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Submission #1031407

# Submission time Handle Problem Language Result Execution time Memory
1031407 2024-07-22T19:57:10 Z Tob Boat (APIO16_boat) C++14
100 / 100
 1002 ms 7508 KB 
#include <bits/stdc++.h>

#define F first
#define S second
#define all(x) x.begin(), x.end()
#define pb push_back
#define FIO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

using namespace std;

typedef long long ll;
typedef pair <ll, ll> pii;

const int N = 507, mod = 1e9 + 7;

int add(int x, int y) {return (x+y < mod) ? x+y : x+y-mod;}
int mul(int x, int y) {return (ll)x*y%mod;}

int n;
int aa[N], bb[N], a[N], b[N], dp[N][2*N], ch[N][2*N], c[N][2*N], inv[N], cho[N][N];

int Pow(int x, int y) {
	int res = 1, pot = x;
	while (y) {
		if (y % 2) res = mul(res, pot);
		pot = mul(pot, pot);
		y /= 2;
	}
	return res;
}

int main () {
	FIO;
	inv[0] = 1;
	for (int i = 1; i < N; i++) inv[i] = Pow(i, mod-2);
	for (int i = 0; i < N; i++) {
		cho[i][0] = 1;
		for (int j = 1; j <= i; j++) cho[i][j] = add(cho[i-1][j], cho[i-1][j-1]);
	}
	cin >> n;
	vector <int> v;
	map <int, int> saz;
	for (int i = 0; i < n; i++) {
		cin >> aa[i] >> bb[i]; bb[i]++;
		v.pb(aa[i]);
		v.pb(bb[i]);
	}
	sort(all(v)); v.erase(unique(all(v)), v.end());
	int siz = v.size()-1;
	for (int i = 0; i <= siz; i++) saz[v[i]] = i;
	for (int i = 0; i < n; i++) {
		a[i] = saz[aa[i]];
		b[i] = saz[bb[i]];
	}
	for (int i = 0; i < siz; i++) {
		int x = v[i+1]-v[i];
		for (int j = 1; j <= min(n,x); j++) {
			int pro = 1;
			for (int k = x, l = 1; k > x-j; k--, l++) pro = mul(pro, mul(k, inv[l]));
			ch[j][i] = pro;
		}
		for (int j = 1; j <= n; j++) {
			for (int k = 1; k <= min(j,x); k++) {
				c[j][i] = add(c[j][i], mul(ch[k][i], cho[j-1][k-1]));
			}
		}
	}
	for (int j = 0; j < siz; j++) {
		for (int i = 0; i < n; i++) {
			if (j) dp[i][j] = dp[i][j-1];
			if (j < a[i] || j >= b[i]) continue;
			int cnt = 1;
			for (int k = i-1; k >= 0; k--) {
				dp[i][j] = add(dp[i][j], mul(c[cnt][j], dp[k][j-1]));
				cnt += (j >= a[k] && j < b[k]);
			}
			dp[i][j] = add(dp[i][j], c[cnt][j]);
		}
	}
	
	int res = 0;
	for (int i = 0; i < n; i++) res = add(res, dp[i][siz-1]);
	
	cout << res;

