| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 516315 |
2022-01-21T05:18:31 Z |
PeppaPig |
Boat (APIO16_boat) |
C++14 |
|
808 ms |
4432 KB |
#include <bits/stdc++.h>
#define long long long
using namespace std;
const int N = 1005;
const int M = 1e9+7;
long inv[N];
long modpow(long a, long b) {
long ret = 1;
for( ; b; b >>= 1) {
if(b & 1) ret = (ret * a) % M;
a = (a * a) % M;
}
return ret;
}
long mod(long a, int M) {
while(a >= M) a -= M;
return a;
}
int n, a[N], b[N];
long dp[N][N];
vector<int> coord;
int main() {
for(int i = 1; i < N; i++) inv[i] = modpow(i, M-2);
scanf("%d", &n);
for(int i = 1; i <= n; i++) {
scanf("%d %d", a+i, b+i);
coord.emplace_back(a[i]);
coord.emplace_back(++b[i]);
}
sort(coord.begin(), coord.end());
coord.resize(unique(coord.begin(), coord.end()) - coord.begin());
for(int i = 1; i <= n; i++) {
a[i] = lower_bound(coord.begin(), coord.end(), a[i]) - coord.begin() + 1;
b[i] = lower_bound(coord.begin(), coord.end(), b[i]) - coord.begin() + 1;
}
for(int i = 0; i < N; i++) dp[0][i] = 1;
for(int i = 1; i <= n; i++) {
for(int j = a[i]; j < b[i]; j++) {
long p = coord[j] - coord[j-1], cnt = 1;
for(int k = i-1; ~k; k--) {
dp[i][j] = mod(dp[i][j] + (p * dp[k][j-1]) % M, M);
if(a[k] <= j && j < b[k]) {
++cnt;
p = (p * (coord[j] - coord[j-1] + cnt - 1)) % M;
p = (p * inv[cnt]) % M;
}
}
}
for(int j = 1; j < N; j++) dp[i][j] = mod(dp[i][j] + dp[i][j-1], M);
}
long ans = 0;
for(int i = 1; i <= n; i++) ans = mod(ans + dp[i][N-1], M);
printf("%lld\n", ans);
return 0;
}
Compilation message
boat.cpp: In function 'int main()':
boat.cpp:32:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
32 | scanf("%d", &n);
| ~~~~~^~~~~~~~~~
boat.cpp:34:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
34 | scanf("%d %d", a+i, b+i);
| ~~~~~^~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 2 |
Correct |
5 ms |
4136 KB |
Output is correct |
| 3 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 4 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 5 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 6 |
Correct |
6 ms |
4204 KB |
Output is correct |
| 7 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 8 |
Correct |
5 ms |
4232 KB |
Output is correct |
| 9 |
Correct |
5 ms |
4156 KB |
Output is correct |
| 10 |
Correct |
5 ms |
4156 KB |
Output is correct |
| 11 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 12 |
Correct |
4 ms |
4172 KB |
Output is correct |
| 13 |
Correct |
5 ms |
4276 KB |
Output is correct |
| 14 |
Correct |
5 ms |
4152 KB |
Output is correct |
| 15 |
Correct |
5 ms |
4136 KB |
Output is correct |
| 16 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 17 |
Correct |
5 ms |
4152 KB |
Output is correct |
| 18 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 19 |
Correct |
5 ms |
4148 KB |
Output is correct |
| 20 |
Correct |
5 ms |
4172 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 2 |
Correct |
5 ms |
4136 KB |
Output is correct |
| 3 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 4 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 5 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 6 |
Correct |
6 ms |
4204 KB |
Output is correct |
| 7 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 8 |
Correct |
5 ms |
4232 KB |
Output is correct |
| 9 |
Correct |
5 ms |
4156 KB |
Output is correct |
| 10 |
Correct |
5 ms |
4156 KB |
Output is correct |
| 11 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 12 |
