k = map(int, input().split())
ind = 0
s = ''
for i in range(n):
s += alphabet[ind]
ind += 1
if ind == k:
ind = 0
print(s) | Title: New Password
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Innokentiy decides to change the password in the social net "Contact!", but he is too lazy to invent a new password by himself. That is why he needs your help.
Innokentiy decides that new password should satisfy the following conditions:
- the length of the password must be equal to *n*, - the password should consist only of lowercase Latin letters, - the number of distinct symbols in the password must be equal to *k*, - any two consecutive symbols in the password must be distinct.
Your task is to help Innokentiy and to invent a new password which will satisfy all given conditions.
Input Specification:
The first line contains two positive integers *n* and *k* (2<=≤<=*n*<=≤<=100, 2<=≤<=*k*<=≤<=*min*(*n*,<=26)) — the length of the password and the number of distinct symbols in it.
Pay attention that a desired new password always exists.
Output Specification:
Print any password which satisfies all conditions given by Innokentiy.
Demo Input:
['4 3\n', '6 6\n', '5 2\n']
Demo Output:
['java\n', 'python\n', 'phphp\n']
Note:
In the first test there is one of the appropriate new passwords — java, because its length is equal to 4 and 3 distinct lowercase letters a, j and v are used in it.
In the second test there is one of the appropriate new passwords — python, because its length is equal to 6 and it consists of 6 distinct lowercase letters.
In the third test there is one of the appropriate new passwords — phphp, because its length is equal to 5 and 2 distinct lowercase letters p and h are used in it.
Pay attention the condition that no two identical symbols are consecutive is correct for all appropriate passwords in tests. | ```python
from string import ascii_lowercase as alphabet
n, k = map(int, input().split())
ind = 0
s = ''
for i in range(n):
s += alphabet[ind]
ind += 1
if ind == k:
ind = 0
print(s)
``` | 3 | |
762 | B | USB vs. PS/2 | PROGRAMMING | 1,400 | [
"greedy",
"implementation",
"sortings",
"two pointers"
] | null | null | Due to the increase in the number of students of Berland State University it was decided to equip a new computer room. You were given the task of buying mouses, and you have to spend as little as possible. After all, the country is in crisis!
The computers bought for the room were different. Some of them had only USB ports, some — only PS/2 ports, and some had both options.
You have found a price list of a certain computer shop. In it, for *m* mouses it is specified the cost and the type of the port that is required to plug the mouse in (USB or PS/2). Each mouse from the list can be bought at most once.
You want to buy some set of mouses from the given price list in such a way so that you maximize the number of computers equipped with mouses (it is not guaranteed that you will be able to equip all of the computers), and in case of equality of this value you want to minimize the total cost of mouses you will buy. | The first line contains three integers *a*, *b* and *c* (0<=≤<=*a*,<=*b*,<=*c*<=≤<=105) — the number of computers that only have USB ports, the number of computers, that only have PS/2 ports, and the number of computers, that have both options, respectively.
The next line contains one integer *m* (0<=≤<=*m*<=≤<=3·105) — the number of mouses in the price list.
The next *m* lines each describe another mouse. The *i*-th line contains first integer *val**i* (1<=≤<=*val**i*<=≤<=109) — the cost of the *i*-th mouse, then the type of port (USB or PS/2) that is required to plug the mouse in. | Output two integers separated by space — the number of equipped computers and the total cost of the mouses you will buy. | [
"2 1 1\n4\n5 USB\n6 PS/2\n3 PS/2\n7 PS/2\n"
] | [
"3 14\n"
] | In the first example you can buy the first three mouses. This way you will equip one of the computers that has only a USB port with a USB mouse, and the two PS/2 mouses you will plug into the computer with PS/2 port and the computer with both ports. | 0 | [
{
"input": "2 1 1\n4\n5 USB\n6 PS/2\n3 PS/2\n7 PS/2",
"output": "3 14"
},
{
"input": "1 4 4\n12\n36949214 USB\n683538043 USB\n595594834 PS/2\n24951774 PS/2\n131512123 USB\n327575645 USB\n30947411 USB\n916758386 PS/2\n474310330 USB\n350512489 USB\n281054887 USB\n875326145 USB",
"output": "8 23453... | 1,617,150,172 | 2,147,483,647 | PyPy 3 | TIME_LIMIT_EXCEEDED | TESTS | 16 | 2,000 | 32,665,600 | u, p, b = tuple(map(int, input().split()))
m = int(input())
inventory = []
for i in range(m):
x, y = input().split()
inventory.append((int(x),y))
inventory.sort()
cost = 0
mouses = 0
for i in range(m):
if inventory[i][1] == "USB":
if u > 0:
u -= 1
cost += inventory[i][0]
mouses += 1
elif b > 0:
b -= 1
cost += inventory[i][0]
mouses += 1
else:
if p > 0:
p -= 1
cost += inventory[i][0]
mouses += 1
elif b > 0:
b -= 1
cost += inventory[i][0]
mouses += 1
print(mouses, cost) | Title: USB vs. PS/2
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Due to the increase in the number of students of Berland State University it was decided to equip a new computer room. You were given the task of buying mouses, and you have to spend as little as possible. After all, the country is in crisis!
The computers bought for the room were different. Some of them had only USB ports, some — only PS/2 ports, and some had both options.
You have found a price list of a certain computer shop. In it, for *m* mouses it is specified the cost and the type of the port that is required to plug the mouse in (USB or PS/2). Each mouse from the list can be bought at most once.
You want to buy some set of mouses from the given price list in such a way so that you maximize the number of computers equipped with mouses (it is not guaranteed that you will be able to equip all of the computers), and in case of equality of this value you want to minimize the total cost of mouses you will buy.
Input Specification:
The first line contains three integers *a*, *b* and *c* (0<=≤<=*a*,<=*b*,<=*c*<=≤<=105) — the number of computers that only have USB ports, the number of computers, that only have PS/2 ports, and the number of computers, that have both options, respectively.
The next line contains one integer *m* (0<=≤<=*m*<=≤<=3·105) — the number of mouses in the price list.
The next *m* lines each describe another mouse. The *i*-th line contains first integer *val**i* (1<=≤<=*val**i*<=≤<=109) — the cost of the *i*-th mouse, then the type of port (USB or PS/2) that is required to plug the mouse in.
Output Specification:
Output two integers separated by space — the number of equipped computers and the total cost of the mouses you will buy.
