| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 376083 |
2021-03-10T20:32:49 Z |
shivensinha4 |
Boat (APIO16_boat) |
C++17 |
|
2000 ms |
16236 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));
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) * modInverse(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]) % mod;
}
}
c = 1-c;
}
cout << (dp[1-c][0][0][0]-1+mod) % mod << endl;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1489 ms |
16128 KB |
Output is correct |
| 2 |
Correct |
1471 ms |
16128 KB |
Output is correct |
| 3 |
Correct |
1493 ms |
16128 KB |
Output is correct |
| 4 |
Correct |
1481 ms |
16128 KB |
Output is correct |
| 5 |
Correct |
1529 ms |
16128 KB |
Output is correct |
| 6 |
Correct |
1497 ms |
16108 KB |
Output is correct |
| 7 |
Correct |
1463 ms |
16236 KB |
Output is correct |
| 8 |
Correct |
1438 ms |
16236 KB |
Output is correct |
| 9 |
Correct |
1481 ms |
16236 KB |
Output is correct |
| 10 |
Correct |
1474 ms |
16236 KB |
Output is correct |
| 11 |
Correct |
1462 ms |
16128 KB |
Output is correct |
| 12 |
Correct |
1404 ms |
16128 KB |
Output is correct |
| 13 |
Correct |
1415 ms |
16128 KB |
Output is correct |
| 14 |
Correct |
1475 ms |
16236 KB |
Output is correct |
| 15 |
Correct |
1397 ms |
16108 KB |
Output is correct |
| 16 |
Correct |
269 ms |
16108 KB |
Output is correct |
| 17 |
Correct |
294 ms |
16108 KB |
Output is correct |
| 18 |
Correct |
263 ms |
16108 KB |
Output is correct |
| 19 |
Correct |
275 ms |
16108 KB |
Output is correct |
| 20 |
Correct |
281 ms |
16236 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1489 ms |
16128 KB |
Output is correct |
| 2 |
Correct |
1471 ms |
16128 KB |
Output is correct |
| 3 |
Correct |
1493 ms |
16128 KB |
Output is correct |
| 4 |
Correct |
1481 ms |
16128 KB |
Output is correct |
| 5 |
Correct |
1529 ms |
16128 KB |
Output is correct |
| 6 |
Correct |
1497 ms |
16108 KB |
Output is correct |
| 7 |
Correct |
1463 ms |
16236 KB |
Output is correct |
| 8 |
Correct |
1438 ms |
16236 KB |
Output is correct |
| 9 |
Correct |
1481 ms |
16236 KB |
Output is correct |
| 10 |
Correct |
1474 ms |
16236 KB |
Output is correct |
| 11 |
Correct |
1462 ms |
16128 KB |
Output is correct |
| 12 |
Correct |
1404 ms |
16128 KB |
Output is correct |
| 13 |
Correct |
1415 ms |
16128 KB |
Output is correct |
| 14 |
Correct |
1475 ms |
16236 KB |
Output is correct |
| 15 |
Correct |
1397 ms |
16108 KB |
Output is correct |
| 16 |
Correct |
269 ms |
16108 KB |
Output is correct |
| 17 |
Correct |
294 ms |
16108 KB |
Output is correct |
| 18 |
Correct |
263 ms |
16108 KB |
Output is correct |
| 19 |
Correct |
275 ms |
16108 KB |
Output is correct |
| 20 |
Correct |
281 ms |
16236 KB |
Output is correct |
| 21 |
Correct |
752 ms |
16236 KB |
Output is correct |
| 22 |
Correct |
771 ms |
16236 KB |
Output is correct |
| 23 |
Correct |
736 ms |
16236 KB |
Output is correct |
| 24 |
Correct |
763 ms |
16108 KB |
Output is correct |
| 25 |
Correct |
616 ms |
16236 KB |
Output is correct |
| 26 |
Correct |
576 ms |
16152 KB |
Output is correct |
| 27 |
Correct |
663 ms |
16200 KB |
Output is correct |
| 28 |
Correct |
635 ms |
16236 KB |
Output is correct |
| 29 |
Correct |
615 ms |
16236 KB |
Output is correct |
| 30 |
Correct |
1749 ms |
16156 KB |
Output is correct |
| 31 |
Correct |
1749 ms |
16236 KB |
Output is correct |
| 32 |
Correct |
1628 ms |
16156 KB |
Output is correct |
| 33 |
Correct |
1699 ms |
16236 KB |
Output is correct |
| 34 |
Correct |
1718 ms |
16156 KB |
Output is correct |
| 35 |
Correct |
1371 ms |
16236 KB |
Output is correct |
| 36 |
Correct |
1361 ms |
16140 KB |
Output is correct |
| 37 |
Correct |
1397 ms |
16236 KB |
Output is correct |
| 38 |
Correct |
1392 ms |
16236 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
207 ms |
16236 KB |
Output is correct |
| 2 |
Correct |
185 ms |
16108 KB |
Output is correct |
| 3 |
Correct |
198 ms |
16108 KB |
Output is correct |
| 4 |
Correct |
190 ms |
16012 KB |
Output is correct |
| 5 |
Correct |
180 ms |
16184 KB |
Output is correct |
| 6 |
Correct |
200 ms |
16108 KB |
Output is correct |
| 7 |
Correct |
191 ms |
16108 KB |
Output is correct |