Correct |
4 ms |
4172 KB |
Output is correct |
| 13 |
Correct |
5 ms |
4276 KB |
Output is correct |
| 14 |
Correct |
5 ms |
4152 KB |
Output is correct |
| 15 |
Correct |
5 ms |
4136 KB |
Output is correct |
| 16 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 17 |
Correct |
5 ms |
4152 KB |
Output is correct |
| 18 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 19 |
Correct |
5 ms |
4148 KB |
Output is correct |
| 20 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 21 |
Correct |
496 ms |
4292 KB |
Output is correct |
| 22 |
Correct |
466 ms |
4432 KB |
Output is correct |
| 23 |
Correct |
437 ms |
4136 KB |
Output is correct |
| 24 |
Correct |
462 ms |
4208 KB |
Output is correct |
| 25 |
Correct |
453 ms |
4268 KB |
Output is correct |
| 26 |
Correct |
683 ms |
4184 KB |
Output is correct |
| 27 |
Correct |
713 ms |
4252 KB |
Output is correct |
| 28 |
Correct |
706 ms |
4280 KB |
Output is correct |
| 29 |
Correct |
686 ms |
4268 KB |
Output is correct |
| 30 |
Correct |
7 ms |
4172 KB |
Output is correct |
| 31 |
Correct |
7 ms |
4172 KB |
Output is correct |
| 32 |
Correct |
7 ms |
4152 KB |
Output is correct |
| 33 |
Correct |
7 ms |
4172 KB |
Output is correct |
| 34 |
Correct |
6 ms |
4156 KB |
Output is correct |
| 35 |
Correct |
7 ms |
4256 KB |
Output is correct |
| 36 |
Correct |
7 ms |
4152 KB |
Output is correct |
| 37 |
Correct |
7 ms |
4172 KB |
Output is correct |
| 38 |
Correct |
7 ms |
4172 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
1100 KB |
Output is correct |
| 2 |
Correct |
5 ms |
1008 KB |
Output is correct |
| 3 |
Correct |
5 ms |
1100 KB |
Output is correct |
| 4 |
Correct |
5 ms |
1100 KB |
Output is correct |
| 5 |
Correct |
6 ms |
1008 KB |
Output is correct |
| 6 |
Correct |
8 ms |
1100 KB |
Output is correct |
| 7 |
Correct |
8 ms |
1100 KB |
Output is correct |
| 8 |
Correct |
7 ms |
1092 KB |
Output is correct |
| 9 |
Correct |
9 ms |
1092 KB |
Output is correct |
| 10 |
Correct |
8 ms |
1080 KB |
Output is correct |
| 11 |
Correct |
6 ms |
1100 KB |
Output is correct |
| 12 |
Correct |
4 ms |
1100 KB |
Output is correct |
| 13 |
Correct |
5 ms |
1100 KB |
Output is correct |
| 14 |
Correct |
4 ms |
1100 KB |
Output is correct |
| 15 |
Correct |
5 ms |
1096 KB |
Output is correct |
| 16 |
Correct |
4 ms |
1100 KB |
Output is correct |
| 17 |
Correct |
3 ms |
1100 KB |
Output is correct |
| 18 |
Correct |
3 ms |
1100 KB |
Output is correct |
| 19 |
Correct |
3 ms |
1100 KB |
Output is correct |
| 20 |
Correct |
4 ms |
1100 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 2 |
Correct |
5 ms |
4136 KB |
Output is correct |
| 3 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 4 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 5 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 6 |
Correct |
6 ms |
4204 KB |
Output is correct |
| 7 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 8 |
Correct |
5 ms |
4232 KB |
Output is correct |
| 9 |
Correct |
5 ms |
4156 KB |
Output is correct |
| 10 |
Correct |
5 ms |
4156 KB |
Output is correct |
| 11 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 12 |
Correct |
4 ms |
4172 KB |
Output is correct |
| 13 |
Correct |
5 ms |
4276 KB |
Output is correct |
| 14 |
Correct |
5 ms |
4152 KB |
Output is correct |
| 15 |
Correct |
5 ms |
4136 KB |
Output is correct |
| 16 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 17 |