Demo Input:
['2 1 1\n4\n5 USB\n6 PS/2\n3 PS/2\n7 PS/2\n']
Demo Output:
['3 14\n']
Note:
In the first example you can buy the first three mouses. This way you will equip one of the computers that has only a USB port with a USB mouse, and the two PS/2 mouses you will plug into the computer with PS/2 port and the computer with both ports. | ```python
u, p, b = tuple(map(int, input().split()))
m = int(input())
inventory = []
for i in range(m):
x, y = input().split()
inventory.append((int(x),y))
inventory.sort()
cost = 0
mouses = 0
for i in range(m):
if inventory[i][1] == "USB":
if u > 0:
u -= 1
cost += inventory[i][0]
mouses += 1
elif b > 0:
b -= 1
cost += inventory[i][0]
mouses += 1
else:
if p > 0:
p -= 1
cost += inventory[i][0]
mouses += 1
elif b > 0:
b -= 1
cost += inventory[i][0]
mouses += 1
print(mouses, cost)
``` | 0 | |
59 | A | Word | PROGRAMMING | 800 | [
"implementation",
"strings"
] | A. Word | 2 | 256 | Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word. | The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100. | Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one. | [
"HoUse\n",
"ViP\n",
"maTRIx\n"
] | [
"house\n",
"VIP\n",
"matrix\n"
] | none | 500 | [
{
"input": "HoUse",
"output": "house"
},
{
"input": "ViP",
"output": "VIP"
},
{
"input": "maTRIx",
"output": "matrix"
},
{
"input": "BNHWpnpawg",
"output": "bnhwpnpawg"
},
{
"input": "VTYGP",
"output": "VTYGP"
},
{
"input": "CHNenu",
"output": "chn... | 1,638,900,138 | 2,147,483,647 | PyPy 3 | OK | TESTS | 30 | 154 | 0 | a = input()
l = len(a)
cnt = 0
for i in a:
if i.islower():cnt += 1
print(a.upper() if l / 2 > cnt else a.lower()) | Title: Word
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Vasya is very upset that many people on the Net mix uppercase and lowercase letters in one word. That's why he decided to invent an extension for his favorite browser that would change the letters' register in every word so that it either only consisted of lowercase letters or, vice versa, only of uppercase ones. At that as little as possible letters should be changed in the word. For example, the word HoUse must be replaced with house, and the word ViP — with VIP. If a word contains an equal number of uppercase and lowercase letters, you should replace all the letters with lowercase ones. For example, maTRIx should be replaced by matrix. Your task is to use the given method on one given word.
Input Specification:
The first line contains a word *s* — it consists of uppercase and lowercase Latin letters and possesses the length from 1 to 100.
Output Specification:
Print the corrected word *s*. If the given word *s* has strictly more uppercase letters, make the word written in the uppercase register, otherwise - in the lowercase one.
Demo Input:
['HoUse\n', 'ViP\n', 'maTRIx\n']
Demo Output:
['house\n', 'VIP\n', 'matrix\n']
Note:
none | ```python
a = input()
l = len(a)
cnt = 0
for i in a:
if i.islower():cnt += 1
print(a.upper() if l / 2 > cnt else a.lower())
``` | 3.9615 |
443 | A | Anton and Letters | PROGRAMMING | 800 | [
"constructive algorithms",
"implementation"
] | null | null | Recently, Anton has found a set. The set consists of small English letters. Anton carefully wrote out all the letters from the set in one line, separated by a comma. He also added an opening curved bracket at the beginning of the line and a closing curved bracket at the end of the line.
Unfortunately, from time to time Anton would forget writing some letter and write it again. He asks you to count the total number of distinct letters in his set. | The first and the single line contains the set of letters. The length of the line doesn't exceed 1000. It is guaranteed that the line starts from an opening curved bracket and ends with a closing curved bracket. Between them, small English letters are listed, separated by a comma. Each comma is followed by a space. | Print a single number — the number of distinct letters in Anton's set. | [
"{a, b, c}\n",
"{b, a, b, a}\n",
"{}\n"
] | [
"3\n",
"2\n",
"0\n"
] | none | 500 | [
{
"input": "{a, b, c}",
"output": "3"
},
{
"input": "{b, a, b, a}",
"output": "2"
},
{
"input": "{}",
"output": "0"
},
{
"input": "{a, a, c, b, b, b, c, c, c, c}",
"output": "3"
},
{
"input": "{a, c, b, b}",
"output": "3"
},
{
"input": "{a, b}",
"o... | 1,694,842,849 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 31 | 0 | s=input()
s = s.replace(",", "")
s=set(s)
print(len(s)-2) | Title: Anton and Letters
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Recently, Anton has found a set. The set consists of small English letters. Anton carefully wrote out all the letters from the set in one line, separated by a comma. He also added an opening curved bracket at the beginning of the line and a closing curved bracket at the end of the line.
Unfortunately, from time to time Anton would forget writing some letter and write it again. He asks you to count the total number of distinct letters in his set.
Input Specification:
The first and the single line contains the set of letters. The length of the line doesn't exceed 1000. It is guaranteed that the line starts from an opening curved bracket and ends with a closing curved bracket. Between them, small English letters are listed, separated by a comma. Each comma is followed by a space.
Output Specification:
Print a single number — the number of distinct letters in Anton's set.
Demo Input:
['{a, b, c}\n', '{b, a, b, a}\n', '{}\n']
Demo Output:
['3\n', '2\n', '0\n']
Note:
none | ```python
s=input()
s = s.replace(",", "")
s=set(s)
print(len(s)-2)
``` | 0 | |
464 | E | The Classic Problem | PROGRAMMING | 3,000 | [
"data structures",
"graphs",
"shortest paths"
] | null | null | You are given a weighted undirected graph on *n* vertices and *m* edges. Find the shortest path from vertex *s* to vertex *t* or else state that such path doesn't exist. | The first line of the input contains two space-separated integers — *n* and *m* (1<=≤<=*n*<=≤<=105; 0<=≤<=*m*<=≤<=105).
Next *m* lines contain the description of the graph edges. The *i*-th line contains three space-separated integers — *u**i*, *v**i*, *x**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*; 0<=≤<=*x**i*<=≤<=105). That means that vertices with numbers *u**i* and *v**i* are connected by edge of length 2*x**i* (2 to the power of *x**i*).
The last line contains two space-separated integers — the numbers of vertices *s* and *t*.
The vertices are numbered from 1 to *n*. The graph contains no multiple edges and self-loops. | In the first line print the remainder after dividing the length of the shortest path by 1000000007 (109<=+<=7) if the path exists, and -1 if the path doesn't exist.
