| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 255088 |
2020-07-31T09:06:46 Z |
maximath_1 |
Boat (APIO16_boat) |
C++11 |
|
448 ms |
8440 KB |
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
#define ll long long
const ll mod = 1e9 + 7;
int n;
ll st[1005], ed[1005], len[1005];
ll inv[1005], dp[1005][1005];
vector<ll> cc;
ll add(ll a, ll b){
ll res = a + b;
if(res >= mod) res -= mod;
return res;
}
ll mul(ll a, ll b){
return (a * 1ll * b) % mod;
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n;
for(int i = 1; i <= n; i ++){
cin >> st[i] >> ed[i];
ed[i] ++;
}
inv[1] = 1ll;
for(int i = 2; i <= n; i ++)
inv[i] = mul(mod / i, mod - inv[mod % i]);
for(int i = 1; i <= n; i ++){
cc.push_back(st[i]);cc.push_back(ed[i]);
}
sort(cc.begin(), cc.end());
cc.erase(unique(cc.begin(), cc.end()), cc.end());
for(int i = 1; i <= n; i ++){
st[i] = upper_bound(cc.begin(), cc.end(), st[i]) - cc.begin();
ed[i] = upper_bound(cc.begin(), cc.end(), ed[i]) - cc.begin();
}
int sz = cc.size() - 1;
for(int i = 1; i <= sz; i ++)
len[i] = cc[i] - cc[i - 1];
dp[0][0] = 1ll;
for(int i = 1; i <= sz; i ++){
dp[i][0] = 1ll;
for(int j = 1; j <= n; j ++){
ll choose = len[i]; int cnt = 1;
dp[i][j] = dp[i - 1][j];
if(i < st[j] || i >= ed[j]) continue;
for(int k = j - 1; k >= 0; k --){
dp[i][j] = add(dp[i][j], mul(dp[i - 1][k], choose));
if(st[k] <= i && i < ed[k]){
choose = mul(choose, mul(add(cnt, len[i]), inv[cnt + 1]));
cnt ++;
}
}
}
}
ll ans = 0ll;
for(int i = 1; i <= n; i ++)
ans = add(ans, dp[sz][i]);
cout << ans << endl;
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 2 |
Correct |
7 ms |
8192 KB |
Output is correct |
| 3 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 4 |
Correct |
7 ms |
8192 KB |
Output is correct |
| 5 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 6 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 7 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 8 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 9 |
Correct |
5 ms |
8320 KB |
Output is correct |
| 10 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 11 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 12 |
Correct |
8 ms |
8192 KB |
Output is correct |
| 13 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 14 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 15 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 16 |
Correct |
2 ms |
1792 KB |
Output is correct |
| 17 |
Correct |
2 ms |
1920 KB |
Output is correct |
| 18 |
Correct |
3 ms |
1792 KB |
Output is correct |
| 19 |
Correct |
3 ms |
1920 KB |
Output is correct |
| 20 |
Correct |
3 ms |
1792 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 2 |
Correct |
7 ms |
8192 KB |
Output is correct |
| 3 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 4 |
Correct |
7 ms |
8192 KB |
Output is correct |
| 5 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 6 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 7 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 8 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 9 |
Correct |
5 ms |
8320 KB |
Output is correct |
| 10 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 11 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 12 |
Correct |
8 ms |
8192 KB |
Output is correct |
| 13 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 14 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 15 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 16 |
Correct |
2 ms |
1792 KB |
Output is correct |
| 17 |
Correct |
2 ms |
1920 KB |
Output is correct |
| 18 |
Correct |
3 ms |
1792 KB |
Output is correct |
| 19 |
Correct |
3 ms |
1920 KB |
Output is correct |
| 20 |
Correct |
3 ms |
1792 KB |
Output is correct |
| 21 |
Correct |
250 ms |
7516 KB |
Output is correct |
| 22 |
Correct |
231 ms |
7676 KB |
Output is correct |
| 23 |
Correct |
216 ms |
7544 KB |
Output is correct |
| 24 |
Correct |
246 ms |
7416 KB |
Output is correct |
| 25 |
Correct |
243 ms |
7544 KB |
Output is correct |
| 26 |
Correct |
390 ms |
7288 KB |
Output is correct |
| 27 |
Correct |
382 ms |
7416 KB |
Output is correct |
| 28 |
Correct |
387 ms |
7288 KB |
Output is correct |
| 29 |
Correct |
366 ms |
7288 KB |
Output is correct |
| 30 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 31 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 32 |
Correct |
8 ms |
8192 KB |
Output is correct |
| 33 |
Correct |
8 ms |
8320 KB |
Output is correct |
| 34 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 35 |
Correct |
8 ms |
8192 KB |
Output is correct |
| 36 |
Correct |
10 ms |
8192 KB |
Output is correct |
| 37 |
Correct |
8 ms |
8192 KB |
Output is correct |
| 38 |
Correct |
8 ms |
8192 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 2 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 4 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 5 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 6 |
Correct |
5 ms |
1280 KB |
Output is correct |
| 7 |
Correct |
4 ms |
1280 KB |
Output is correct |
