| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 41837 |
2018-02-21T11:25:58 Z |
IvanC |
Boat (APIO16_boat) |
C++14 |
|
1332 ms |
6924 KB |
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 501;
const ll MOD = 1e9 + 7;
ll dp[MAXN][MAXN],dp2[MAXN][2*MAXN],somatorio1[MAXN],somatorio2[MAXN];
ll precalc[MAXN],A[MAXN],B[MAXN],N,M;
vector<ll> intervalos;
ll binary_expo(ll val,ll pot){
if(pot == 0) return 1LL;
if(pot % 2 == 0){
ll davez = binary_expo(val,pot/2);
return (davez*davez) % MOD;
}
return (val*binary_expo(val,pot-1)) % MOD;
}
int main(){
cin >> N;
for(int i = 1;i<=N;i++){
cin >> A[i] >> B[i];
B[i]++;
intervalos.push_back(A[i]);
intervalos.push_back(B[i]);
}
sort(intervalos.begin(),intervalos.end());
intervalos.erase(unique(intervalos.begin(),intervalos.end()),intervalos.end());
M = intervalos.size() - 2;
ll tot = 0;
for(int v = M;v>=0;v--){
memset(dp,0,sizeof(dp));
memset(somatorio2,0,sizeof(somatorio2));
ll tam = intervalos[v+1] - intervalos[v];
ll vaiate = min(tam,N);
for(ll i = 2;i<=vaiate;i++){
precalc[i] = (tam - i + 1)*binary_expo(i,MOD-2);
precalc[i] %= MOD;
}
for(ll i = N;i>=1;i--){
if(!(A[i] <= intervalos[v] && intervalos[v+1] <= B[i] )) continue;
dp[i][1] = 1;
for(ll j = i+1;j<=N;j++){
dp[i][1] += somatorio1[j];
}
dp[i][1] %= MOD;
dp[i][1] = (dp[i][1] * tam) % MOD;
for(ll k = 2;k<=vaiate;k++){
dp[i][k] = somatorio2[k-1];
}
dp2[i][v] = dp[i][1];
somatorio2[1] += dp[i][1];
somatorio2[1] %= MOD;
for(ll k = 2;k<=vaiate;k++){
dp[i][k] %= MOD;
dp[i][k] *= precalc[k];
dp[i][k] %= MOD;
dp2[i][v] += dp[i][k];
somatorio2[k] += dp[i][k];
somatorio2[k] %= MOD;
}
dp2[i][v] %= MOD;
tot += dp2[i][v];
tot %= MOD;
}
for(int i = 1;i<=N;i++){
somatorio1[i] += dp2[i][v];
somatorio1[i] %= MOD;
}
}
cout << tot << endl;
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
197 ms |
4216 KB |
Output is correct |
| 2 |
Correct |
199 ms |
4320 KB |
Output is correct |
| 3 |
Correct |
206 ms |
4444 KB |
Output is correct |
| 4 |
Correct |
202 ms |
4444 KB |
Output is correct |
| 5 |
Correct |
201 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
210 ms |
4600 KB |
Output is correct |
| 7 |
Correct |
194 ms |
4600 KB |
Output is correct |
| 8 |
Correct |
208 ms |
4700 KB |
Output is correct |
| 9 |
Correct |
194 ms |
4700 KB |
Output is correct |
| 10 |
Correct |
204 ms |
4744 KB |
Output is correct |
| 11 |
Correct |
201 ms |
4744 KB |
Output is correct |
| 12 |
Correct |
202 ms |
4744 KB |
Output is correct |
| 13 |
Correct |
198 ms |
4744 KB |
Output is correct |
| 14 |
Correct |
201 ms |
4744 KB |
Output is correct |
| 15 |
Correct |
202 ms |
4744 KB |
Output is correct |
| 16 |
Correct |
41 ms |
4744 KB |
Output is correct |
| 17 |
Correct |
42 ms |
4744 KB |
Output is correct |
| 18 |
Correct |
41 ms |
4744 KB |
Output is correct |
| 19 |
Correct |
43 ms |
4744 KB |
Output is correct |
| 20 |
Correct |
44 ms |
4744 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
197 ms |
4216 KB |
Output is correct |
| 2 |
Correct |
199 ms |
4320 KB |
Output is correct |
| 3 |
Correct |
206 ms |
4444 KB |
Output is correct |
| 4 |
Correct |
202 ms |
4444 KB |
Output is correct |
| 5 |
Correct |
201 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
210 ms |
4600 KB |
Output is correct |
| 7 |
Correct |
194 ms |
4600 KB |
Output is correct |
| 8 |
Correct |
208 ms |
4700 KB |
Output is correct |
| 9 |
Correct |
194 ms |
4700 KB |
Output is correct |
| 10 |
Correct |
204 ms |
4744 KB |
Output is correct |
| 11 |
Correct |
201 ms |
