| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 447803 |
2021-07-27T14:48:57 Z |
dutch |
Boat (APIO16_boat) |
C++17 |
|
1503 ms |
4424 KB |
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define valid(x, y) (a[x] <= pts[y] && pts[y+1] <= b[x]+1)
const int MOD = 1e9+7, LIM = 501;
int modInverse(int x){
int r = 1, p = (MOD - 2) * 2;
for(int y=x; p/=2; y=(y*y) % MOD)
if(p & 1) r = (r*y) % MOD;
return r;
}
int n, a[LIM], b[LIM], dp[LIM][LIM*2], F[LIM], invF[LIM], C[LIM];
vector<int> pts;
int nCr(int x, int y){
return (((F[x] * invF[y]) % MOD) * invF[x-y]) % MOD;
}
signed main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n;
for(int i=0; i<n; ++i){
cin >> a[i] >> b[i];
pts.push_back(a[i]);
pts.push_back(b[i]+1);
}
sort(pts.begin(), pts.end());
pts.resize(unique(pts.begin(), pts.end()) - pts.begin());
int m = size(pts) - 1, ans = 0;
F[0] = invF[0] = 1;
for(int i=1; i<=n; ++i){
F[i] = (F[i-1] * i) % MOD;
invF[i] = modInverse(F[i]);
}
for(int k=0; k<m; ++k){
int diff = pts[k+1] - pts[k];
for(int i=1; i<=n; ++i){
int p = 1; C[i] = 0;
for(int j=1; j<=i; ++j){
(p *= diff - j + 1) %= MOD;
C[i] += ((p * invF[j]) % MOD) * nCr(i-1, j-1);
C[i] %= MOD;
}
}
for(int i=0; i<n; ++i){
if(!valid(i, k)) continue;
int cnt = 1;
for(int j=i; --j>=0; ){
if(k) (dp[i][k] += dp[j][k-1] * C[cnt]) %= MOD;
cnt += valid(j, k);
}
(dp[i][k] += C[cnt]) %= MOD;
(ans += dp[i][k]) %= MOD;
}
for(int i=0; i<n; ++i){
(dp[i][k] += dp[i][k-1]) %= MOD;
}
}
cout << (ans % MOD + MOD) % MOD;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1167 ms |
4424 KB |
Output is correct |
| 2 |
Correct |
1175 ms |
4344 KB |
Output is correct |
| 3 |
Correct |
1178 ms |
4264 KB |
Output is correct |
| 4 |
Correct |
1179 ms |
4344 KB |
Output is correct |
| 5 |
Correct |
1171 ms |
4268 KB |
Output is correct |
| 6 |
Correct |
1174 ms |
4380 KB |
Output is correct |
| 7 |
Correct |
1187 ms |
4236 KB |
Output is correct |
| 8 |
Correct |
1167 ms |
4284 KB |
Output is correct |
| 9 |
Correct |
1167 ms |
4272 KB |
Output is correct |
| 10 |
Correct |
1163 ms |
4188 KB |
Output is correct |
| 11 |
Correct |
1171 ms |
4268 KB |
Output is correct |
| 12 |
Correct |
1169 ms |
4292 KB |
Output is correct |
| 13 |
Correct |
1171 ms |
4364 KB |
Output is correct |
| 14 |
Correct |
1161 ms |
4316 KB |
Output is correct |
| 15 |
Correct |
1171 ms |
4324 KB |
Output is correct |
| 16 |
Correct |
209 ms |
3020 KB |
Output is correct |
| 17 |
Correct |
222 ms |
2968 KB |
Output is correct |
| 18 |
Correct |
217 ms |
3020 KB |
Output is correct |
| 19 |
Correct |
224 ms |
3052 KB |
Output is correct |
| 20 |
Correct |
214 ms |
3012 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1167 ms |
4424 KB |
Output is correct |
| 2 |
Correct |
1175 ms |
4344 KB |
Output is correct |
| 3 |
Correct |
1178 ms |
4264 KB |
Output is correct |
| 4 |
Correct |
1179 ms |
4344 KB |
Output is correct |
| 5 |
Correct |
1171 ms |
4268 KB |
Output is correct |
| 6 |
Correct |
1174 ms |
4380 KB |
Output is correct |
| 7 |
Correct |
1187 ms |
4236 KB |
Output is correct |
| 8 |
Correct |
1167 ms |
4284 KB |
Output is correct |
| 9 |
Correct |
1167 ms |
4272 KB |
Output is correct |
| 10 |
Correct |
1163 ms |
4188 KB |
Output is correct |
| 11 |
Correct |
1171 ms |
4268 KB |
Output is correct |
| 12 |
Correct |
1169 ms |
4292 KB |
Output is correct |
| 13 |
Correct |
1171 ms |
4364 KB |
Output is correct |
| 14 |
Correct |
1161 ms |
