| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 142986 |
2019-08-12T13:59:40 Z |
IC_COLDSTOP |
Boat (APIO16_boat) |
C++17 |
|
696 ms |
12536 KB |
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define int ll
#define MP make_pair
#define pb push_back
#define F first
#define S second
#define pii pair<int,int>
#define REP(i,a,b) for(int i=a; i<b; i++)
const int MX=5e2+3, mod=1e9+7;
int n, m, dp[10][MX*2][2*MX], l[MX], r[MX], num[2*MX], p[MX*2];
map<int,int> mark;
vector<int> vec;
int pw(int a, int b){
if(!b) return 1;
int nsf=pw(a,b/2);
nsf=nsf*nsf%mod;
if(b&1) nsf*=a;
return nsf%mod;
}
int32_t main(){
ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
REP(i,1,MX*2) p[i]=pw(i,mod-2);
cin>>n;
REP(i,0,n){
cin>>l[i]>>r[i];
r[i]++;
if(!mark[l[i]]) mark[l[i]]=1, vec.pb(l[i]);
if(!mark[r[i]]) mark[r[i]]=1, vec.pb(r[i]);
}
m=vec.size();
//cout<<m<<endl;
sort(vec.begin(), vec.end());
int mm=0;
dp[mm][0][0]=1;
REP(j,1,m){
dp[mm][j][0]=dp[mm][j-1][0]+dp[mm][j-1][1];
if(l[0]<vec[j] && r[0]>=vec[j]) dp[mm][j][1]=(vec[j]-vec[j-1])%mod, num[j]++;
// cout<<j<<" "<<dp[mm][j][0]<<" "<<dp[mm][j][1]<<" "<<vec[j]<<" "<<vec[j-1]<<endl;
}
REP(i,1,n){
mm^=1;
REP(j,1,m){
dp[mm][j][0]=0;
if(j>1) REP(w,0,num[j-1]+1){
dp[mm][j][0]=(dp[mm][j-1][w]+dp[mm][j][0])%mod;
// if(i==2 && j==2) cout<<" B "<<dp[mm][j][0]<<" "<<dp[mm][j-1][w]<<endl;
}
else dp[mm][j][0]=1;
int flg=0, cnt=vec[j]-vec[j-1];
if(l[i]<vec[j] && r[i]>=vec[j]) flg=1, num[j]++;
REP(w,1,num[j]+1){
dp[mm][j][w]=dp[mm^1][j][w];
if(flg){
dp[mm][j][w]=((ll)dp[mm][j][w] + (ll)dp[mm^1][j][w-1] * (cnt-w+1) %mod * p[w]%mod )%mod;
}
}
//cout<<i<<" "<<j<<" "<<flg<<" "<<num[j]<<endl;
}
}
//cout<<endl;
int sum=0;
REP(w,0,MX*2){
sum=(sum+dp[mm][m-1][w])%mod;
//cout<<w<<" "<<dp[mm][m-1][w]<<" "<<dp[mm][m-2][w]<<" "<<dp[mm][m-3][w]<<" "<<dp[mm^1][m-1][w]<<" "<<dp[mm^1][m-2][w]<<" "<<dp[mm^1][m-3][w]<<endl;
}
cout<<sum-1<<endl;
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 2 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 3 |
Correct |
16 ms |
8440 KB |
Output is correct |
| 4 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 5 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 6 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 7 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 8 |
Correct |
16 ms |
8444 KB |
Output is correct |
| 9 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 10 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 11 |
Correct |
13 ms |
8440 KB |
Output is correct |
| 12 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 13 |
Correct |
14 ms |
8568 KB |
Output is correct |
| 14 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 15 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 16 |
Correct |
5 ms |
1844 KB |
Output is correct |
| 17 |
Correct |
5 ms |
1912 KB |
Output is correct |
| 18 |
Correct |
6 ms |
1912 KB |
Output is correct |
| 19 |
Correct |
5 ms |
1912 KB |
Output is correct |
| 20 |
Correct |
6 ms |
1912 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 2 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 3 |
Correct |
16 ms |
8440 KB |
Output is correct |
| 4 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 5 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 6 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 7 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 8 |
Correct |
16 ms |
8444 KB |
Output is correct |
| 9 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 10 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 11 |
Correct |
13 ms |
8440 KB |
Output is correct |
| 12 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 13 |
Correct |
14 ms |
8568 KB |
Output is correct |
| 14 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 15 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 16 |
Correct |
5 ms |
1844 KB |
Output is correct |
| 17 |
Correct |
5 ms |
1912 KB |
Output is correct |
| 18 |
Correct |
6 ms |
1912 KB |
Output is correct |
| 19 |
Correct |
5 ms |
1912 KB |
Output is correct |
| 20 |
Correct |
6 ms |
1912 KB |
Output is correct |
| 21 |
Correct |
367 ms |
10200 KB |
Output is correct |
| 22 |
Correct |
365 ms |
10192 KB |
Output is correct |
| 23 |
Correct |
335 ms |
10056 KB |
Output is correct |
| 24 |
Correct |
357 ms |
10104 KB |
Output is correct |
| 25 |
Correct |
377 ms |
10360 KB |
Output is correct |
| 26 |
Correct |
612 ms |
10844 KB |
Output is correct |
| 27 |
Correct |
614 ms |
11128 KB |
Output is correct |
| 28 |
Correct |
599 ms |
10972 KB |
Output is correct |
| 29 |
Correct |
593 ms |
10848 KB |
