oj.uz

Submission #107713

# Submission time Handle Problem Language Result Execution time Memory
107713 2019-04-25T14:15:39 Z Minnakhmetov Boat (APIO16_boat) C++14
100 / 100
 1226 ms 5656 KB 
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>
#include <cstring>
#include <unordered_map>
#include <unordered_set>

using namespace std;

#define ll long long
#define ull unsigned long long
#define all(aaa) aaa.begin(), aaa.end()
#pragma warning(disable : 4996)

const int N = 505, MOD = 1e9 + 7;
int a[N], b[N], dp[N][N * 2], dp2[N * 2][N], c[N][N], c2[N];
int n;

ll bp(ll a, ll p) {
	ll r = 1;
	while (p > 0) {
		if (p & 1)
			r = r * a % MOD;
		p >>= 1;
		a = a * a % MOD;
	}
	return r;
}

void f(int& a, int b) {
	a += b;
	if (a >= MOD)
		a -= MOD;
}
//
//
//const int M1 = 1e3 + 5, N1 = 10;
//int dpb[N1][M1];
//
//int slow() {
//	dpb[0][0] = 1;
//	int q = 0;
//	for (int i = 0; i < n; i++) {
//		for (int j = 0; j < M1; j++) {
//			f(dpb[i + 1][j], dpb[i][j]);
//		}
//		for (int j = 1; j < M1; j++) {
//			f(dpb[i][j], dpb[i][j - 1]);
//		}
//		for (int j = a[i]; j <= b[i]; j++) {
//			f(dpb[i + 1][j], dpb[i][j - 1]);
//		}
//	}
//
//	for (int j = 1; j < M1; j++) {
//		f(dpb[n][j], dpb[n][j - 1]);
//	}
//
//	return dpb[n][M1 - 1] - 1;
//}

signed main() {
#ifdef HOME
	freopen("input.txt", "r", stdin);
	freopen("output.txt", "w", stdout);
#endif
	ios_base::sync_with_stdio(0);
	cin.tie(0);


	for (int i = 0; i < N; i++) {
		c[i][0] = 1;
	}

	for (int i = 1; i < N; i++) {
		for (int j = 1; j < N; j++) {
			c[i][j] = (c[i - 1][j] + c[i - 1][j - 1]) % MOD;
		}
	}


	cin >> n;
	
	vector<int> v;
	v.push_back(0);

	for (int i = 0; i < n; i++) {
		cin >> a[i] >> b[i];
		v.push_back(a[i]);
		v.push_back(b[i] + 1);
	}

	sort(all(v));
	v.erase(unique(all(v)), v.end());

	int m = v.size() - 1;


	for (int i = 1; i < m; i++) {
		ll t = 1;
		for (int j = 0; j <= n; j++) {
			c2[j] = t;
			t = t * (v[i + 1] - v[i] - j) % MOD * bp(j + 1, MOD - 2) % MOD;
		}
		for (int j = 1; j <= n; j++) {
			for (int h = 1; h <= j; h++) {
				dp2[i][j] = (dp2[i][j] + c[j - 1][h - 1] * (ll)c2[h]) % MOD;
			}
		}
	}
	
	dp[0][0] = 1;

	for (int i = 0; i < n; i++) {
		for (int j = 1; j < m; j++) {
			f(dp[i][j], dp[i][j - 1]);
			int g = 0;
			for (int k = i; k < n; k++) {
				if (a[k] <= v[j] && b[k] >= v[j + 1] - 1) {
					g++;
					dp[k + 1][j] = (dp[k + 1][j] + dp[i][j - 1] * (ll)dp2[j][g]) % MOD;
				}
			}
		}
	}

	int ans = 0;
	for (int i = 1; i < m; i++) {
		f(ans, dp[n][i]);
	}
	for (int i = 1; i < n; i++) {
		f(ans, dp[i][m - 1]);
	}
	cout << ans;


	//cout << "\n" << slow();

	return 0;
}

Compilation message

boat.cpp:42:0: warning: ignoring #pragma warning  [-Wunknown-pragmas]
 #pragma warning(disable : 4996)

