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Submission #525524

# Submission time Handle Problem Language Result Execution time Memory
525524 2022-02-11T21:07:15 Z sidon K-th path (IZhO11_kthpath) C++17
100 / 100
 1 ms 332 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long

const int Z = 35;

int n, m, k, dp[Z][Z];
string a[Z];

int32_t main() {
	ios::sync_with_stdio(0), cin.tie(0);

	for(int i = 1; i < Z; ++i)
		for(int j = 1; j < Z; ++j)
			dp[i][j] = dp[i-1][j] + dp[i][j-1], dp[1][1] = 1;

	cin >> n >> m;
	for(int i = 0; i < n; ++i)
		cin >> a[i];
	cin >> k;

	string ans(n+m-1, a[0][0]);
	map<array<int, 2>, int> cur, nxt;
	cur[{0, 0}] = 1;

	for(int i = 0; i < n+m-1; ++i) {
		map<char, int> sum;

		for(auto &[j, cnt] : cur) {
			auto [x, y] = j;
			sum[a[x][y]] += dp[n-x][m-y] * cnt;
		}

		for(auto &[c, s] : sum) {
			ans[i] = c;
			if(s < k) k -= s;
			else break;
		}

		for(auto &[j, cnt] : cur) {
			auto [x, y] = j;
			if(a[x][y] == ans[i]) {
				if(x+1 != n) nxt[{x+1, y}] += cnt;
				if(y+1 != m) nxt[{x, y+1}] += cnt;
			}
		}

		cur = nxt;
		nxt.clear();
	}

	cout << ans;
}

Subtask #1
100.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 0 ms 204 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 0 ms 320 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 320 KB Output is correct
15 Correct 0 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 1 ms 204 KB Output is correct