Submission #48533

# Submission time Handle Problem Language Result Execution time Memory
48533 2018-05-15T13:08:19 Z Kmcode Boat (APIO16_boat) C++14
9 / 100
2000 ms 18892 KB
#include "bits/stdc++.h"
using namespace std;

#define MOD 1000000007

#define MAX 1102


int n;

vector<pair<int, int> > v;
vector<int> vv;

int dp[MAX][MAX];

long long int way[MAX][MAX];

long long int c[MAX][MAX];

long long int ppow(long long int i, long long int j) {
	long long int res = 1;
	while (j) {
		if ((j & 1LL)) {
			res *= i;
			if (res >= MOD)res %= MOD;
		}
		i *= i;
		if (i >= MOD)i %= MOD;
		j >>= 1LL;
	}
	return res;
}

long long int k[MAX];

int main() {
	k[0] = 1;
	for (int i = 1; i < MAX; i++) {
		k[i] = k[i - 1];
		k[i] *= (long long int)(i);
		if (k[i] >= MOD)k[i] %= MOD;
	}
	for (int i = 0; i < MAX; i++) {
		k[i] = ppow(k[i], MOD - 2);
	}
	c[0][0] = 1;
	for (int i = 0; i + 1 < MAX; i++) {
		for (int j = 0; j <= i; j++) {
			c[i + 1][j] += c[i][j];
			c[i + 1][j + 1] += c[i][j];
			if (c[i + 1][j] >= MOD)c[i + 1][j] -= MOD;
			if (c[i + 1][j + 1] >= MOD)c[i + 1][j + 1] -= MOD;
		}
	}
	cin >> n;
	vv.push_back(0);
	for (int i = 0; i < n; i++) {
		int a, b;
		scanf("%d%d", &a, &b);
		vv.push_back(a), vv.push_back(b+1);
		v.push_back(make_pair(a, b));
	}
	sort(vv.begin(), vv.end());
	vv.erase(unique(vv.begin(), vv.end()), vv.end());
	vv.push_back(vv.back() + 1);
	dp[0][0] = 1;
	for (int i = 0; i + 1 < vv.size(); i++) {
		long long int rng = vv[i + 1] - vv[i];
		long long int up = 1;
		long long int dw = 0;
		for (int j = 1; j <= 500; j++) {
			if (rng < j)break;
			up *= (long long int)(rng - j + 1LL);
			if (up >= MOD)up %= MOD;
			dw = k[j];
			dw *= up;
			if (dw >= MOD)dw %= MOD;
			way[i][j] = dw;
		}
		for (int j = 500; j >= 1; j--) {
			long long int tmp = 0;
			for (int k = j; k >= 1; k--) {
				tmp += way[i][k] * c[j - 1][k - 1];
				if (tmp >= MOD)tmp %= MOD;
			}
			way[i][j] = tmp;
			if (tmp < 0LL)while (1);
		}
	}
	long long int AA = 0;
	for (int i = 0; i < v.size(); i++) {
		long long int su = 0;
		for (int j = 0; j + 1 < vv.size(); j++) {
			int valid = 0;
			for (int k = i; k < v.size(); k++) {
				if (v[k].first <= vv[j] && vv[j + 1] - 1 <= v[k].second) {
					valid++;
					if (su < 0LL)while(1);
					dp[k + 1][j] += su*way[j][valid];
					AA += su*way[j][valid];
					if (AA >= MOD)AA %= MOD;
					if (dp[k + 1][j] >= MOD)dp[k + 1][j] %= MOD;
				}
			}
			su += dp[i][j];
			if (su >= MOD)su %= MOD;
		}
	}
	if (AA < 0LL)exit(1);
	printf("%lld\n", AA);
	return 0;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:67:24: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i + 1 < vv.size(); i++) {
                  ~~~~~~^~~~~~~~~~~
boat.cpp:91:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < v.size(); i++) {
                  ~~^~~~~~~~~~
boat.cpp:93:25: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 0; j + 1 < vv.size(); j++) {
                   ~~~~~~^~~~~~~~~~~
boat.cpp:95:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for (int k = i; k < v.size(); k++) {
                    ~~^~~~~~~~~~