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1008 ms 5324 KB Output is correct
2 Correct 1016 ms 5276 KB Output is correct
3 Correct 1038 ms 5352 KB Output is correct
4 Correct 1004 ms 5372 KB Output is correct
5 Correct 1045 ms 5380 KB Output is correct
6 Correct 848 ms 5340 KB Output is correct
7 Correct 836 ms 5328 KB Output is correct
8 Correct 803 ms 5296 KB Output is correct
9 Correct 815 ms 5404 KB Output is correct
10 Correct 805 ms 5452 KB Output is correct
11 Correct 805 ms 5260 KB Output is correct
12 Correct 890 ms 5348 KB Output is correct
13 Correct 898 ms 5368 KB Output is correct
14 Correct 827 ms 5368 KB Output is correct
15 Correct 805 ms 5368 KB Output is correct
16 Correct 184 ms 3752 KB Output is correct
17 Correct 197 ms 3832 KB Output is correct
18 Correct 206 ms 3704 KB Output is correct
19 Correct 195 ms 3780 KB Output is correct
20 Correct 193 ms 3656 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1008 ms 5324 KB Output is correct
2 Correct 1016 ms 5276 KB Output is correct
3 Correct 1038 ms 5352 KB Output is correct
4 Correct 1004 ms 5372 KB Output is correct
5 Correct 1045 ms 5380 KB Output is correct
6 Correct 848 ms 5340 KB Output is correct
7 Correct 836 ms 5328 KB Output is correct
8 Correct 803 ms 5296 KB Output is correct
9 Correct 815 ms 5404 KB Output is correct
10 Correct 805 ms 5452 KB Output is correct
11 Correct 805 ms 5260 KB Output is correct
12 Correct 890 ms 5348 KB Output is correct
13 Correct 898 ms 5368 KB Output is correct
14 Correct 827 ms 5368 KB Output is correct
15 Correct 805 ms 5368 KB Output is correct
16 Correct 184 ms 3752 KB Output is correct
17 Correct 197 ms 3832 KB Output is correct
18 Correct 206 ms 3704 KB Output is correct
19 Correct 195 ms 3780 KB Output is correct
20 Correct 193 ms 3656 KB Output is correct
21 Correct 961 ms 5156 KB Output is correct
22 Correct 1006 ms 5240 KB Output is correct
23 Correct 990 ms 5192 KB Output is correct
24 Correct 979 ms 5240 KB Output is correct
25 Correct 1066 ms 5152 KB Output is correct
26 Correct 1083 ms 5176 KB Output is correct
27 Correct 1044 ms 5160 KB Output is correct
28 Correct 1114 ms 5260 KB Output is correct
29 Correct 1048 ms 5168 KB Output is correct
30 Correct 863 ms 5340 KB Output is correct
31 Correct 833 ms 5496 KB Output is correct
32 Correct 838 ms 5348 KB Output is correct
33 Correct 889 ms 5368 KB Output is correct
34 Correct 826 ms 5256 KB Output is correct
35 Correct 986 ms 5624 KB Output is correct
36 Correct 1014 ms 5484 KB Output is correct
37 Correct 1041 ms 5364 KB Output is correct
38 Correct 1018 ms 5364 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 2204 KB Output is correct
2 Correct 15 ms 2176 KB Output is correct
3 Correct 14 ms 2176 KB Output is correct
4 Correct 16 ms 2176 KB Output is correct
5 Correct 14 ms 2176 KB Output is correct
6 Correct 18 ms 2176 KB Output is correct
7 Correct 17 ms 2176 KB Output is correct
8 Correct 17 ms 2176 KB Output is correct
9 Correct 17 ms 2176 KB Output is correct
10 Correct 17 ms 2176 KB Output is correct
11 Correct 17 ms 2176 KB Output is correct
12 Correct 16 ms 2176 KB Output is correct
13 Correct 15 ms 2152 KB Output is correct
14 Correct 15 ms 2176 KB Output is correct
15 Correct 14 ms 2176 KB Output is correct
16 Correct 11 ms 1920 KB Output is correct
17 Correct 10 ms 1920 KB Output is correct
18 Correct 10 ms 1920 KB Output is correct
19 Correct 29 ms 2048 KB Output is correct
