Chefland and Average Distance CodeChef SnackDown 2021 Advanced Practice Contest

Question

Chefland is a grid with $N$ rows and $M$ columns. Each cell of this grid is either empty or contains a house. The distance between a pair of houses is the Manhattan distance between the cells containing them.

For each $d$ between $1$ and $N + M - 2$ inclusive, Chef wants to calculate the number of unordered pairs of distinct houses with distance equal to $d$ . Please help him!

Input

The first line of the input contains a single integer $T$ denoting the number of test cases. The description of $T$ test cases follows.
The first line of each test case contains two space-separated integers $N$ and $M$ .
$N$ lines follow. For each $i$ ( $1 \leq i \leq N$ ), the $i$ -th of these lines contains a binary string with length $M$ ; for each $j$ ( $1 \leq j \leq M$ ), the $j$ -th character of this string is '1' if the cell in the $i$ -th row and $j$ -th column contains a house or '0' if it is empty.

Output

For each test case, print a single line containing

N + M - 2

space-separated integers. For each valid

i

, the

i

-th integer should denote the number of pairs with distance

i

Constraints

1≤T≤3

2≤N,M≤300

Example Input

Example Output

1 0 1 1 0

Program Code in C++

#include <bits/stdc++.h>

using namespace std;

typedef long long LL;

const int maxn = 305;

char s[maxn];

bool a[maxn][maxn];

short f[maxn][maxn][maxn + maxn];

LL ret[maxn + maxn];

int n, m;

template <bool sgn>

LL calc () {

for (int i = 1; i <= n; ++i) {

for (int j = 1; j <= m; ++j) {

bool _sgn = a[i][j];

for (int k = 0; k < i + j; ++k) {

f[i][j][k] = f[i - 1][j - 1][k];

if (_sgn && sgn) ret[i + j - k] += f[i][j][k];

f[i][j][k] = f[i - 1][j][k] + f[i][j - 1][k] - f[i][j][k];

if (_sgn && !sgn) ret[i + j - k] += f[i][j][k];

}

f[i][j][i + j] = a[i][j];

}

void solve () {

scanf("%d%d", &n, &m);

for (int i = 1; i <= n; ++i) {

scanf("%s", s + 1);

for (int j = 1; j <= m; ++j) a[i][j] = s[j] == '1';

}

memset(ret, 0, sizeof(ret));

calc<0>();

for (int i = 1; i <= n; ++i) reverse(a[i] + 1, a[i] + m + 1);

calc<1>();

for (int i = 1; i <= n + m - 2; ++i) printf("%d%c", ret[i], i == n + m - 2 ? '\n' : ' ');

}

int main () {

int T;

scanf("%d", &T);

while (T--) solve();

return 0;

}

Comments

Snake Procession CodeChef SnackDown 2021 Beginner Practice Contest

Snake Procession CodeChef SnackDown 2021 Beginner Practice Contest Question: The annual snake festival is upon us, and all the snakes of the kingdom have gathered to participate in the procession. Chef has been tasked with reporting on the procession, and for this he decides to first keep track of all the snakes. When he sees a snake first, it'll be its Head, and hence he will mark a 'H'. The snakes are long, and when he sees the snake finally slither away, he'll mark a 'T' to denote its tail. In the time in between, when the snake is moving past him, or the time between one snake and the next snake, he marks with '.'s. Because the snakes come in a procession, and one by one, a valid report would be something like "..H..T…HTH….T.", or "…", or "HT", whereas "T…H..H.T", "H..T..H", "H..H..T..T" would be invalid reports (See explanations at the bottom). Formally, a snake is represented by a 'H&