4316 KB |
Output is correct |
| 15 |
Correct |
1171 ms |
4324 KB |
Output is correct |
| 16 |
Correct |
209 ms |
3020 KB |
Output is correct |
| 17 |
Correct |
222 ms |
2968 KB |
Output is correct |
| 18 |
Correct |
217 ms |
3020 KB |
Output is correct |
| 19 |
Correct |
224 ms |
3052 KB |
Output is correct |
| 20 |
Correct |
214 ms |
3012 KB |
Output is correct |
| 21 |
Correct |
1276 ms |
4364 KB |
Output is correct |
| 22 |
Correct |
1276 ms |
4304 KB |
Output is correct |
| 23 |
Correct |
1242 ms |
4264 KB |
Output is correct |
| 24 |
Correct |
1244 ms |
4412 KB |
Output is correct |
| 25 |
Correct |
1245 ms |
4356 KB |
Output is correct |
| 26 |
Correct |
1309 ms |
4364 KB |
Output is correct |
| 27 |
Correct |
1327 ms |
4264 KB |
Output is correct |
| 28 |
Correct |
1308 ms |
4164 KB |
Output is correct |
| 29 |
Correct |
1291 ms |
4360 KB |
Output is correct |
| 30 |
Correct |
1164 ms |
4340 KB |
Output is correct |
| 31 |
Correct |
1174 ms |
4292 KB |
Output is correct |
| 32 |
Correct |
1157 ms |
4268 KB |
Output is correct |
| 33 |
Correct |
1167 ms |
4292 KB |
Output is correct |
| 34 |
Correct |
1166 ms |
4376 KB |
Output is correct |
| 35 |
Correct |
1176 ms |
4344 KB |
Output is correct |
| 36 |
Correct |
1166 ms |
4328 KB |
Output is correct |
| 37 |
Correct |
1174 ms |
4268 KB |
Output is correct |
| 38 |
Correct |
1163 ms |
4300 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
12 ms |
844 KB |
Output is correct |
| 2 |
Correct |
12 ms |
876 KB |
Output is correct |
| 3 |
Correct |
12 ms |
844 KB |
Output is correct |
| 4 |
Correct |
12 ms |
868 KB |
Output is correct |
| 5 |
Correct |
14 ms |
780 KB |
Output is correct |
| 6 |
Correct |
13 ms |
824 KB |
Output is correct |
| 7 |
Correct |
13 ms |
844 KB |
Output is correct |
| 8 |
Correct |
13 ms |
844 KB |
Output is correct |
| 9 |
Correct |
14 ms |
832 KB |
Output is correct |
| 10 |
Correct |
13 ms |
812 KB |
Output is correct |
| 11 |
Correct |
12 ms |
844 KB |
Output is correct |
| 12 |
Correct |
12 ms |
888 KB |
Output is correct |
| 13 |
Correct |
12 ms |
808 KB |
Output is correct |
| 14 |
Correct |
12 ms |
848 KB |
Output is correct |
| 15 |
Correct |
12 ms |
844 KB |
Output is correct |
| 16 |
Correct |
7 ms |
792 KB |
Output is correct |
| 17 |
Correct |
7 ms |
716 KB |
Output is correct |
| 18 |
Correct |
8 ms |
716 KB |
Output is correct |
| 19 |
Correct |
7 ms |
716 KB |
Output is correct |
| 20 |
Correct |
7 ms |
792 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1167 ms |
4424 KB |
Output is correct |
| 2 |
Correct |
1175 ms |
4344 KB |
Output is correct |
| 3 |
Correct |
1178 ms |
4264 KB |
Output is correct |
| 4 |
Correct |
1179 ms |
4344 KB |
Output is correct |
| 5 |
Correct |
1171 ms |
4268 KB |
Output is correct |
| 6 |
Correct |
1174 ms |
4380 KB |
Output is correct |
| 7 |
Correct |
1187 ms |
4236 KB |
Output is correct |
| 8 |
Correct |
1167 ms |
4284 KB |
Output is correct |
| 9 |
Correct |
1167 ms |
4272 KB |
Output is correct |
| 10 |
Correct |
1163 ms |
4188 KB |
Output is correct |
| 11 |
Correct |
1171 ms |
4268 KB |
Output is correct |
| 12 |
Correct |
1169 ms |
4292 KB |
Output is correct |
| 13 |
Correct |
1171 ms |
4364 KB |
Output is correct |
| 14 |
Correct |
1161 ms |
4316 KB |
Output is correct |
| 15 |
Correct |
1171 ms |
4324 KB |
Output is correct |
| 16 |
Correct |
209 ms |
3020 KB |
Output is correct |
| 17 |
Correct |
222 ms |
2968 KB |
