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Submission #464692

# Submission time Handle Problem Language Result Execution time Memory
464692 2021-08-13T17:09:39 Z Hamed5001 Strah (COCI18_strah) C++14
88 / 110
 1000 ms 98884 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

/*
	dp[i][j] = potential value in range (i, j) -> (N, M);
	dp[i][j] = dp[i+1][j] + dp[i][j+1] - dp[i+1][j+1] + (sum())
*/

const int mxN = 2e3+10;
ll N, M;
char land[mxN][mxN]; 
ll cum[mxN][mxN], nxt[mxN][mxN];


ll calc(int i, int j) {
	ll ret = 0;
	if (land[i][j] == '#')
		return ret;
	ll pos = M+1;
	for (ll ii = i; ii <= N && land[ii][j] != '#'; ii++) {
		pos = min(pos, nxt[ii][j]);
		ll len = pos - j;
		ret += (len*(len+1)/2) * (ii-i+1);
	}

	return ret;
}

void solve() {
	cin >> N >> M;
	for (int i = 1; i <= N; i++) {
		for (int j = 1; j <= M; j++) {
			cin >> land[i][j];
			cum[i][j] = ((land[i][j] == '#') + cum[i-1][j] + cum[i][j-1] - cum[i-1][j-1]);
		}
	}

	for (int i = 1; i <= N; i++) {
		int lst = M+1;
		for (int j = M; j; j--) {
			if (land[i][j] == '#')
				lst = j;
			nxt[i][j] = lst;
		}
	}



	vector<vector<ll>> dp(mxN, vector<ll>(mxN, 0));
	dp[N][M] = (land[N][M] != '#');

	for (int i = N; i; i--) {
		for (int j = M; j; j--) {
			dp[i][j] = dp[i+1][j] + dp[i][j+1] - dp[i+1][j+1] + calc(i, j);
		}
	}


	cout << dp[1][1];
}

int main() {

	ios_base::sync_with_stdio(false);
	cin.tie(0);
	solve();
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 32076 KB Output is correct
2 Correct 14 ms 32076 KB Output is correct

Subtask #2
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 32096 KB Output is correct
2 Correct 15 ms 32120 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 36368 KB Output is correct
2 Correct 23 ms 36460 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 36428 KB Output is correct
2 Correct 23 ms 36456 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 36444 KB Output is correct
2 Correct 24 ms 36396 KB Output is correct

Subtask #6
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 56644 KB Output is correct
2 Correct 286 ms 82628 KB Output is correct

Subtask #7
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 140 ms 76384 KB Output is correct
2 Correct 433 ms 96792 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 660 ms 60516 KB Output is correct
2 Correct 311 ms 85832 KB Output is correct

Subtask #9
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 54340 KB Output is correct
2 Execution timed out 1087 ms 94800 KB Time limit exceeded

Subtask #10
0 / 11.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1091 ms 98884 KB Time limit exceeded
2 Halted 0 ms 0 KB -