Qualifying to Pre-Elimination CodeChef SnackDown 2021 Beginner Practice Contest

Qualifying to Pre-Elimination CodeChef SnackDown 2021 Beginner Practice Contest Question: Snackdown 2019 is coming! There are two rounds (round A and round B) after the qualification round. From both of them, teams can qualify to the pre-elimination round. According to the rules, in each of these two rounds, teams are sorted in descending order by their score and each team with a score greater or equal to the score of the team at the K = 1500 K = 1500 -th place advances to the pre-elimination round (this means it is possible to have more than K K qualified teams from each round in the case of one or more ties after the K K -th place). Today, the organizers ask you to count the number of teams which would qualify for the pre-elimination round from round A for a given value of K K (possibly different from 1500 1500 ). They provided the scores of all teams to you; you should ensure that all teams scoring at least as many points as the K K -th team qualify. Input: The first line

Chef and Typing CodeChef SnackDown 2021 Beginner Practice Contest

Chef and Typing CodeChef SnackDown 2021 Beginner Practice Contest Question: Chef is practising his typing skills since his current typing speed is very low. He uses a training application that displays some words one by one for Chef to type. When typing a word, Chef takes 0.2 seconds to type the first character; for each other character of this word, he takes 0.2 seconds to type this character if it is written with a different hand than the previous character, or 0.4 seconds if it is written with the same hand. The time taken to type a word is the sum of times taken to type all of its characters. However, if a word has already appeared during practice, Chef can type it in half the time it took him to type this word for the first time. Currently, Chef is practising in easy mode, which only uses words that consists of characters 'd', 'f', 'j' and 'k'. The characters 'd' and 'f' are written using the left hand, while the characters 'j&#

Kitchen Timetable CodeChef SnackDown 2021 Beginner Practice Contest Solution

Kitchen Timetable CodeChef SnackDown 2021 Beginner Practice Contest Solution Question: There are N students living in the dormitory of Berland State University. Each of them sometimes wants to use the kitchen, so the head of the dormitory came up with a timetable for kitchen's usage in order to avoid the conflicts: The first student starts to use the kitchen at the time 0 and should finish the cooking not later than at the time A 1 . The second student starts to use the kitchen at the time A 1 and should finish the cooking not later than at the time A 2 . And so on. The N -th student starts to use the kitchen at the time A N-1 and should finish the cooking not later than at the time A N The holidays in Berland are approaching, so today each of these N students wants to cook some pancakes. The i -th student needs B i units of time to cook. The students have understood that probably not all of them will be able to cook everything they want. How many students will be

Chef and Operations CodeChef SnackDown 2021 Beginner Practice Contest

Chef and Operations CodeChef SnackDown 2021 Beginner Practice Contest Question: Chef has two sequences A A and B B , each with length N N . He can apply the following magic operation an arbitrary number of times (including zero): choose an index i i ( 1 ≤ i ≤ N − 2 1 ≤ i ≤ N − 2 ) and add 1 1 to A i A i , 2 2 to A i + 1 A i + 1 and 3 3 to A i + 2 A i + 2 , i.e. change A i A i to A i + 1 A i + 1 , A i + 1 A i + 1 to A i + 1 + 2 A i + 1 + 2 and A i + 2 A i + 2 to A i + 2 + 3 A i + 2 + 3 . Chef asks you to tell him if it is possible to obtain sequence B B from sequence A A this way. Help him! Input: The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows. The first line of each test case contains a single integer N . The second line contains N space-separated integers A 1 , A 2 , … , A N . The third line contains N space-separated integers B 1 , B 2 , … , B B 1 , B 2 , … , B

Round Robin Ranks CodeChef SnackDown 2021 Round 1A

Round Robin Ranks CodeChef SnackDown 2021 Round 1A Question A round-robin tournament is being held in Chefland among N teams numbered 1,2,...,N. Every team play with all other teams exactly once. All games have only two possible results - win or loss. A win yields 2 points to the winning team while a loss yields no points. What is the maximum number of points a team finishing at the Kth position can score? Note: If two teams have the same points then the team with the higher team number achieves the better rank. Input Format First line will contain T, number of testcases. Then the testcases follow. Each testcase contains a single line of input, two space-separated integers N,K. Output Format For each testcase, output in a single line an integer - the maximum points the team ranked K in the round-robin tournament can score. Constraints 1≤T≤10^5 1≤K≤N≤10^9 Sample Input 1 3 3 3 4 1 7 4 Sample Output 1 2 6 8 Explanation Test Case 1: There are 3 teams in the tournament. The maximum score