Correct |
5 ms |
4152 KB |
Output is correct |
| 18 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 19 |
Correct |
5 ms |
4148 KB |
Output is correct |
| 20 |
Correct |
5 ms |
4172 KB |
Output is correct |
| 21 |
Correct |
496 ms |
4292 KB |
Output is correct |
| 22 |
Correct |
466 ms |
4432 KB |
Output is correct |
| 23 |
Correct |
437 ms |
4136 KB |
Output is correct |
| 24 |
Correct |
462 ms |
4208 KB |
Output is correct |
| 25 |
Correct |
453 ms |
4268 KB |
Output is correct |
| 26 |
Correct |
683 ms |
4184 KB |
Output is correct |
| 27 |
Correct |
713 ms |
4252 KB |
Output is correct |
| 28 |
Correct |
706 ms |
4280 KB |
Output is correct |
| 29 |
Correct |
686 ms |
4268 KB |
Output is correct |
| 30 |
Correct |
7 ms |
4172 KB |
Output is correct |
| 31 |
Correct |
7 ms |
4172 KB |
Output is correct |
| 32 |
Correct |
7 ms |
4152 KB |
Output is correct |
| 33 |
Correct |
7 ms |
4172 KB |
Output is correct |
| 34 |
Correct |
6 ms |
4156 KB |
Output is correct |
| 35 |
Correct |
7 ms |
4256 KB |
Output is correct |
| 36 |
Correct |
7 ms |
4152 KB |
Output is correct |
| 37 |
Correct |
7 ms |
4172 KB |
Output is correct |
| 38 |
Correct |
7 ms |
4172 KB |
Output is correct |
| 39 |
Correct |
5 ms |
1100 KB |
Output is correct |
| 40 |
Correct |
5 ms |
1008 KB |
Output is correct |
| 41 |
Correct |
5 ms |
1100 KB |
Output is correct |
| 42 |
Correct |
5 ms |
1100 KB |
Output is correct |
| 43 |
Correct |
6 ms |
1008 KB |
Output is correct |
| 44 |
Correct |
8 ms |
1100 KB |
Output is correct |
| 45 |
Correct |
8 ms |
1100 KB |
Output is correct |
| 46 |
Correct |
7 ms |
1092 KB |
Output is correct |
| 47 |
Correct |
9 ms |
1092 KB |
Output is correct |
| 48 |
Correct |
8 ms |
1080 KB |
Output is correct |
| 49 |
Correct |
6 ms |
1100 KB |
Output is correct |
| 50 |
Correct |
4 ms |
1100 KB |
Output is correct |
| 51 |
Correct |
5 ms |
1100 KB |
Output is correct |
| 52 |
Correct |
4 ms |
1100 KB |
Output is correct |
| 53 |
Correct |
5 ms |
1096 KB |
Output is correct |
| 54 |
Correct |
4 ms |
1100 KB |
Output is correct |
| 55 |
Correct |
3 ms |
1100 KB |
Output is correct |
| 56 |
Correct |
3 ms |
1100 KB |
Output is correct |
| 57 |
Correct |
3 ms |
1100 KB |
Output is correct |
| 58 |
Correct |
4 ms |
1100 KB |
Output is correct |
| 59 |
Correct |
513 ms |
4252 KB |
Output is correct |
| 60 |
Correct |
505 ms |
4380 KB |
Output is correct |
| 61 |
Correct |
460 ms |
4256 KB |
Output is correct |
| 62 |
Correct |
519 ms |
4224 KB |
Output is correct |
| 63 |
Correct |
531 ms |
4376 KB |
Output is correct |
| 64 |
Correct |
789 ms |
4244 KB |
Output is correct |
| 65 |
Correct |
808 ms |
4144 KB |
Output is correct |
| 66 |
Correct |
791 ms |
4184 KB |
Output is correct |
| 67 |
Correct |
783 ms |
4192 KB |
Output is correct |
| 68 |
Correct |
798 ms |
4372 KB |
Output is correct |
| 69 |
Correct |
425 ms |
4212 KB |
Output is correct |
| 70 |
Correct |
404 ms |
4176 KB |
Output is correct |
| 71 |
Correct |
433 ms |
4312 KB |
Output is correct |
| 72 |
Correct |
434 ms |
4208 KB |
Output is correct |
| 73 |
Correct |
425 ms |
4292 KB |
Output is correct |
| 74 |
Correct |
101 ms |
4164 KB |
Output is correct |
| 75 |
Correct |
113 ms |
4136 KB |
Output is correct |
| 76 |
Correct |
104 ms |
4348 KB |
Output is correct |
| 77 |
Correct |
99 ms |
4172 KB |
Output is correct |
| 78 |
Correct |
106 ms |
4220 KB |
Output is correct |