boat.cpp:59:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf("%d%d", &a, &b);
   ~~~~~^~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 719 ms 18168 KB Output is correct
2 Correct 714 ms 18328 KB Output is correct
3 Correct 703 ms 18348 KB Output is correct
4 Correct 707 ms 18416 KB Output is correct
5 Correct 707 ms 18428 KB Output is correct
6 Correct 606 ms 18860 KB Output is correct
7 Correct 611 ms 18860 KB Output is correct
8 Correct 629 ms 18860 KB Output is correct
9 Correct 616 ms 18860 KB Output is correct
10 Correct 608 ms 18860 KB Output is correct
11 Correct 628 ms 18860 KB Output is correct
12 Correct 617 ms 18860 KB Output is correct
13 Correct 610 ms 18860 KB Output is correct
14 Correct 667 ms 18892 KB Output is correct
15 Correct 607 ms 18892 KB Output is correct
16 Correct 156 ms 18892 KB Output is correct
17 Correct 165 ms 18892 KB Output is correct
18 Correct 163 ms 18892 KB Output is correct
19 Correct 168 ms 18892 KB Output is correct
20 Correct 162 ms 18892 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 719 ms 18168 KB Output is correct
2 Correct 714 ms 18328 KB Output is correct
3 Correct 703 ms 18348 KB Output is correct
4 Correct 707 ms 18416 KB Output is correct
5 Correct 707 ms 18428 KB Output is correct
6 Correct 606 ms 18860 KB Output is correct
7 Correct 611 ms 18860 KB Output is correct
8 Correct 629 ms 18860 KB Output is correct
9 Correct 616 ms 18860 KB Output is correct
10 Correct 608 ms 18860 KB Output is correct
11 Correct 628 ms 18860 KB Output is correct
12 Correct 617 ms 18860 KB Output is correct
13 Correct 610 ms 18860 KB Output is correct
14 Correct 667 ms 18892 KB Output is correct
15 Correct 607 ms 18892 KB Output is correct
16 Correct 156 ms 18892 KB Output is correct
17 Correct 165 ms 18892 KB Output is correct
18 Correct 163 ms 18892 KB Output is correct
19 Correct 168 ms 18892 KB Output is correct
20 Correct 162 ms 18892 KB Output is correct
21 Execution timed out 2076 ms 18892 KB Time limit exceeded
22 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Execution timed out 2081 ms 18892 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 719 ms 18168 KB Output is correct
2 Correct 714 ms 18328 KB Output is correct
3 Correct 703 ms 18348 KB Output is correct
4 Correct 707 ms 18416 KB Output is correct
5 Correct 707 ms 18428 KB Output is correct
6 Correct 606 ms 18860 KB Output is correct
7 Correct 611 ms 18860 KB Output is correct
8 Correct 629 ms 18860 KB Output is correct
9 Correct 616 ms 18860 KB Output is correct
10 Correct 608 ms 18860 KB Output is correct
11 Correct 628 ms 18860 KB Output is correct
12 Correct 617 ms 18860 KB Output is correct
13 Correct 610 ms 18860 KB Output is correct
14 Correct 667 ms 18892 KB Output is correct
15 Correct 607 ms 18892 KB Output is correct
16 Correct 156 ms 18892 KB Output is correct
17 Correct 165 ms 18892 KB Output is correct
18 Correct 163 ms 18892 KB Output is correct
19 Correct 168 ms 18892 KB Output is correct
20 Correct 162 ms 18892 KB Output is correct
21 Execution timed out 2076 ms 18892 KB Time limit exceeded
22 Halted 0 ms 0 KB -