If the path exists print in the second line integer *k* — the number of vertices in the shortest path from vertex *s* to vertex *t*; in the third line print *k* space-separated integers — the vertices of the shortest path in the visiting order. The first vertex should be vertex *s*, the last vertex should be vertex *t*. If there are multiple shortest paths, print any of them. | [
"4 4\n1 4 2\n1 2 0\n2 3 0\n3 4 0\n1 4\n",
"4 3\n1 2 4\n2 3 5\n3 4 6\n1 4\n",
"4 2\n1 2 0\n3 4 1\n1 4\n"
] | [
"3\n4\n1 2 3 4 \n",
"112\n4\n1 2 3 4 \n",
"-1\n"
] | A path from vertex *s* to vertex *t* is a sequence *v*<sub class="lower-index">0</sub>, ..., *v*<sub class="lower-index">*k*</sub>, such that *v*<sub class="lower-index">0</sub> = *s*, *v*<sub class="lower-index">*k*</sub> = *t*, and for any *i* from 0 to *k* - 1 vertices *v*<sub class="lower-index">*i*</sub> and *v*<sub class="lower-index">*i* + 1</sub> are connected by an edge.
The length of the path is the sum of weights of edges between *v*<sub class="lower-index">*i*</sub> and *v*<sub class="lower-index">*i* + 1</sub> for all *i* from 0 to *k* - 1.
The shortest path from *s* to *t* is the path which length is minimum among all possible paths from *s* to *t*. | 2,500 | [] | 1,684,119,996 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 14 | 5,000 | 323,788,800 | # https://codeforces.com/contest/464/problem/E
import heapq
def dijkstra(adj_list, start, target):
n = len(adj_list)
distance = [float('inf')] * n
prev = [-1] * n
distance[start] = 0
heap = [(0, start)]
while heap:
dist, node = heapq.heappop(heap)
if node == target:
break
if dist > distance[node]:
continue
for neighbor, weight in adj_list[node]:
new_dist = distance[node] + weight
if new_dist < distance[neighbor]:
distance[neighbor] = new_dist
prev[neighbor] = node
heapq.heappush(heap, (new_dist, neighbor))
if distance[target] == float('inf'):
return None
path = []
curr = target
while curr != -1:
path.append(curr)
curr = prev[curr]
return distance[target], path[::-1]
def main():
n, m = map(int, input().split())
adj_list = [[] for _ in range(n)]
for _ in range(m):
u, v, x = map(int, input().split())
adj_list[u-1].append((v-1, 2**x))
adj_list[v-1].append((u-1, 2**x))
s, t = map(int, input().split())
result = dijkstra(adj_list, s-1, t-1)
if result is None:
print(-1)
else:
dist, path = result
print(dist % 1000000007)
print(len(path))
print(" ".join(str(x+1) for x in path))
if __name__ == "__main__":
main()
| Title: The Classic Problem
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a weighted undirected graph on *n* vertices and *m* edges. Find the shortest path from vertex *s* to vertex *t* or else state that such path doesn't exist.
Input Specification:
The first line of the input contains two space-separated integers — *n* and *m* (1<=≤<=*n*<=≤<=105; 0<=≤<=*m*<=≤<=105).
Next *m* lines contain the description of the graph edges. The *i*-th line contains three space-separated integers — *u**i*, *v**i*, *x**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*; 0<=≤<=*x**i*<=≤<=105). That means that vertices with numbers *u**i* and *v**i* are connected by edge of length 2*x**i* (2 to the power of *x**i*).
The last line contains two space-separated integers — the numbers of vertices *s* and *t*.
The vertices are numbered from 1 to *n*. The graph contains no multiple edges and self-loops.
Output Specification:
In the first line print the remainder after dividing the length of the shortest path by 1000000007 (109<=+<=7) if the path exists, and -1 if the path doesn't exist.
If the path exists print in the second line integer *k* — the number of vertices in the shortest path from vertex *s* to vertex *t*; in the third line print *k* space-separated integers — the vertices of the shortest path in the visiting order. The first vertex should be vertex *s*, the last vertex should be vertex *t*. If there are multiple shortest paths, print any of them.
Demo Input:
['4 4\n1 4 2\n1 2 0\n2 3 0\n3 4 0\n1 4\n', '4 3\n1 2 4\n2 3 5\n3 4 6\n1 4\n', '4 2\n1 2 0\n3 4 1\n1 4\n']
Demo Output:
['3\n4\n1 2 3 4 \n', '112\n4\n1 2 3 4 \n', '-1\n']
Note:
A path from vertex *s* to vertex *t* is a sequence *v*<sub class="lower-index">0</sub>, ..., *v*<sub class="lower-index">*k*</sub>, such that *v*<sub class="lower-index">0</sub> = *s*, *v*<sub class="lower-index">*k*</sub> = *t*, and for any *i* from 0 to *k* - 1 vertices *v*<sub class="lower-index">*i*</sub> and *v*<sub class="lower-index">*i* + 1</sub> are connected by an edge.
The length of the path is the sum of weights of edges between *v*<sub class="lower-index">*i*</sub> and *v*<sub class="lower-index">*i* + 1</sub> for all *i* from 0 to *k* - 1.
The shortest path from *s* to *t* is the path which length is minimum among all possible paths from *s* to *t*. | ```python
# https://codeforces.com/contest/464/problem/E
import heapq
def dijkstra(adj_list, start, target):
n = len(adj_list)
distance = [float('inf')] * n
prev = [-1] * n
distance[start] = 0
heap = [(0, start)]
while heap:
dist, node = heapq.heappop(heap)
if node == target:
break
if dist > distance[node]:
continue
for neighbor, weight in adj_list[node]:
new_dist = distance[node] + weight
if new_dist < distance[neighbor]:
distance[neighbor] = new_dist
prev[neighbor] = node
heapq.heappush(heap, (new_dist, neighbor))
if distance[target] == float('inf'):
return None
path = []
curr = target
while curr != -1:
path.append(curr)
curr = prev[curr]
return distance[target], path[::-1]
def main():
n, m = map(int, input().split())
adj_list = [[] for _ in range(n)]
for _ in range(m):
u, v, x = map(int, input().split())
adj_list[u-1].append((v-1, 2**x))
adj_list[v-1].append((u-1, 2**x))
s, t = map(int, input().split())
result = dijkstra(adj_list, s-1, t-1)
if result is None:
print(-1)
else:
dist, path = result
print(dist % 1000000007)
print(len(path))
print(" ".join(str(x+1) for x in path))
if __name__ == "__main__":
main()
``` | 0 | |
478 | A | Initial Bet | PROGRAMMING | 1,100 | [
"implementation"
] | null | null | There are five people playing a game called "Generosity". Each person gives some non-zero number of coins *b* as an initial bet. After all players make their bets of *b* coins, the following operation is repeated for several times: a coin is passed from one player to some other player.
