Submission #410526

#	Time	Username	Problem	Language	Result	Execution time	Memory
410526		nichke	Binary Subsequences (info1cup17_binary)	C++14	43 / 100	1103 ms	88264 KiB

binary

#include <bits/stdc++.h>
using namespace std;
#define int long long
#define endl '\n'

const int MOD = 1e9 + 7;

int dp[2005][2005];
int mn[2005][2005];
int mmn[2005];
int ans[2005];
int tp[2005];

int add(int a, int b) {
	a += b;
	if (a > MOD) a -= MOD;
	return a;
}

signed main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	memset(mmn, 0x3f, sizeof mmn);
	memset(mn, 0x3f, sizeof mn);
	dp[0][0] = 1;
	mn[0][0] = 0;
	for (int i = 0; i <= 2000; i++) {
		for (int j = 0; i + j <= 2000; j++) {
			if (i + j + 1 <= 2000) {
				dp[i + j + 1][j] = add(dp[i + j + 1][j], dp[i][j]);
				if (mn[i + j + 1][j] > mn[i][j] + 1) {
					mn[i + j + 1][j] = mn[i][j] + 1;
				}
			}
			if (i + j + 1 <= 2000) {
				dp[i][i + j + 1] = add(dp[i][i + j + 1], dp[i][j]);
				if (mn[i][i + j + 1] > mn[i][j] + 1) {
					mn[i][i + j + 1] = mn[i][j] + 1;
				}
			}
			ans[i + j] = add(ans[i + j], dp[i][j]);
			if (mn[i][j] < mmn[i + j]) {
				tp[i + j] = i;
				mmn[i + j] = mn[i][j];
			}
		}
	}
	int n; cin >> n;
	for (int i = 0; i < n; i++) {
		int k; cin >> k;
		cout << ans[k] << '\n';
		int x = tp[k], y = k - x;
		while (x || y) {
			if (x > y) {
				cout << 0 << ' ';
				x -= y + 1;
			} else {
				cout << 1 << ' ';
				y -= x + 1;
			}
		}
		cout << '\n';
	}
	return 0;
}

• Subtask 1: 43 / 43
• Subtask 2: 0 / 39
• Subtask 3: 0 / 18