20 Correct 11 ms 1920 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1008 ms 5324 KB Output is correct
2 Correct 1016 ms 5276 KB Output is correct
3 Correct 1038 ms 5352 KB Output is correct
4 Correct 1004 ms 5372 KB Output is correct
5 Correct 1045 ms 5380 KB Output is correct
6 Correct 848 ms 5340 KB Output is correct
7 Correct 836 ms 5328 KB Output is correct
8 Correct 803 ms 5296 KB Output is correct
9 Correct 815 ms 5404 KB Output is correct
10 Correct 805 ms 5452 KB Output is correct
11 Correct 805 ms 5260 KB Output is correct
12 Correct 890 ms 5348 KB Output is correct
13 Correct 898 ms 5368 KB Output is correct
14 Correct 827 ms 5368 KB Output is correct
15 Correct 805 ms 5368 KB Output is correct
16 Correct 184 ms 3752 KB Output is correct
17 Correct 197 ms 3832 KB Output is correct
18 Correct 206 ms 3704 KB Output is correct
19 Correct 195 ms 3780 KB Output is correct
20 Correct 193 ms 3656 KB Output is correct
21 Correct 961 ms 5156 KB Output is correct
22 Correct 1006 ms 5240 KB Output is correct
23 Correct 990 ms 5192 KB Output is correct
24 Correct 979 ms 5240 KB Output is correct
25 Correct 1066 ms 5152 KB Output is correct
26 Correct 1083 ms 5176 KB Output is correct
27 Correct 1044 ms 5160 KB Output is correct
28 Correct 1114 ms 5260 KB Output is correct
29 Correct 1048 ms 5168 KB Output is correct
30 Correct 863 ms 5340 KB Output is correct
31 Correct 833 ms 5496 KB Output is correct
32 Correct 838 ms 5348 KB Output is correct
33 Correct 889 ms 5368 KB Output is correct
34 Correct 826 ms 5256 KB Output is correct
35 Correct 986 ms 5624 KB Output is correct
36 Correct 1014 ms 5484 KB Output is correct
37 Correct 1041 ms 5364 KB Output is correct
38 Correct 1018 ms 5364 KB Output is correct
39 Correct 16 ms 2204 KB Output is correct
40 Correct 15 ms 2176 KB Output is correct
41 Correct 14 ms 2176 KB Output is correct
42 Correct 16 ms 2176 KB Output is correct
43 Correct 14 ms 2176 KB Output is correct
44 Correct 18 ms 2176 KB Output is correct
45 Correct 17 ms 2176 KB Output is correct
46 Correct 17 ms 2176 KB Output is correct
47 Correct 17 ms 2176 KB Output is correct
48 Correct 17 ms 2176 KB Output is correct
49 Correct 17 ms 2176 KB Output is correct
50 Correct 16 ms 2176 KB Output is correct
51 Correct 15 ms 2152 KB Output is correct
52 Correct 15 ms 2176 KB Output is correct
53 Correct 14 ms 2176 KB Output is correct
54 Correct 11 ms 1920 KB Output is correct
55 Correct 10 ms 1920 KB Output is correct
56 Correct 10 ms 1920 KB Output is correct
57 Correct 29 ms 2048 KB Output is correct
58 Correct 11 ms 1920 KB Output is correct
59 Correct 1100 ms 5340 KB Output is correct
60 Correct 1030 ms 5368 KB Output is correct
61 Correct 1058 ms 5356 KB Output is correct
62 Correct 1010 ms 5492 KB Output is correct
63 Correct 991 ms 5444 KB Output is correct
64 Correct 1118 ms 5468 KB Output is correct
65 Correct 1180 ms 5572 KB Output is correct
66 Correct 1081 ms 5360 KB Output is correct
67 Correct 1057 ms 5496 KB Output is correct
68 Correct 1226 ms 5404 KB Output is correct
69 Correct 996 ms 5656 KB Output is correct
70 Correct 1060 ms 5480 KB Output is correct
71 Correct 997 ms 5524 KB Output is correct
72 Correct 1000 ms 5368 KB Output is correct
73 Correct 1024 ms 5424 KB Output is correct
74 Correct 221 ms 3832 KB Output is correct
75 Correct 219 ms 3824 KB Output is correct
76 Correct 234 ms 3776 KB Output is correct
77 Correct 221 ms 3704 KB Output is correct
78 Correct 200 ms 3832 KB Output is correct