	return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 423 ms 7288 KB Output is correct
2 Correct 404 ms 7288 KB Output is correct
3 Correct 439 ms 7284 KB Output is correct
4 Correct 445 ms 7304 KB Output is correct
5 Correct 410 ms 7300 KB Output is correct
6 Correct 430 ms 7508 KB Output is correct
7 Correct 443 ms 7288 KB Output is correct
8 Correct 428 ms 7288 KB Output is correct
9 Correct 443 ms 7248 KB Output is correct
10 Correct 420 ms 7252 KB Output is correct
11 Correct 409 ms 7252 KB Output is correct
12 Correct 408 ms 7264 KB Output is correct
13 Correct 427 ms 7288 KB Output is correct
14 Correct 426 ms 7288 KB Output is correct
15 Correct 422 ms 7248 KB Output is correct
16 Correct 76 ms 7248 KB Output is correct
17 Correct 88 ms 7248 KB Output is correct
18 Correct 79 ms 7248 KB Output is correct
19 Correct 80 ms 7252 KB Output is correct
20 Correct 89 ms 7248 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 423 ms 7288 KB Output is correct
2 Correct 404 ms 7288 KB Output is correct
3 Correct 439 ms 7284 KB Output is correct
4 Correct 445 ms 7304 KB Output is correct
5 Correct 410 ms 7300 KB Output is correct
6 Correct 430 ms 7508 KB Output is correct
7 Correct 443 ms 7288 KB Output is correct
8 Correct 428 ms 7288 KB Output is correct
9 Correct 443 ms 7248 KB Output is correct
10 Correct 420 ms 7252 KB Output is correct
11 Correct 409 ms 7252 KB Output is correct
12 Correct 408 ms 7264 KB Output is correct
13 Correct 427 ms 7288 KB Output is correct
14 Correct 426 ms 7288 KB Output is correct
15 Correct 422 ms 7248 KB Output is correct
16 Correct 76 ms 7248 KB Output is correct
17 Correct 88 ms 7248 KB Output is correct
18 Correct 79 ms 7248 KB Output is correct
19 Correct 80 ms 7252 KB Output is correct
20 Correct 89 ms 7248 KB Output is correct
21 Correct 117 ms 7260 KB Output is correct
22 Correct 115 ms 7256 KB Output is correct
23 Correct 107 ms 7472 KB Output is correct
24 Correct 114 ms 7464 KB Output is correct
25 Correct 110 ms 7260 KB Output is correct
26 Correct 157 ms 7464 KB Output is correct
27 Correct 171 ms 7260 KB Output is correct
28 Correct 168 ms 7260 KB Output is correct
29 Correct 160 ms 7256 KB Output is correct
30 Correct 384 ms 7284 KB Output is correct
31 Correct 380 ms 7252 KB Output is correct
32 Correct 363 ms 7252 KB Output is correct
33 Correct 374 ms 7248 KB Output is correct
34 Correct 377 ms 7300 KB Output is correct
35 Correct 363 ms 7248 KB Output is correct
36 Correct 381 ms 7396 KB Output is correct
37 Correct 359 ms 7284 KB Output is correct
38 Correct 348 ms 7292 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 2652 KB Output is correct
2 Correct 9 ms 2544 KB Output is correct
3 Correct 8 ms 2648 KB Output is correct
4 Correct 8 ms 2652 KB Output is correct
5 Correct 9 ms 2548 KB Output is correct
6 Correct 10 ms 2704 KB Output is correct
7 Correct 10 ms 2652 KB Output is correct
8 Correct 9 ms 2652 KB Output is correct
9 Correct 8 ms 2652 KB Output is correct
10 Correct 9 ms 2556 KB Output is correct
11 Correct 8 ms 2552 KB Output is correct
12 Correct 9 ms 2544 KB Output is correct
13 Correct 9 ms 2648 KB Output is correct
14 Correct 8 ms 2652 KB Output is correct
15 Correct 9 ms 2652 KB Output is correct
16 Correct 5 ms 2648 KB Output is correct
17 Correct 5 ms 2652 KB Output is correct
18 Correct 5 ms 2652 KB Output is correct
19 Correct 5 ms 2536 KB Output is correct