4744 KB |
Output is correct |
| 12 |
Correct |
202 ms |
4744 KB |
Output is correct |
| 13 |
Correct |
198 ms |
4744 KB |
Output is correct |
| 14 |
Correct |
201 ms |
4744 KB |
Output is correct |
| 15 |
Correct |
202 ms |
4744 KB |
Output is correct |
| 16 |
Correct |
41 ms |
4744 KB |
Output is correct |
| 17 |
Correct |
42 ms |
4744 KB |
Output is correct |
| 18 |
Correct |
41 ms |
4744 KB |
Output is correct |
| 19 |
Correct |
43 ms |
4744 KB |
Output is correct |
| 20 |
Correct |
44 ms |
4744 KB |
Output is correct |
| 21 |
Correct |
144 ms |
5640 KB |
Output is correct |
| 22 |
Correct |
146 ms |
5740 KB |
Output is correct |
| 23 |
Correct |
147 ms |
5740 KB |
Output is correct |
| 24 |
Correct |
135 ms |
5740 KB |
Output is correct |
| 25 |
Correct |
143 ms |
5740 KB |
Output is correct |
| 26 |
Correct |
148 ms |
6252 KB |
Output is correct |
| 27 |
Correct |
153 ms |
6252 KB |
Output is correct |
| 28 |
Correct |
151 ms |
6272 KB |
Output is correct |
| 29 |
Correct |
152 ms |
6272 KB |
Output is correct |
| 30 |
Correct |
204 ms |
6272 KB |
Output is correct |
| 31 |
Correct |
195 ms |
6272 KB |
Output is correct |
| 32 |
Correct |
186 ms |
6272 KB |
Output is correct |
| 33 |
Correct |
199 ms |
6272 KB |
Output is correct |
| 34 |
Correct |
196 ms |
6272 KB |
Output is correct |
| 35 |
Correct |
197 ms |
6272 KB |
Output is correct |
| 36 |
Correct |
196 ms |
6272 KB |
Output is correct |
| 37 |
Correct |
192 ms |
6272 KB |
Output is correct |
| 38 |
Correct |
199 ms |
6272 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
36 ms |
6272 KB |
Output is correct |
| 2 |
Correct |
36 ms |
6272 KB |
Output is correct |
| 3 |
Correct |
37 ms |
6272 KB |
Output is correct |
| 4 |
Correct |
36 ms |
6272 KB |
Output is correct |
| 5 |
Correct |
38 ms |
6272 KB |
Output is correct |
| 6 |
Correct |
37 ms |
6272 KB |
Output is correct |
| 7 |
Correct |
41 ms |
6272 KB |
Output is correct |
| 8 |
Correct |
37 ms |
6272 KB |
Output is correct |
| 9 |
Correct |
38 ms |
6272 KB |
Output is correct |
| 10 |
Correct |
40 ms |
6272 KB |
Output is correct |
| 11 |
Correct |
43 ms |
6272 KB |
Output is correct |
| 12 |
Correct |
35 ms |
6272 KB |
Output is correct |
| 13 |
Correct |
36 ms |
6272 KB |
Output is correct |
| 14 |
Correct |
37 ms |
6272 KB |
Output is correct |
| 15 |
Correct |
37 ms |
6272 KB |
Output is correct |
| 16 |
Correct |
22 ms |
6272 KB |
Output is correct |
| 17 |
Correct |
24 ms |
6272 KB |
Output is correct |
| 18 |
Correct |
20 ms |
6272 KB |
Output is correct |
| 19 |
Correct |
19 ms |
6272 KB |
Output is correct |
| 20 |
Correct |
19 ms |
6272 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
197 ms |
4216 KB |
Output is correct |
| 2 |
Correct |
199 ms |
4320 KB |
Output is correct |
| 3 |
Correct |
206 ms |
4444 KB |
Output is correct |
| 4 |
Correct |
202 ms |
4444 KB |
Output is correct |
| 5 |
Correct |
201 ms |
4444 KB |
Output is correct |
| 6 |
Correct |
210 ms |
4600 KB |
Output is correct |
| 7 |
Correct |
194 ms |
4600 KB |
Output is correct |
| 8 |
Correct |
208 ms |
4700 KB |
Output is correct |
| 9 |
Correct |
194 ms |
4700 KB |
Output is correct |
| 10 |
Correct |
204 ms |
4744 KB |
Output is correct |
| 11 |
Correct |
201 ms |
4744 KB |
Output is correct |
| 12 |
Correct |
202 ms |
4744 KB |
Output is correct |
| 13 |
Correct |
198 ms |
4744 KB |
Output is correct |
| 14 |
Correct |
201 ms |
4744 KB |
Output is correct |
| 15 |
Correct |
202 ms |
4744 KB |
Output is correct |
| 16 |
Correct |