Your task is to write a program that can, given the number of coins each player has at the end of the game, determine the size *b* of the initial bet or find out that such outcome of the game cannot be obtained for any positive number of coins *b* in the initial bet. | The input consists of a single line containing five integers *c*1,<=*c*2,<=*c*3,<=*c*4 and *c*5 — the number of coins that the first, second, third, fourth and fifth players respectively have at the end of the game (0<=≤<=*c*1,<=*c*2,<=*c*3,<=*c*4,<=*c*5<=≤<=100). | Print the only line containing a single positive integer *b* — the number of coins in the initial bet of each player. If there is no such value of *b*, then print the only value "-1" (quotes for clarity). | [
"2 5 4 0 4\n",
"4 5 9 2 1\n"
] | [
"3\n",
"-1\n"
] | In the first sample the following sequence of operations is possible:
1. One coin is passed from the fourth player to the second player; 1. One coin is passed from the fourth player to the fifth player; 1. One coin is passed from the first player to the third player; 1. One coin is passed from the fourth player to the second player. | 500 | [
{
"input": "2 5 4 0 4",
"output": "3"
},
{
"input": "4 5 9 2 1",
"output": "-1"
},
{
"input": "0 0 0 0 0",
"output": "-1"
},
{
"input": "1 2 1 2 3",
"output": "-1"
},
{
"input": "100 0 0 0 0",
"output": "20"
},
{
"input": "2 3 4 5 6",
"output": "4"... | 1,683,620,266 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 2 | 31 | 0 | arr = list(map(int, input().split(' ')))
maxi = max(arr)
flag = 0
for i in range(maxi):
sumi = 0
for j in range (5):
sumi += arr[j]-i
if sumi == 0:
print(i)
flag = 0
break
else:
flag = 1
if flag == 1:
print("-1") | Title: Initial Bet
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
There are five people playing a game called "Generosity". Each person gives some non-zero number of coins *b* as an initial bet. After all players make their bets of *b* coins, the following operation is repeated for several times: a coin is passed from one player to some other player.
Your task is to write a program that can, given the number of coins each player has at the end of the game, determine the size *b* of the initial bet or find out that such outcome of the game cannot be obtained for any positive number of coins *b* in the initial bet.
Input Specification:
The input consists of a single line containing five integers *c*1,<=*c*2,<=*c*3,<=*c*4 and *c*5 — the number of coins that the first, second, third, fourth and fifth players respectively have at the end of the game (0<=≤<=*c*1,<=*c*2,<=*c*3,<=*c*4,<=*c*5<=≤<=100).
Output Specification:
Print the only line containing a single positive integer *b* — the number of coins in the initial bet of each player. If there is no such value of *b*, then print the only value "-1" (quotes for clarity).
Demo Input:
['2 5 4 0 4\n', '4 5 9 2 1\n']
Demo Output:
['3\n', '-1\n']
Note:
In the first sample the following sequence of operations is possible:
1. One coin is passed from the fourth player to the second player; 1. One coin is passed from the fourth player to the fifth player; 1. One coin is passed from the first player to the third player; 1. One coin is passed from the fourth player to the second player. | ```python
arr = list(map(int, input().split(' ')))
maxi = max(arr)
flag = 0
for i in range(maxi):
sumi = 0
for j in range (5):
sumi += arr[j]-i
if sumi == 0:
print(i)
flag = 0
break
else:
flag = 1
if flag == 1:
print("-1")
``` | 0 | |
330 | A | Cakeminator | PROGRAMMING | 800 | [
"brute force",
"implementation"
] | null | null | You are given a rectangular cake, represented as an *r*<=×<=*c* grid. Each cell either has an evil strawberry, or is empty. For example, a 3<=×<=4 cake may look as follows:
The cakeminator is going to eat the cake! Each time he eats, he chooses a row or a column that does not contain any evil strawberries and contains at least one cake cell that has not been eaten before, and eats all the cake cells there. He may decide to eat any number of times.
Please output the maximum number of cake cells that the cakeminator can eat. | The first line contains two integers *r* and *c* (2<=≤<=*r*,<=*c*<=≤<=10), denoting the number of rows and the number of columns of the cake. The next *r* lines each contains *c* characters — the *j*-th character of the *i*-th line denotes the content of the cell at row *i* and column *j*, and is either one of these:
- '.' character denotes a cake cell with no evil strawberry; - 'S' character denotes a cake cell with an evil strawberry. | Output the maximum number of cake cells that the cakeminator can eat. | [
"3 4\nS...\n....\n..S.\n"
] | [
"8\n"
] | For the first example, one possible way to eat the maximum number of cake cells is as follows (perform 3 eats). | 500 | [
{
"input": "3 4\nS...\n....\n..S.",
"output": "8"
},
{
"input": "2 2\n..\n..",
"output": "4"
},
{
"input": "2 2\nSS\nSS",
"output": "0"
},
{
"input": "7 3\nS..\nS..\nS..\nS..\nS..\nS..\nS..",
"output": "14"
},
{
"input": "3 5\n..S..\nSSSSS\n..S..",
"output": "... | 1,674,132,139 | 2,147,483,647 | Python 3 | OK | TESTS | 42 | 92 | 0 | r, c = [int(i) for i in input().split()]
arr = []
s = 0
res = 0
c_s = 0
for i in range(r):
x = input()
arr.append(x)
if 'S' in x:
s += 1
res += (r - s) * c
for i in range(c):
straw = False
for j in range(r):
if arr[j][i] == 'S':
straw = True
break
if not straw:
c_s += 1
res += s * c_s
print(res)
| Title: Cakeminator
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a rectangular cake, represented as an *r*<=×<=*c* grid. Each cell either has an evil strawberry, or is empty. For example, a 3<=×<=4 cake may look as follows:
The cakeminator is going to eat the cake! Each time he eats, he chooses a row or a column that does not contain any evil strawberries and contains at least one cake cell that has not been eaten before, and eats all the cake cells there. He may decide to eat any number of times.