20 Correct 5 ms 2652 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 423 ms 7288 KB Output is correct
2 Correct 404 ms 7288 KB Output is correct
3 Correct 439 ms 7284 KB Output is correct
4 Correct 445 ms 7304 KB Output is correct
5 Correct 410 ms 7300 KB Output is correct
6 Correct 430 ms 7508 KB Output is correct
7 Correct 443 ms 7288 KB Output is correct
8 Correct 428 ms 7288 KB Output is correct
9 Correct 443 ms 7248 KB Output is correct
10 Correct 420 ms 7252 KB Output is correct
11 Correct 409 ms 7252 KB Output is correct
12 Correct 408 ms 7264 KB Output is correct
13 Correct 427 ms 7288 KB Output is correct
14 Correct 426 ms 7288 KB Output is correct
15 Correct 422 ms 7248 KB Output is correct
16 Correct 76 ms 7248 KB Output is correct
17 Correct 88 ms 7248 KB Output is correct
18 Correct 79 ms 7248 KB Output is correct
19 Correct 80 ms 7252 KB Output is correct
20 Correct 89 ms 7248 KB Output is correct
21 Correct 117 ms 7260 KB Output is correct
22 Correct 115 ms 7256 KB Output is correct
23 Correct 107 ms 7472 KB Output is correct
24 Correct 114 ms 7464 KB Output is correct
25 Correct 110 ms 7260 KB Output is correct
26 Correct 157 ms 7464 KB Output is correct
27 Correct 171 ms 7260 KB Output is correct
28 Correct 168 ms 7260 KB Output is correct
29 Correct 160 ms 7256 KB Output is correct
30 Correct 384 ms 7284 KB Output is correct
31 Correct 380 ms 7252 KB Output is correct
32 Correct 363 ms 7252 KB Output is correct
33 Correct 374 ms 7248 KB Output is correct
34 Correct 377 ms 7300 KB Output is correct
35 Correct 363 ms 7248 KB Output is correct
36 Correct 381 ms 7396 KB Output is correct
37 Correct 359 ms 7284 KB Output is correct
38 Correct 348 ms 7292 KB Output is correct
39 Correct 9 ms 2652 KB Output is correct
40 Correct 9 ms 2544 KB Output is correct
41 Correct 8 ms 2648 KB Output is correct
42 Correct 8 ms 2652 KB Output is correct
43 Correct 9 ms 2548 KB Output is correct
44 Correct 10 ms 2704 KB Output is correct
45 Correct 10 ms 2652 KB Output is correct
46 Correct 9 ms 2652 KB Output is correct
47 Correct 8 ms 2652 KB Output is correct
48 Correct 9 ms 2556 KB Output is correct
49 Correct 8 ms 2552 KB Output is correct
50 Correct 9 ms 2544 KB Output is correct
51 Correct 9 ms 2648 KB Output is correct
52 Correct 8 ms 2652 KB Output is correct
53 Correct 9 ms 2652 KB Output is correct
54 Correct 5 ms 2648 KB Output is correct
55 Correct 5 ms 2652 KB Output is correct
56 Correct 5 ms 2652 KB Output is correct
57 Correct 5 ms 2536 KB Output is correct
58 Correct 5 ms 2652 KB Output is correct
59 Correct 857 ms 7284 KB Output is correct
60 Correct 901 ms 7504 KB Output is correct
61 Correct 849 ms 7504 KB Output is correct
62 Correct 939 ms 7508 KB Output is correct
63 Correct 906 ms 7292 KB Output is correct
64 Correct 1002 ms 7248 KB Output is correct
65 Correct 984 ms 7288 KB Output is correct
66 Correct 997 ms 7504 KB Output is correct
67 Correct 995 ms 7288 KB Output is correct
68 Correct 965 ms 7504 KB Output is correct
69 Correct 931 ms 7504 KB Output is correct
70 Correct 923 ms 7284 KB Output is correct
71 Correct 909 ms 7288 KB Output is correct
72 Correct 970 ms 7292 KB Output is correct
73 Correct 990 ms 7484 KB Output is correct
74 Correct 115 ms 7248 KB Output is correct
75 Correct 119 ms 7252 KB Output is correct
76 Correct 112 ms 7268 KB Output is correct
77 Correct 116 ms 7252 KB Output is correct
78 Correct 108 ms 7252 KB Output is correct