답안 #376264

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
376264 2021-03-11T06:33:43 Z shivensinha4 Boat (APIO16_boat) C++17
58 / 100
2000 ms 16240 KB
#include "bits/stdc++.h"
using namespace std;
#define for_(i, s, e) for (int i = s; i < (int) e; i++)
#define for__(i, s, e) for (ll i = s; i < e; i++)
typedef long long ll;
typedef vector<int> vi;
typedef array<int, 2> ii;
// #define endl '\n'
 
const ll mod = 1e9+7;
 
ll power(ll x, ll y) {
	if (y == 0) return 1;
	ll p = power(x, y/2) % mod;
	p = (p * p) % mod;
  
	return (y%2 == 0)? p : (x * p) % mod;
}
 
ll modInverse(ll a) {
	return power(a, mod-2);
}
 
const int MXN = 500;
ll choose[4*MXN+2][MXN+1], dp[2][MXN+1][MXN+1][2];
 
int main() {
#ifdef mlocal
	freopen("test.in", "r", stdin);
#endif
	
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	
	int n; cin >> n;
	vector<ii> lt(n);
	vi raw(2*n);
	
	for_(i, 0, n) {
		cin >> lt[i][0] >> lt[i][1];
		raw[2*i] = lt[i][0], raw[2*i+1] = lt[i][1];
	}
	
	sort(raw.begin(), raw.end());
	raw.resize(unique(raw.begin(), raw.end()) - raw.begin());
	
	vector<ii> seg;
	int pre = -1;
	for_(i, 0, raw.size()) {
		if (pre < raw[i] and pre != -1) seg.push_back({pre, raw[i]-1});
		seg.push_back({raw[i], raw[i]});
		pre = raw[i]+1;
	}
	
	int ns = seg.size();
	memset(choose, 0, sizeof(choose)); memset(dp, 0, sizeof(dp));
	
	vector<ll> modInv(n+1);
	for_(i, 1, n+1) modInv[i] = modInverse(i);
	
	for_(i, 0, ns) {
		choose[i][0] = 1;
		for_(r, 1, min(n, seg[i][1]-seg[i][0]+1) + 1) choose[i][r] = (((choose[i][r-1] * (seg[i][1]-seg[i][0]-r+2)) % mod) * modInv[r]) % mod;
	}
	
	int c = 0;
	for (int s = ns-1; s >= 0; s--) {
		memset(dp[c], 0, sizeof(dp[c]));
		
		for (int ct = min(n-1, seg[s][1]-seg[s][0]+1); ct >= 0; ct--) {
			dp[c][ct][n][0] = choose[s][ct];
			
			for (int idx = n-1; idx >= 0; idx--) {
				if (seg[s][0] >= lt[idx][0] and seg[s][1] <= lt[idx][1]) dp[c][ct][idx][1] += dp[c][ct+1][idx+1][0];
				if (dp[c][ct][idx][1] >= mod) dp[c][ct][idx][1] -= mod;
				
				dp[c][ct][idx][1] += (choose[s][ct] * (s < ns-1 ? dp[1-c][0][idx][1] : 0)) % mod;
				if (dp[c][ct][idx][1] >= mod) dp[c][ct][idx][1] -= mod;
				
				dp[c][ct][idx][0] = dp[c][ct][idx][1] + dp[c][ct][idx+1][0];
				if (dp[c][ct][idx][0] >= mod) dp[c][ct][idx][0] -= mod;
			}
		}
		c = 1-c;
	}
	
	cout << (dp[1-c][0][0][0]-1+mod) % mod << endl;
	