| 8 |
Correct |
5 ms |
1280 KB |
Output is correct |
| 9 |
Correct |
5 ms |
1280 KB |
Output is correct |
| 10 |
Correct |
5 ms |
1280 KB |
Output is correct |
| 11 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 12 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 13 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 14 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 15 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 16 |
Correct |
2 ms |
896 KB |
Output is correct |
| 17 |
Correct |
2 ms |
896 KB |
Output is correct |
| 18 |
Correct |
2 ms |
896 KB |
Output is correct |
| 19 |
Correct |
2 ms |
896 KB |
Output is correct |
| 20 |
Correct |
2 ms |
896 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 2 |
Correct |
7 ms |
8192 KB |
Output is correct |
| 3 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 4 |
Correct |
7 ms |
8192 KB |
Output is correct |
| 5 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 6 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 7 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 8 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 9 |
Correct |
5 ms |
8320 KB |
Output is correct |
| 10 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 11 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 12 |
Correct |
8 ms |
8192 KB |
Output is correct |
| 13 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 14 |
Correct |
5 ms |
8192 KB |
Output is correct |
| 15 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 16 |
Correct |
2 ms |
1792 KB |
Output is correct |
| 17 |
Correct |
2 ms |
1920 KB |
Output is correct |
| 18 |
Correct |
3 ms |
1792 KB |
Output is correct |
| 19 |
Correct |
3 ms |
1920 KB |
Output is correct |
| 20 |
Correct |
3 ms |
1792 KB |
Output is correct |
| 21 |
Correct |
250 ms |
7516 KB |
Output is correct |
| 22 |
Correct |
231 ms |
7676 KB |
Output is correct |
| 23 |
Correct |
216 ms |
7544 KB |
Output is correct |
| 24 |
Correct |
246 ms |
7416 KB |
Output is correct |
| 25 |
Correct |
243 ms |
7544 KB |
Output is correct |
| 26 |
Correct |
390 ms |
7288 KB |
Output is correct |
| 27 |
Correct |
382 ms |
7416 KB |
Output is correct |
| 28 |
Correct |
387 ms |
7288 KB |
Output is correct |
| 29 |
Correct |
366 ms |
7288 KB |
Output is correct |
| 30 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 31 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 32 |
Correct |
8 ms |
8192 KB |
Output is correct |
| 33 |
Correct |
8 ms |
8320 KB |
Output is correct |
| 34 |
Correct |
6 ms |
8192 KB |
Output is correct |
| 35 |
Correct |
8 ms |
8192 KB |
Output is correct |
| 36 |
Correct |
10 ms |
8192 KB |
Output is correct |
| 37 |
Correct |
8 ms |
8192 KB |
Output is correct |
| 38 |
Correct |
8 ms |
8192 KB |
Output is correct |
| 39 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 40 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 41 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 42 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 43 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 44 |
Correct |
5 ms |
1280 KB |
Output is correct |
| 45 |
Correct |
4 ms |
1280 KB |
Output is correct |
| 46 |
Correct |
5 ms |
1280 KB |
Output is correct |
| 47 |
Correct |
5 ms |
1280 KB |
Output is correct |
| 48 |
Correct |
5 ms |
1280 KB |
Output is correct |
| 49 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 50 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 51 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 52 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 53 |
Correct |
3 ms |
1280 KB |
Output is correct |
| 54 |
Correct |
2 ms |
896 KB |
Output is correct |
| 55 |
Correct |
2 ms |
896 KB |
Output is correct |
| 56 |
Correct |
2 ms |
896 KB |
Output is correct |
| 57 |
Correct |
2 ms |
896 KB |
Output is correct |
| 58 |
Correct |
2 ms |
896 KB |
Output is correct |
| 59 |
Correct |
264 ms |
8176 KB |
Output is correct |
| 60 |
Correct |
249 ms |
8184 KB |
Output is correct |
| 61 |
Correct |
237 ms |
8184 KB |
Output is correct |
| 62 |
Correct |
272 ms |
8184 KB |
Output is correct |
| 63 |
Correct |
258 ms |
8312 KB |
Output is correct |
| 64 |
Correct |
443 ms |
8184 KB |
Output is correct |
| 65 |
Correct |
438 ms |
8184 KB |
Output is correct |
| 66 |
Correct |
448 ms |
8184 KB |
Output is correct |
| 67 |
Correct |
436 ms |
8440 KB |
Output is correct |
| 68 |
Correct |
434 ms |
8312 KB |
Output is correct |
| 69 |
Correct |
208 ms |
8312 KB |
Output is correct |
| 70 |
Correct |
205 ms |
8292 KB |
Output is correct |
| 71 |
Correct |
204 ms |
8312 KB |
Output is correct |
| 72 |
Correct |
215 ms |
8184 KB |
Output is correct |
| 73 |
Correct |
216 ms |
8312 KB |
Output is correct |
| 74 |
Correct |
51 ms |
1784 KB |
Output is correct |
| 75 |
Correct |
48 ms |
1784 KB |
Output is correct |
| 76 |
Correct |
55 ms |
1784 KB |
Output is correct |
| 77 |
Correct |
51 ms |
1784 KB |
Output is correct |
| 78 |
Correct |
53 ms |
1784 KB |
Output is correct |