41 ms |
4744 KB |
Output is correct |
| 17 |
Correct |
42 ms |
4744 KB |
Output is correct |
| 18 |
Correct |
41 ms |
4744 KB |
Output is correct |
| 19 |
Correct |
43 ms |
4744 KB |
Output is correct |
| 20 |
Correct |
44 ms |
4744 KB |
Output is correct |
| 21 |
Correct |
144 ms |
5640 KB |
Output is correct |
| 22 |
Correct |
146 ms |
5740 KB |
Output is correct |
| 23 |
Correct |
147 ms |
5740 KB |
Output is correct |
| 24 |
Correct |
135 ms |
5740 KB |
Output is correct |
| 25 |
Correct |
143 ms |
5740 KB |
Output is correct |
| 26 |
Correct |
148 ms |
6252 KB |
Output is correct |
| 27 |
Correct |
153 ms |
6252 KB |
Output is correct |
| 28 |
Correct |
151 ms |
6272 KB |
Output is correct |
| 29 |
Correct |
152 ms |
6272 KB |
Output is correct |
| 30 |
Correct |
204 ms |
6272 KB |
Output is correct |
| 31 |
Correct |
195 ms |
6272 KB |
Output is correct |
| 32 |
Correct |
186 ms |
6272 KB |
Output is correct |
| 33 |
Correct |
199 ms |
6272 KB |
Output is correct |
| 34 |
Correct |
196 ms |
6272 KB |
Output is correct |
| 35 |
Correct |
197 ms |
6272 KB |
Output is correct |
| 36 |
Correct |
196 ms |
6272 KB |
Output is correct |
| 37 |
Correct |
192 ms |
6272 KB |
Output is correct |
| 38 |
Correct |
199 ms |
6272 KB |
Output is correct |
| 39 |
Correct |
36 ms |
6272 KB |
Output is correct |
| 40 |
Correct |
36 ms |
6272 KB |
Output is correct |
| 41 |
Correct |
37 ms |
6272 KB |
Output is correct |
| 42 |
Correct |
36 ms |
6272 KB |
Output is correct |
| 43 |
Correct |
38 ms |
6272 KB |
Output is correct |
| 44 |
Correct |
37 ms |
6272 KB |
Output is correct |
| 45 |
Correct |
41 ms |
6272 KB |
Output is correct |
| 46 |
Correct |
37 ms |
6272 KB |
Output is correct |
| 47 |
Correct |
38 ms |
6272 KB |
Output is correct |
| 48 |
Correct |
40 ms |
6272 KB |
Output is correct |
| 49 |
Correct |
43 ms |
6272 KB |
Output is correct |
| 50 |
Correct |
35 ms |
6272 KB |
Output is correct |
| 51 |
Correct |
36 ms |
6272 KB |
Output is correct |
| 52 |
Correct |
37 ms |
6272 KB |
Output is correct |
| 53 |
Correct |
37 ms |
6272 KB |
Output is correct |
| 54 |
Correct |
22 ms |
6272 KB |
Output is correct |
| 55 |
Correct |
24 ms |
6272 KB |
Output is correct |
| 56 |
Correct |
20 ms |
6272 KB |
Output is correct |
| 57 |
Correct |
19 ms |
6272 KB |
Output is correct |
| 58 |
Correct |
19 ms |
6272 KB |
Output is correct |
| 59 |
Correct |
991 ms |
6272 KB |
Output is correct |
| 60 |
Correct |
940 ms |
6272 KB |
Output is correct |
| 61 |
Correct |
898 ms |
6272 KB |
Output is correct |
| 62 |
Correct |
957 ms |
6272 KB |
Output is correct |
| 63 |
Correct |
951 ms |
6272 KB |
Output is correct |
| 64 |
Correct |
1332 ms |
6924 KB |
Output is correct |
| 65 |
Correct |
1273 ms |
6924 KB |
Output is correct |
| 66 |
Correct |
1255 ms |
6924 KB |
Output is correct |
| 67 |
Correct |
1278 ms |
6924 KB |
Output is correct |
| 68 |
Correct |
1268 ms |
6924 KB |
Output is correct |
| 69 |
Correct |
896 ms |
6924 KB |
Output is correct |
| 70 |
Correct |
919 ms |
6924 KB |
Output is correct |
| 71 |
Correct |
909 ms |
6924 KB |
Output is correct |
| 72 |
Correct |
956 ms |
6924 KB |
Output is correct |
| 73 |
Correct |
942 ms |
6924 KB |
Output is correct |
| 74 |
Correct |
108 ms |
6924 KB |
Output is correct |
| 75 |
Correct |
113 ms |
6924 KB |
Output is correct |
| 76 |
Correct |
123 ms |
6924 KB |
Output is correct |
| 77 |
Correct |
111 ms |
6924 KB |
Output is correct |
| 78 |
Correct |
118 ms |
6924 KB |
Output is correct |