}
# 결과 실행 시간 메모리 Grader output
1 Correct 1131 ms 16140 KB Output is correct
2 Correct 1161 ms 16140 KB Output is correct
3 Correct 1167 ms 16140 KB Output is correct
4 Correct 1176 ms 16140 KB Output is correct
5 Correct 1166 ms 16108 KB Output is correct
6 Correct 986 ms 16108 KB Output is correct
7 Correct 1014 ms 16152 KB Output is correct
8 Correct 1006 ms 16236 KB Output is correct
9 Correct 1006 ms 16236 KB Output is correct
10 Correct 1010 ms 16140 KB Output is correct
11 Correct 1016 ms 16236 KB Output is correct
12 Correct 993 ms 16236 KB Output is correct
13 Correct 1028 ms 16140 KB Output is correct
14 Correct 1008 ms 16236 KB Output is correct
15 Correct 1012 ms 16108 KB Output is correct
16 Correct 213 ms 16108 KB Output is correct
17 Correct 234 ms 16236 KB Output is correct
18 Correct 231 ms 16108 KB Output is correct
19 Correct 234 ms 16108 KB Output is correct
20 Correct 255 ms 16108 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1131 ms 16140 KB Output is correct
2 Correct 1161 ms 16140 KB Output is correct
3 Correct 1167 ms 16140 KB Output is correct
4 Correct 1176 ms 16140 KB Output is correct
5 Correct 1166 ms 16108 KB Output is correct
6 Correct 986 ms 16108 KB Output is correct
7 Correct 1014 ms 16152 KB Output is correct
8 Correct 1006 ms 16236 KB Output is correct
9 Correct 1006 ms 16236 KB Output is correct
10 Correct 1010 ms 16140 KB Output is correct
11 Correct 1016 ms 16236 KB Output is correct
12 Correct 993 ms 16236 KB Output is correct
13 Correct 1028 ms 16140 KB Output is correct
14 Correct 1008 ms 16236 KB Output is correct
15 Correct 1012 ms 16108 KB Output is correct
16 Correct 213 ms 16108 KB Output is correct
17 Correct 234 ms 16236 KB Output is correct
18 Correct 231 ms 16108 KB Output is correct
19 Correct 234 ms 16108 KB Output is correct
20 Correct 255 ms 16108 KB Output is correct
21 Correct 774 ms 16108 KB Output is correct
22 Correct 753 ms 16108 KB Output is correct
23 Correct 775 ms 16236 KB Output is correct
24 Correct 726 ms 16152 KB Output is correct
25 Correct 798 ms 16152 KB Output is correct
26 Correct 661 ms 16152 KB Output is correct
27 Correct 740 ms 16152 KB Output is correct
28 Correct 721 ms 16152 KB Output is correct
29 Correct 724 ms 16152 KB Output is correct
30 Correct 1387 ms 16156 KB Output is correct
31 Correct 1374 ms 16156 KB Output is correct
32 Correct 1380 ms 16156 KB Output is correct
33 Correct 1367 ms 16156 KB Output is correct
34 Correct 1439 ms 16156 KB Output is correct
35 Correct 1093 ms 16236 KB Output is correct
36 Correct 1107 ms 16140 KB Output is correct
37 Correct 1145 ms 16108 KB Output is correct
38 Correct 1143 ms 16236 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 189 ms 16112 KB Output is correct
2 Correct 178 ms 16236 KB Output is correct
3 Correct 196 ms 16236 KB Output is correct
4 Correct 197 ms 16164 KB Output is correct
5 Correct 183 ms 16236 KB Output is correct
6 Correct 184 ms 16236 KB Output is correct
7 Correct 189 ms 16236 KB Output is correct
8 Correct 173 ms 16108 KB Output is correct
9 Correct 223 ms 16236 KB Output is correct
10 Correct 188 ms 16236 KB Output is correct
11 Correct 225 ms 16108 KB Output is correct
12 Correct 222 ms 16108 KB Output is correct
13 Correct 170 ms 16108 KB Output is correct
14 Correct 212 ms 16108 KB Output is correct
15 Correct 211 ms 16236 KB Output is correct
16 Correct 75 ms 16108 KB Output is correct
17 Correct 78 ms 16240 KB Output is correct
18 Correct 87 ms 16108 KB Output is correct
19 Correct 76 ms 16108 KB Output is correct
20 Correct 83 ms 16108 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1131 ms 16140 KB Output is correct
2 Correct 1161 ms 16140 KB Output is correct
3 Correct 1167 ms 16140 KB Output is correct
4 Correct 1176 ms 16140 KB Output is correct
5 Correct 1166 ms 16108 KB Output is correct
6 Correct 986 ms 16108 KB Output is correct
7 Correct 1014 ms 16152 KB Output is correct
8 Correct 1006 ms 16236 KB Output is correct
9 Correct 1006 ms 16236 KB Output is correct
10 Correct 1010 ms 16140 KB Output is correct
11 Correct 1016 ms 16236 KB Output is correct
12 Correct 993 ms 16236 KB Output is correct
13 Correct 1028 ms 16140 KB Output is correct
14 Correct 1008 ms 16236 KB Output is correct
15 Correct 1012 ms 16108 KB Output is correct
16 Correct 213 ms 16108 KB Output is correct
17 Correct 234 ms 16236 KB Output is correct
18 Correct 231 ms 16108 KB Output is correct
19 Correct 234 ms 16108 KB Output is correct
20 Correct 255 ms 16108 KB Output is correct
21 Correct 774 ms 16108 KB Output is correct
22 Correct 753 ms 16108 KB Output is correct
23 Correct 775 ms 16236 KB Output is correct
24 Correct 726 ms 16152 KB Output is correct
25 Correct 798 ms 16152 KB Output is correct
26 Correct 661 ms 16152 KB Output is correct
27 Correct 740 ms 16152 KB Output is correct
28 Correct 721 ms 16152 KB Output is correct
29 Correct 724 ms 16152 KB Output is correct
30 Correct 1387 ms 16156 KB Output is correct
31 Correct 1374 ms 16156 KB Output is correct
32 Correct 1380 ms 16156 KB Output is correct
33 Correct 1367 ms 16156 KB Output is correct
34 Correct 1439 ms 16156 KB Output is correct
35 Correct 1093 ms 16236 KB Output is correct
36 Correct 1107 ms 16140 KB Output is correct
37 Correct 1145 ms 16108 KB Output is correct
38 Correct 1143 ms 16236 KB Output is correct
39 Correct 189 ms 16112 KB Output is correct
40 Correct 178 ms 16236 KB Output is correct
41 Correct 196 ms 16236 KB Output is correct
42 Correct 197 ms 16164 KB Output is correct
43 Correct 183 ms 16236 KB Output is correct
44 Correct 184 ms 16236 KB Output is correct
45 Correct 189 ms 16236 KB Output is correct
46 Correct 173 ms 16108 KB Output is correct
47 Correct 223 ms 16236 KB Output is correct
48 Correct 188 ms 16236 KB Output is correct
49 Correct 225 ms 16108 KB Output is correct
50 Correct 222 ms 16108 KB Output is correct
51 Correct 170 ms 16108 KB Output is correct
52 Correct 212 ms 16108 KB Output is correct
53 Correct 211 ms 16236 KB Output is correct
54 Correct 75 ms 16108 KB Output is correct
55 Correct 78 ms 16240 KB Output is correct
56 Correct 87 ms 16108 KB Output is correct
57 Correct 76 ms 16108 KB Output is correct
58 Correct 83 ms 16108 KB Output is correct
59 Execution timed out 2073 ms 16108 KB Time limit exceeded
60 Halted 0 ms 0 KB -