Please output the maximum number of cake cells that the cakeminator can eat.
Input Specification:
The first line contains two integers *r* and *c* (2<=≤<=*r*,<=*c*<=≤<=10), denoting the number of rows and the number of columns of the cake. The next *r* lines each contains *c* characters — the *j*-th character of the *i*-th line denotes the content of the cell at row *i* and column *j*, and is either one of these:
- '.' character denotes a cake cell with no evil strawberry; - 'S' character denotes a cake cell with an evil strawberry.
Output Specification:
Output the maximum number of cake cells that the cakeminator can eat.
Demo Input:
['3 4\nS...\n....\n..S.\n']
Demo Output:
['8\n']
Note:
For the first example, one possible way to eat the maximum number of cake cells is as follows (perform 3 eats). | ```python
r, c = [int(i) for i in input().split()]
arr = []
s = 0
res = 0
c_s = 0
for i in range(r):
x = input()
arr.append(x)
if 'S' in x:
s += 1
res += (r - s) * c
for i in range(c):
straw = False
for j in range(r):
if arr[j][i] == 'S':
straw = True
break
if not straw:
c_s += 1
res += s * c_s
print(res)
``` | 3 | |
805 | A | Fake NP | PROGRAMMING | 1,000 | [
"greedy",
"math"
] | null | null | Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given *l* and *r*. For all integers from *l* to *r*, inclusive, we wrote down all of their integer divisors except 1. Find the integer that we wrote down the maximum number of times.
Solve the problem to show that it's not a NP problem. | The first line contains two integers *l* and *r* (2<=≤<=*l*<=≤<=*r*<=≤<=109). | Print single integer, the integer that appears maximum number of times in the divisors.
If there are multiple answers, print any of them. | [
"19 29\n",
"3 6\n"
] | [
"2\n",
"3\n"
] | Definition of a divisor: [https://www.mathsisfun.com/definitions/divisor-of-an-integer-.html](https://www.mathsisfun.com/definitions/divisor-of-an-integer-.html)
The first example: from 19 to 29 these numbers are divisible by 2: {20, 22, 24, 26, 28}.
The second example: from 3 to 6 these numbers are divisible by 3: {3, 6}. | 500 | [
{
"input": "19 29",
"output": "2"
},
{
"input": "3 6",
"output": "2"
},
{
"input": "39 91",
"output": "2"
},
{
"input": "76 134",
"output": "2"
},
{
"input": "93 95",
"output": "2"
},
{
"input": "17 35",
"output": "2"
},
{
"input": "94 95",... | 1,628,053,717 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 24 | 62 | 6,758,400 | a,b=list(map(int,input().split()))
print(2) | Title: Fake NP
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Tavak and Seyyed are good friends. Seyyed is very funny and he told Tavak to solve the following problem instead of longest-path.
You are given *l* and *r*. For all integers from *l* to *r*, inclusive, we wrote down all of their integer divisors except 1. Find the integer that we wrote down the maximum number of times.
Solve the problem to show that it's not a NP problem.
Input Specification:
The first line contains two integers *l* and *r* (2<=≤<=*l*<=≤<=*r*<=≤<=109).
Output Specification:
Print single integer, the integer that appears maximum number of times in the divisors.
If there are multiple answers, print any of them.
Demo Input:
['19 29\n', '3 6\n']
Demo Output:
['2\n', '3\n']
Note:
Definition of a divisor: [https://www.mathsisfun.com/definitions/divisor-of-an-integer-.html](https://www.mathsisfun.com/definitions/divisor-of-an-integer-.html)
The first example: from 19 to 29 these numbers are divisible by 2: {20, 22, 24, 26, 28}.
The second example: from 3 to 6 these numbers are divisible by 3: {3, 6}. | ```python
a,b=list(map(int,input().split()))
print(2)
``` | 0 | |
617 | A | Elephant | PROGRAMMING | 800 | [
"math"
] | null | null | An elephant decided to visit his friend. It turned out that the elephant's house is located at point 0 and his friend's house is located at point *x*(*x*<=><=0) of the coordinate line. In one step the elephant can move 1, 2, 3, 4 or 5 positions forward. Determine, what is the minimum number of steps he need to make in order to get to his friend's house. | The first line of the input contains an integer *x* (1<=≤<=*x*<=≤<=1<=000<=000) — The coordinate of the friend's house. | Print the minimum number of steps that elephant needs to make to get from point 0 to point *x*. | [
"5\n",
"12\n"
] | [
"1\n",
"3\n"
] | In the first sample the elephant needs to make one step of length 5 to reach the point *x*.
In the second sample the elephant can get to point *x* if he moves by 3, 5 and 4. There are other ways to get the optimal answer but the elephant cannot reach *x* in less than three moves. | 500 | [
{
"input": "5",
"output": "1"
},
{
"input": "12",
"output": "3"
},
{
"input": "999999",
"output": "200000"
},
{
"input": "41",
"output": "9"
},
{
"input": "1000000",
"output": "200000"
},
{
"input": "1",
"output": "1"
},
{
"input": "2",
... | 1,699,132,877 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 15 | 0 | #I - Elephant
num=int(input())
if num%5 ==0:
print(num/5)
else :
print((num//5)+1)
| Title: Elephant
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
An elephant decided to visit his friend. It turned out that the elephant's house is located at point 0 and his friend's house is located at point *x*(*x*<=><=0) of the coordinate line. In one step the elephant can move 1, 2, 3, 4 or 5 positions forward. Determine, what is the minimum number of steps he need to make in order to get to his friend's house.
Input Specification:
The first line of the input contains an integer *x* (1<=≤<=*x*<=≤<=1<=000<=000) — The coordinate of the friend's house.
Output Specification:
Print the minimum number of steps that elephant needs to make to get from point 0 to point *x*.
Demo Input:
['5\n', '12\n']
Demo Output:
['1\n', '3\n']
Note:
In the first sample the elephant needs to make one step of length 5 to reach the point *x*.
In the second sample the elephant can get to point *x* if he moves by 3, 5 and 4. There are other ways to get the optimal answer but the elephant cannot reach *x* in less than three moves. | ```python
#I - Elephant
num=int(input())
if num%5 ==0:
print(num/5)
else :
print((num//5)+1)
``` | 0 | |
727 | A | Transformation: from A to B | PROGRAMMING | 1,000 | [
"brute force",
"dfs and similar",
"math"
] | null | null | Vasily has a number *a*, which he wants to turn into a number *b*. For this purpose, he can do two types of operations:
- multiply the current number by 2 (that is, replace the number *x* by 2·*x*); - append the digit 1 to the right of current number (that is, replace the number *x* by 10·*x*<=+<=1).