Temple Land CodeChef SnacKDown 2021 Beginner Practice Contest

Temple Land CodeChef SnacKDown 2021 Beginner Practice Contest Question: The snakes want to build a temple for Lord Cobra. There are multiple strips of land that they are looking at, but not all of them are suitable. They need the strip of land to resemble a coiled Cobra. You need to find out which strips do so. Formally, every strip of land, has a length. Suppose the length of the i-th strip is is N i , then there will be N i integers, H i1 , H i2 , .. H iN i , which represent the heights of the ground at various parts of the strip, in sequential order. That is, the strip has been divided into N i parts and the height of each part is given. This strip is valid, if and only if all these conditions are satisfied: There should be an unique 'centre' part. This is where the actual temple will be built. By centre, we mean that there should be an equal number of parts to the left of this part, and to the right of this part. H i1 = 1 The heights keep increasing by exactly 1, as

Delete Two Elements Educational Codeforces Round 115 Solution

Delete Two Elements Educational Codeforces Round 115 Solution Introduction Educational Codeforces rounds are organized by Codeforces for the Division 2 Coders. Similarly Educational Codeforces Round was held on Sunday, October 10, 2021 at 14:35 UTC+5.5 Series of Educational Rounds continue to be held as Harbour Space University initiative. This round will be rated for coders with rating upto 2100. It will be held on extended ICPC rules. The penalty for each incorrect submission until the full correct solution is 10 minutes. After the end of the contest you will have 12 hours to hack any solution. You will be given 7 problems and two hours to solve them. The contest was a success and lots of submissions were made by the hard striving coders. Problem A that is the Computer Game was very easy and had the maximum number of successful submission. Problem B was a not easy but not difficult also it was fit for an average coder to solve. Problem C although was quite confusing at the st

Unique Email Addresses LeetCode Solution

Unique Email Addresses LeetCode Solution Question Every valid email consists of a local name and a domain name , separated by the '@' sign. Besides lowercase letters, the email may contain one or more '.' or '+' . For example, in "alice@leetcode.com" , "alice" is the local name , and "leetcode.com" is the domain name . If you add periods '.' between some characters in the local name part of an email address, mail sent there will be forwarded to the same address without dots in the local name. Note that this rule does not apply to domain names . For example, "alice.z@leetcode.com" and "alicez@leetcode.com" forward to the same email address. If you add a plus '+' in the local name , everything after the first plus sign will be ignored . This allows certain emails to be filtered. Note that this rule does not apply to domain names . For example, "m.y+name@ema

Dance Moves CodeChef SnackDown 2021 Round 1A Solution

Dance Moves CodeChef SnackDown 2021 Round 1A Solution Question This year Chef is participating in a Dancing competition. The dance performance will be done on a linear stage marked with integral positions. Initially, Chef is present at position X and Chef's dance partner is at position Y. Chef can perform two kinds of dance moves. If Chef is currently at position k, Chef can: Moonwalk to position k+2, or Slide to position k−1 Chef wants to find the minimum number of moves required to reach his partner. Can you help him find this number? Input Format First line will contain a single integer T, the number of testcases. Then the description of T testcases follows. Each testcase contains a single line with two space-separated integers X,Y, representing the initial positions of Chef and his dance partner, respectively. Output Format For each testcase, print in a separate line, a single integer, the minimum number of moves required by Chef to reach his dance partner. Constraints 1≤T≤10^

Lets Learn To Succeed

Search This Blog

Equal Beauty CodeChef SnackDown 2021 Round 1A