Output is correct |
| 18 |
Correct |
217 ms |
3020 KB |
Output is correct |
| 19 |
Correct |
224 ms |
3052 KB |
Output is correct |
| 20 |
Correct |
214 ms |
3012 KB |
Output is correct |
| 21 |
Correct |
1276 ms |
4364 KB |
Output is correct |
| 22 |
Correct |
1276 ms |
4304 KB |
Output is correct |
| 23 |
Correct |
1242 ms |
4264 KB |
Output is correct |
| 24 |
Correct |
1244 ms |
4412 KB |
Output is correct |
| 25 |
Correct |
1245 ms |
4356 KB |
Output is correct |
| 26 |
Correct |
1309 ms |
4364 KB |
Output is correct |
| 27 |
Correct |
1327 ms |
4264 KB |
Output is correct |
| 28 |
Correct |
1308 ms |
4164 KB |
Output is correct |
| 29 |
Correct |
1291 ms |
4360 KB |
Output is correct |
| 30 |
Correct |
1164 ms |
4340 KB |
Output is correct |
| 31 |
Correct |
1174 ms |
4292 KB |
Output is correct |
| 32 |
Correct |
1157 ms |
4268 KB |
Output is correct |
| 33 |
Correct |
1167 ms |
4292 KB |
Output is correct |
| 34 |
Correct |
1166 ms |
4376 KB |
Output is correct |
| 35 |
Correct |
1176 ms |
4344 KB |
Output is correct |
| 36 |
Correct |
1166 ms |
4328 KB |
Output is correct |
| 37 |
Correct |
1174 ms |
4268 KB |
Output is correct |
| 38 |
Correct |
1163 ms |
4300 KB |
Output is correct |
| 39 |
Correct |
12 ms |
844 KB |
Output is correct |
| 40 |
Correct |
12 ms |
876 KB |
Output is correct |
| 41 |
Correct |
12 ms |
844 KB |
Output is correct |
| 42 |
Correct |
12 ms |
868 KB |
Output is correct |
| 43 |
Correct |
14 ms |
780 KB |
Output is correct |
| 44 |
Correct |
13 ms |
824 KB |
Output is correct |
| 45 |
Correct |
13 ms |
844 KB |
Output is correct |
| 46 |
Correct |
13 ms |
844 KB |
Output is correct |
| 47 |
Correct |
14 ms |
832 KB |
Output is correct |
| 48 |
Correct |
13 ms |
812 KB |
Output is correct |
| 49 |
Correct |
12 ms |
844 KB |
Output is correct |
| 50 |
Correct |
12 ms |
888 KB |
Output is correct |
| 51 |
Correct |
12 ms |
808 KB |
Output is correct |
| 52 |
Correct |
12 ms |
848 KB |
Output is correct |
| 53 |
Correct |
12 ms |
844 KB |
Output is correct |
| 54 |
Correct |
7 ms |
792 KB |
Output is correct |
| 55 |
Correct |
7 ms |
716 KB |
Output is correct |
| 56 |
Correct |
8 ms |
716 KB |
Output is correct |
| 57 |
Correct |
7 ms |
716 KB |
Output is correct |
| 58 |
Correct |
7 ms |
792 KB |
Output is correct |
| 59 |
Correct |
1391 ms |
4264 KB |
Output is correct |
| 60 |
Correct |
1375 ms |
4392 KB |
Output is correct |
| 61 |
Correct |
1361 ms |
4392 KB |
Output is correct |
| 62 |
Correct |
1392 ms |
4420 KB |
Output is correct |
| 63 |
Correct |
1398 ms |
4264 KB |
Output is correct |
| 64 |
Correct |
1488 ms |
4272 KB |
Output is correct |
| 65 |
Correct |
1478 ms |
4308 KB |
Output is correct |
| 66 |
Correct |
1471 ms |
4332 KB |
Output is correct |
| 67 |
Correct |
1485 ms |
4340 KB |
Output is correct |
| 68 |
Correct |
1503 ms |
4420 KB |
Output is correct |
| 69 |
Correct |
1332 ms |
4360 KB |
Output is correct |
| 70 |
Correct |
1330 ms |
4292 KB |
Output is correct |
| 71 |
Correct |
1324 ms |
4280 KB |
Output is correct |
| 72 |
Correct |
1343 ms |
4320 KB |
Output is correct |
| 73 |
Correct |
1337 ms |
4304 KB |
Output is correct |
| 74 |
Correct |
250 ms |
3012 KB |
Output is correct |
| 75 |
Correct |
268 ms |
3048 KB |
Output is correct |
| 76 |
Correct |
256 ms |
3016 KB |
Output is correct |
| 77 |
Correct |
259 ms |
3064 KB |
Output is correct |
| 78 |
Correct |
251 ms |
3012 KB |
Output is correct |