You need to help Vasily to transform the number *a* into the number *b* using only the operations described above, or find that it is impossible.
Note that in this task you are not required to minimize the number of operations. It suffices to find any way to transform *a* into *b*. | The first line contains two positive integers *a* and *b* (1<=≤<=*a*<=<<=*b*<=≤<=109) — the number which Vasily has and the number he wants to have. | If there is no way to get *b* from *a*, print "NO" (without quotes).
Otherwise print three lines. On the first line print "YES" (without quotes). The second line should contain single integer *k* — the length of the transformation sequence. On the third line print the sequence of transformations *x*1,<=*x*2,<=...,<=*x**k*, where:
- *x*1 should be equal to *a*, - *x**k* should be equal to *b*, - *x**i* should be obtained from *x**i*<=-<=1 using any of two described operations (1<=<<=*i*<=≤<=*k*).
If there are multiple answers, print any of them. | [
"2 162\n",
"4 42\n",
"100 40021\n"
] | [
"YES\n5\n2 4 8 81 162 \n",
"NO\n",
"YES\n5\n100 200 2001 4002 40021 \n"
] | none | 1,000 | [
{
"input": "2 162",
"output": "YES\n5\n2 4 8 81 162 "
},
{
"input": "4 42",
"output": "NO"
},
{
"input": "100 40021",
"output": "YES\n5\n100 200 2001 4002 40021 "
},
{
"input": "1 111111111",
"output": "YES\n9\n1 11 111 1111 11111 111111 1111111 11111111 111111111 "
},
... | 1,683,669,270 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 0 | 30 | 0 | a, b = map(int, input().split())
ops = []
while b > a:
if b % 2 == 0:
b //= 2
ops.append("/")
elif b % 10 == 1:
b //= 10
ops.append("-")
else:
break
if b == a:
ops.reverse()
print("YES")
print(len(ops))
print(a, end=" ")
for op in ops:
if op == "/":
a *= 2
else:
a = a * 10 + 1
print(a, end=" ")
else:
print("NO")
| Title: Transformation: from A to B
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Vasily has a number *a*, which he wants to turn into a number *b*. For this purpose, he can do two types of operations:
- multiply the current number by 2 (that is, replace the number *x* by 2·*x*); - append the digit 1 to the right of current number (that is, replace the number *x* by 10·*x*<=+<=1).
You need to help Vasily to transform the number *a* into the number *b* using only the operations described above, or find that it is impossible.
Note that in this task you are not required to minimize the number of operations. It suffices to find any way to transform *a* into *b*.
Input Specification:
The first line contains two positive integers *a* and *b* (1<=≤<=*a*<=<<=*b*<=≤<=109) — the number which Vasily has and the number he wants to have.
Output Specification:
If there is no way to get *b* from *a*, print "NO" (without quotes).
Otherwise print three lines. On the first line print "YES" (without quotes). The second line should contain single integer *k* — the length of the transformation sequence. On the third line print the sequence of transformations *x*1,<=*x*2,<=...,<=*x**k*, where:
- *x*1 should be equal to *a*, - *x**k* should be equal to *b*, - *x**i* should be obtained from *x**i*<=-<=1 using any of two described operations (1<=<<=*i*<=≤<=*k*).
If there are multiple answers, print any of them.
Demo Input:
['2 162\n', '4 42\n', '100 40021\n']
Demo Output:
['YES\n5\n2 4 8 81 162 \n', 'NO\n', 'YES\n5\n100 200 2001 4002 40021 \n']
Note:
none | ```python
a, b = map(int, input().split())
ops = []
while b > a:
if b % 2 == 0:
b //= 2
ops.append("/")
elif b % 10 == 1:
b //= 10
ops.append("-")
else:
break
if b == a:
ops.reverse()
print("YES")
print(len(ops))
print(a, end=" ")
for op in ops:
if op == "/":
a *= 2
else:
a = a * 10 + 1
print(a, end=" ")
else:
print("NO")
``` | 0 | |
1,009 | B | Minimum Ternary String | PROGRAMMING | 1,400 | [
"greedy",
"implementation"
] | null | null | You are given a ternary string (it is a string which consists only of characters '0', '1' and '2').
You can swap any two adjacent (consecutive) characters '0' and '1' (i.e. replace "01" with "10" or vice versa) or any two adjacent (consecutive) characters '1' and '2' (i.e. replace "12" with "21" or vice versa).
For example, for string "010210" we can perform the following moves:
- "010210" $\rightarrow$ "100210"; - "010210" $\rightarrow$ "001210"; - "010210" $\rightarrow$ "010120"; - "010210" $\rightarrow$ "010201".
Note than you cannot swap "02" $\rightarrow$ "20" and vice versa. You cannot perform any other operations with the given string excluding described above.
You task is to obtain the minimum possible (lexicographically) string by using these swaps arbitrary number of times (possibly, zero).
String $a$ is lexicographically less than string $b$ (if strings $a$ and $b$ have the same length) if there exists some position $i$ ($1 \le i \le |a|$, where $|s|$ is the length of the string $s$) such that for every $j < i$ holds $a_j = b_j$, and $a_i < b_i$. | The first line of the input contains the string $s$ consisting only of characters '0', '1' and '2', its length is between $1$ and $10^5$ (inclusive). | Print a single string — the minimum possible (lexicographically) string you can obtain by using the swaps described above arbitrary number of times (possibly, zero). | [
"100210\n",
"11222121\n",
"20\n"
] | [
"001120\n",
"11112222\n",
"20\n"
] | none | 0 | [
{
"input": "100210",
"output": "001120"
},
{
"input": "11222121",
"output": "11112222"
},
{
"input": "20",
"output": "20"
},
{
"input": "1002",
"output": "0012"
},
{
"input": "10",
"output": "01"
},
{
"input": "000021",
"output": "000012"
},
{
... | 1,532,446,629 | 2,147,483,647 | Python 3 | RUNTIME_ERROR | TESTS | 5 | 109 | 204,800 | s = input()
s1 = ""
for i in s:
if i == '1':
s1 += '1'
s = s.replace('1', '')
pos = s.index('2')
s = s[:pos] + s1 + s[pos:]
print(s) | Title: Minimum Ternary String
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given a ternary string (it is a string which consists only of characters '0', '1' and '2').