| 8 |
Correct |
197 ms |
16108 KB |
Output is correct |
| 9 |
Correct |
192 ms |
16108 KB |
Output is correct |
| 10 |
Correct |
189 ms |
16108 KB |
Output is correct |
| 11 |
Correct |
169 ms |
16108 KB |
Output is correct |
| 12 |
Correct |
205 ms |
16108 KB |
Output is correct |
| 13 |
Correct |
194 ms |
16108 KB |
Output is correct |
| 14 |
Correct |
177 ms |
16108 KB |
Output is correct |
| 15 |
Correct |
174 ms |
16108 KB |
Output is correct |
| 16 |
Correct |
81 ms |
15980 KB |
Output is correct |
| 17 |
Correct |
83 ms |
16108 KB |
Output is correct |
| 18 |
Correct |
96 ms |
15980 KB |
Output is correct |
| 19 |
Correct |
78 ms |
15980 KB |
Output is correct |
| 20 |
Correct |
85 ms |
16108 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1489 ms |
16128 KB |
Output is correct |
| 2 |
Correct |
1471 ms |
16128 KB |
Output is correct |
| 3 |
Correct |
1493 ms |
16128 KB |
Output is correct |
| 4 |
Correct |
1481 ms |
16128 KB |
Output is correct |
| 5 |
Correct |
1529 ms |
16128 KB |
Output is correct |
| 6 |
Correct |
1497 ms |
16108 KB |
Output is correct |
| 7 |
Correct |
1463 ms |
16236 KB |
Output is correct |
| 8 |
Correct |
1438 ms |
16236 KB |
Output is correct |
| 9 |
Correct |
1481 ms |
16236 KB |
Output is correct |
| 10 |
Correct |
1474 ms |
16236 KB |
Output is correct |
| 11 |
Correct |
1462 ms |
16128 KB |
Output is correct |
| 12 |
Correct |
1404 ms |
16128 KB |
Output is correct |
| 13 |
Correct |
1415 ms |
16128 KB |
Output is correct |
| 14 |
Correct |
1475 ms |
16236 KB |
Output is correct |
| 15 |
Correct |
1397 ms |
16108 KB |
Output is correct |
| 16 |
Correct |
269 ms |
16108 KB |
Output is correct |
| 17 |
Correct |
294 ms |
16108 KB |
Output is correct |
| 18 |
Correct |
263 ms |
16108 KB |
Output is correct |
| 19 |
Correct |
275 ms |
16108 KB |
Output is correct |
| 20 |
Correct |
281 ms |
16236 KB |
Output is correct |
| 21 |
Correct |
752 ms |
16236 KB |
Output is correct |
| 22 |
Correct |
771 ms |
16236 KB |
Output is correct |
| 23 |
Correct |
736 ms |
16236 KB |
Output is correct |
| 24 |
Correct |
763 ms |
16108 KB |
Output is correct |
| 25 |
Correct |
616 ms |
16236 KB |
Output is correct |
| 26 |
Correct |
576 ms |
16152 KB |
Output is correct |
| 27 |
Correct |
663 ms |
16200 KB |
Output is correct |
| 28 |
Correct |
635 ms |
16236 KB |
Output is correct |
| 29 |
Correct |
615 ms |
16236 KB |
Output is correct |
| 30 |
Correct |
1749 ms |
16156 KB |
Output is correct |
| 31 |
Correct |
1749 ms |
16236 KB |
Output is correct |
| 32 |
Correct |
1628 ms |
16156 KB |
Output is correct |
| 33 |
Correct |
1699 ms |
16236 KB |
Output is correct |
| 34 |
Correct |
1718 ms |
16156 KB |
Output is correct |
| 35 |
Correct |
1371 ms |
16236 KB |
Output is correct |
| 36 |
Correct |
1361 ms |
16140 KB |
Output is correct |
| 37 |
Correct |
1397 ms |
16236 KB |
Output is correct |
| 38 |
Correct |
1392 ms |
16236 KB |
Output is correct |
| 39 |
Correct |
207 ms |
16236 KB |
Output is correct |
| 40 |
Correct |
185 ms |
16108 KB |
Output is correct |
| 41 |
Correct |
198 ms |
16108 KB |
Output is correct |
| 42 |
Correct |
190 ms |
16012 KB |
Output is correct |
| 43 |
Correct |
180 ms |
16184 KB |
Output is correct |
| 44 |
Correct |
200 ms |
16108 KB |
Output is correct |
| 45 |
Correct |
191 ms |
16108 KB |
Output is correct |
| 46 |
Correct |
197 ms |
16108 KB |
Output is correct |
| 47 |
Correct |
192 ms |
16108 KB |
Output is correct |
| 48 |
Correct |
189 ms |
16108 KB |
Output is correct |
| 49 |
Correct |
169 ms |
16108 KB |
Output is correct |
| 50 |
Correct |
205 ms |
16108 KB |
Output is correct |
| 51 |
Correct |
194 ms |
16108 KB |
Output is correct |
| 52 |
Correct |
177 ms |
16108 KB |
Output is correct |
| 53 |
Correct |
174 ms |
16108 KB |
Output is correct |
| 54 |
Correct |
81 ms |
15980 KB |
Output is correct |
| 55 |
Correct |
83 ms |
16108 KB |
Output is correct |
| 56 |
Correct |
96 ms |
15980 KB |
Output is correct |
| 57 |
Correct |
78 ms |
15980 KB |
Output is correct |
| 58 |
Correct |
85 ms |
16108 KB |
Output is correct |
| 59 |
Execution timed out |
2099 ms |
16108 KB |
Time limit exceeded |
| 60 |
Halted |
0 ms |
0 KB |
- |