You can swap any two adjacent (consecutive) characters '0' and '1' (i.e. replace "01" with "10" or vice versa) or any two adjacent (consecutive) characters '1' and '2' (i.e. replace "12" with "21" or vice versa).
For example, for string "010210" we can perform the following moves:
- "010210" $\rightarrow$ "100210"; - "010210" $\rightarrow$ "001210"; - "010210" $\rightarrow$ "010120"; - "010210" $\rightarrow$ "010201".
Note than you cannot swap "02" $\rightarrow$ "20" and vice versa. You cannot perform any other operations with the given string excluding described above.
You task is to obtain the minimum possible (lexicographically) string by using these swaps arbitrary number of times (possibly, zero).
String $a$ is lexicographically less than string $b$ (if strings $a$ and $b$ have the same length) if there exists some position $i$ ($1 \le i \le |a|$, where $|s|$ is the length of the string $s$) such that for every $j < i$ holds $a_j = b_j$, and $a_i < b_i$.
Input Specification:
The first line of the input contains the string $s$ consisting only of characters '0', '1' and '2', its length is between $1$ and $10^5$ (inclusive).
Output Specification:
Print a single string — the minimum possible (lexicographically) string you can obtain by using the swaps described above arbitrary number of times (possibly, zero).
Demo Input:
['100210\n', '11222121\n', '20\n']
Demo Output:
['001120\n', '11112222\n', '20\n']
Note:
none | ```python
s = input()
s1 = ""
for i in s:
if i == '1':
s1 += '1'
s = s.replace('1', '')
pos = s.index('2')
s = s[:pos] + s1 + s[pos:]
print(s)
``` | -1 | |
61 | A | Ultra-Fast Mathematician | PROGRAMMING | 800 | [
"implementation"
] | A. Ultra-Fast Mathematician | 2 | 256 | Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate. | There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100. | Write one line — the corresponding answer. Do not omit the leading 0s. | [
"1010100\n0100101\n",
"000\n111\n",
"1110\n1010\n",
"01110\n01100\n"
] | [
"1110001\n",
"111\n",
"0100\n",
"00010\n"
] | none | 500 | [
{
"input": "1010100\n0100101",
"output": "1110001"
},
{
"input": "000\n111",
"output": "111"
},
{
"input": "1110\n1010",
"output": "0100"
},
{
"input": "01110\n01100",
"output": "00010"
},
{
"input": "011101\n000001",
"output": "011100"
},
{
"input": "... | 1,616,587,027 | 2,147,483,647 | Python 3 | OK | TESTS | 102 | 77 | 0 | a=input()
b=input()
count=0
for j in a:
if j == '0' or j == '1':
count+=1
res = [int(x) for x in str(a)]
k = [int(x) for x in str(b)]
for i in range (count):
if res[i] == k[i]:
print("0",end="")
else:
print("1",end="") | Title: Ultra-Fast Mathematician
Time Limit: 2 seconds
Memory Limit: 256 megabytes
Problem Description:
Shapur was an extremely gifted student. He was great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He was not only smart but extraordinarily fast! He could manage to sum 1018 numbers in a single second.
One day in 230 AD Shapur was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part.
In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The *i*-th digit of the answer is 1 if and only if the *i*-th digit of the two given numbers differ. In the other case the *i*-th digit of the answer is 0.
Shapur made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length.
Now you are going to take part in Shapur's contest. See if you are faster and more accurate.
Input Specification:
There are two lines in each input. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0. The length of each number doesn't exceed 100.
Output Specification:
Write one line — the corresponding answer. Do not omit the leading 0s.
Demo Input:
['1010100\n0100101\n', '000\n111\n', '1110\n1010\n', '01110\n01100\n']
Demo Output:
['1110001\n', '111\n', '0100\n', '00010\n']
Note:
none | ```python
a=input()
b=input()
count=0
for j in a:
if j == '0' or j == '1':
count+=1
res = [int(x) for x in str(a)]
k = [int(x) for x in str(b)]
for i in range (count):
if res[i] == k[i]:
print("0",end="")
else:
print("1",end="")
``` | 3.98075 |
780 | A | Andryusha and Socks | PROGRAMMING | 800 | [
"implementation"
] | null | null | Andryusha is an orderly boy and likes to keep things in their place.
Today he faced a problem to put his socks in the wardrobe. He has *n* distinct pairs of socks which are initially in a bag. The pairs are numbered from 1 to *n*. Andryusha wants to put paired socks together and put them in the wardrobe. He takes the socks one by one from the bag, and for each sock he looks whether the pair of this sock has been already took out of the bag, or not. If not (that means the pair of this sock is still in the bag), he puts the current socks on the table in front of him. Otherwise, he puts both socks from the pair to the wardrobe.
Andryusha remembers the order in which he took the socks from the bag. Can you tell him what is the maximum number of socks that were on the table at the same time? | The first line contains the single integer *n* (1<=≤<=*n*<=≤<=105) — the number of sock pairs.
The second line contains 2*n* integers *x*1,<=*x*2,<=...,<=*x*2*n* (1<=≤<=*x**i*<=≤<=*n*), which describe the order in which Andryusha took the socks from the bag. More precisely, *x**i* means that the *i*-th sock Andryusha took out was from pair *x**i*.
It is guaranteed that Andryusha took exactly two socks of each pair. | Print single integer — the maximum number of socks that were on the table at the same time. | [
"1\n1 1\n",
"3\n2 1 1 3 2 3\n"
] | [
"1\n",
"2\n"
] | In the first example Andryusha took a sock from the first pair and put it on the table. Then he took the next sock which is from the first pair as well, so he immediately puts both socks to the wardrobe. Thus, at most one sock was on the table at the same time.
In the second example Andryusha behaved as follows:
- Initially the table was empty, he took out a sock from pair 2 and put it on the table. - Sock (2) was on the table. Andryusha took out a sock from pair 1 and put it on the table. - Socks (1, 2) were on the table. Andryusha took out a sock from pair 1, and put this pair into the wardrobe. - Sock (2) was on the table. Andryusha took out a sock from pair 3 and put it on the table. - Socks (2, 3) were on the table. Andryusha took out a sock from pair 2, and put this pair into the wardrobe. - Sock (3) was on the table. Andryusha took out a sock from pair 3 and put this pair into the wardrobe. | 500 | [
{
"input": "1\n1 1",
"output": "1"
},
{
"input": "3\n2 1 1 3 2 3",
"output": "2"
},
{
"input": "5\n5 1 3 2 4 3 1 2 4 5",
"output": "5"
},
{
"input": "10\n4 2 6 3 4 8 7 1 1 5 2 10 6 8 3 5 10 9 9 7",
"output": "6"
},
{
"input": "50\n30 47 31 38 37 50 36 43 9 23 2 2 ... | 1,556,315,201 | 2,147,483,647 | Python 3 | TIME_LIMIT_EXCEEDED | TESTS | 3 | 2,000 | 13,824,000 | int(input())
d = list(map(int, input().split()))
maxResult = 0
temp = []
for n in d:
if n not in temp:
temp.append(n)
if maxResult < len(temp):
maxResult = len(temp)
else:
temp.remove(n)
print(maxResult) | Title: Andryusha and Socks
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
Andryusha is an orderly boy and likes to keep things in their place.
Today he faced a problem to put his socks in the wardrobe. He has *n* distinct pairs of socks which are initially in a bag. The pairs are numbered from 1 to *n*. Andryusha wants to put paired socks together and put them in the wardrobe. He takes the socks one by one from the bag, and for each sock he looks whether the pair of this sock has been already took out of the bag, or not. If not (that means the pair of this sock is still in the bag), he puts the current socks on the table in front of him. Otherwise, he puts both socks from the pair to the wardrobe.
Andryusha remembers the order in which he took the socks from the bag. Can you tell him what is the maximum number of socks that were on the table at the same time?
Input Specification:
The first line contains the single integer *n* (1<=≤<=*n*<=≤<=105) — the number of sock pairs.
The second line contains 2*n* integers *x*1,<=*x*2,<=...,<=*x*2*n* (1<=≤<=*x**i*<=≤<=*n*), which describe the order in which Andryusha took the socks from the bag. More precisely, *x**i* means that the *i*-th sock Andryusha took out was from pair *x**i*.
It is guaranteed that Andryusha took exactly two socks of each pair.
Output Specification:
Print single integer — the maximum number of socks that were on the table at the same time.
Demo Input:
['1\n1 1\n', '3\n2 1 1 3 2 3\n']
Demo Output:
['1\n', '2\n']
Note:
In the first example Andryusha took a sock from the first pair and put it on the table. Then he took the next sock which is from the first pair as well, so he immediately puts both socks to the wardrobe. Thus, at most one sock was on the table at the same time.
In the second example Andryusha behaved as follows:
- Initially the table was empty, he took out a sock from pair 2 and put it on the table. - Sock (2) was on the table. Andryusha took out a sock from pair 1 and put it on the table. - Socks (1, 2) were on the table. Andryusha took out a sock from pair 1, and put this pair into the wardrobe. - Sock (2) was on the table. Andryusha took out a sock from pair 3 and put it on the table. - Socks (2, 3) were on the table. Andryusha took out a sock from pair 2, and put this pair into the wardrobe. - Sock (3) was on the table. Andryusha took out a sock from pair 3 and put this pair into the wardrobe. | ```python
int(input())
d = list(map(int, input().split()))
maxResult = 0
temp = []
for n in d:
if n not in temp:
temp.append(n)
if maxResult < len(temp):
maxResult = len(temp)
else:
temp.remove(n)
print(maxResult)
``` | 0 | |
550 | A | Two Substrings | PROGRAMMING | 1,500 | [
"brute force",
"dp",
"greedy",
"implementation",
"strings"
] | null | null | You are given string *s*. Your task is to determine if the given string *s* contains two non-overlapping substrings "AB" and "BA" (the substrings can go in any order). | The only line of input contains a string *s* of length between 1 and 105 consisting of uppercase Latin letters. | Print "YES" (without the quotes), if string *s* contains two non-overlapping substrings "AB" and "BA", and "NO" otherwise. | [
"ABA\n",
"BACFAB\n",
"AXBYBXA\n"
] | [
"NO\n",
"YES\n",
"NO\n"
] | In the first sample test, despite the fact that there are substrings "AB" and "BA", their occurrences overlap, so the answer is "NO".
In the second sample test there are the following occurrences of the substrings: BACFAB.
In the third sample test there is no substring "AB" nor substring "BA". | 1,000 | [
{
"input": "ABA",
"output": "NO"
},
{
"input": "BACFAB",
"output": "YES"
},
{
"input": "AXBYBXA",
"output": "NO"
},
{
"input": "ABABAB",
"output": "YES"
},
{
"input": "BBBBBBBBBB",
"output": "NO"
},
{
"input": "ABBA",
"output": "YES"
},
{
"... | 1,687,368,261 | 2,147,483,647 | Python 3 | WRONG_ANSWER | TESTS | 3 | 46 | 0 | s = input()
a1, a2 = 0, 0
a3, a4 = 0, 0
if 'AB' in s and 'BA' in s:
for i in range(len(s)-1):
if s[i] + s[i+1] == 'AB':
a1, a2 = i, i+1
break
for i in range(len(s) - 1, 0, -1):
if s[i-1] + s[i] == 'BA':
a3, a4 == i-1, i
break
if a1 != a4 and a2 != a3:
print('YES')
else:
print('NO')
else:
print('NO') | Title: Two Substrings
Time Limit: None seconds
Memory Limit: None megabytes
Problem Description:
You are given string *s*. Your task is to determine if the given string *s* contains two non-overlapping substrings "AB" and "BA" (the substrings can go in any order).
Input Specification:
The only line of input contains a string *s* of length between 1 and 105 consisting of uppercase Latin letters.
Output Specification:
Print "YES" (without the quotes), if string *s* contains two non-overlapping substrings "AB" and "BA", and "NO" otherwise.
Demo Input:
['ABA\n', 'BACFAB\n', 'AXBYBXA\n']
Demo Output:
['NO\n', 'YES\n', 'NO\n']
Note:
In the first sample test, despite the fact that there are substrings "AB" and "BA", their occurrences overlap, so the answer is "NO".
In the second sample test there are the following occurrences of the substrings: BACFAB.
In the third sample test there is no substring "AB" nor substring "BA". | ```python
s = input()
a1, a2 = 0, 0
a3, a4 = 0, 0
if 'AB' in s and 'BA' in s:
for i in range(len(s)-1):
if s[i] + s[i+1] == 'AB':
a1, a2 = i, i+1
break
for i in range(len(s) - 1, 0, -1):
if s[i-1] + s[i] == 'BA':
a3, a4 == i-1, i
break
if a1 != a4 and a2 != a3:
print('YES')
else:
print('NO')
else:
print('NO')
``` | 0 |
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