Output is correct |
| 30 |
Correct |
16 ms |
8440 KB |
Output is correct |
| 31 |
Correct |
16 ms |
8440 KB |
Output is correct |
| 32 |
Correct |
15 ms |
8440 KB |
Output is correct |
| 33 |
Correct |
16 ms |
8568 KB |
Output is correct |
| 34 |
Correct |
15 ms |
8440 KB |
Output is correct |
| 35 |
Correct |
18 ms |
8440 KB |
Output is correct |
| 36 |
Correct |
16 ms |
8440 KB |
Output is correct |
| 37 |
Correct |
18 ms |
8440 KB |
Output is correct |
| 38 |
Correct |
17 ms |
8444 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
7 ms |
2168 KB |
Output is correct |
| 2 |
Correct |
6 ms |
2040 KB |
Output is correct |
| 3 |
Correct |
7 ms |
2040 KB |
Output is correct |
| 4 |
Correct |
7 ms |
2088 KB |
Output is correct |
| 5 |
Correct |
7 ms |
2144 KB |
Output is correct |
| 6 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 7 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 8 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 9 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 10 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 11 |
Correct |
8 ms |
2168 KB |
Output is correct |
| 12 |
Correct |
7 ms |
2040 KB |
Output is correct |
| 13 |
Correct |
8 ms |
2040 KB |
Output is correct |
| 14 |
Correct |
7 ms |
2040 KB |
Output is correct |
| 15 |
Correct |
7 ms |
2040 KB |
Output is correct |
| 16 |
Correct |
5 ms |
1400 KB |
Output is correct |
| 17 |
Correct |
5 ms |
1272 KB |
Output is correct |
| 18 |
Correct |
5 ms |
1400 KB |
Output is correct |
| 19 |
Correct |
5 ms |
1272 KB |
Output is correct |
| 20 |
Correct |
5 ms |
1272 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 2 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 3 |
Correct |
16 ms |
8440 KB |
Output is correct |
| 4 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 5 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 6 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 7 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 8 |
Correct |
16 ms |
8444 KB |
Output is correct |
| 9 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 10 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 11 |
Correct |
13 ms |
8440 KB |
Output is correct |
| 12 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 13 |
Correct |
14 ms |
8568 KB |
Output is correct |
| 14 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 15 |
Correct |
14 ms |
8440 KB |
Output is correct |
| 16 |
Correct |
5 ms |
1844 KB |
Output is correct |
| 17 |
Correct |
5 ms |
1912 KB |
Output is correct |
| 18 |
Correct |
6 ms |
1912 KB |
Output is correct |
| 19 |
Correct |
5 ms |
1912 KB |
Output is correct |
| 20 |
Correct |
6 ms |
1912 KB |
Output is correct |
| 21 |
Correct |
367 ms |
10200 KB |
Output is correct |
| 22 |
Correct |
365 ms |
10192 KB |
Output is correct |
| 23 |
Correct |
335 ms |
10056 KB |
Output is correct |
| 24 |
Correct |
357 ms |
10104 KB |
Output is correct |
| 25 |
Correct |
377 ms |
10360 KB |
Output is correct |
| 26 |
Correct |
612 ms |
10844 KB |
Output is correct |
| 27 |
Correct |
614 ms |
11128 KB |
Output is correct |
| 28 |
Correct |
599 ms |
10972 KB |
Output is correct |
| 29 |
Correct |
593 ms |
10848 KB |
Output is correct |
| 30 |
Correct |
16 ms |
8440 KB |
Output is correct |
| 31 |
Correct |
16 ms |
8440 KB |
Output is correct |
| 32 |
Correct |
15 ms |
8440 KB |
Output is correct |
| 33 |
Correct |
16 ms |
8568 KB |
Output is correct |
| 34 |
Correct |
15 ms |
8440 KB |
Output is correct |
| 35 |
Correct |
18 ms |
8440 KB |
Output is correct |
| 36 |
Correct |
16 ms |
8440 KB |
Output is correct |
| 37 |
Correct |
18 ms |
8440 KB |
Output is correct |
| 38 |
Correct |
17 ms |
8444 KB |
Output is correct |
| 39 |
Correct |
7 ms |
2168 KB |
Output is correct |
| 40 |
Correct |
6 ms |
2040 KB |
Output is correct |
| 41 |
Correct |
7 ms |
2040 KB |
Output is correct |
| 42 |
Correct |
7 ms |
2088 KB |
Output is correct |
| 43 |
Correct |
7 ms |
2144 KB |
Output is correct |
| 44 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 45 |
Correct |
10 ms |
2168 KB |
Output is correct |
| 46 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 47 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 48 |
Correct |
9 ms |
2168 KB |
Output is correct |
| 49 |
Correct |
8 ms |
2168 KB |
Output is correct |
| 50 |
Correct |
7 ms |
2040 KB |
Output is correct |
| 51 |
Correct |
8 ms |
2040 KB |
Output is correct |
| 52 |
Correct |
7 ms |
2040 KB |
Output is correct |
| 53 |
Correct |
7 ms |
2040 KB |
Output is correct |
| 54 |
Correct |
5 ms |
1400 KB |
Output is correct |
| 55 |
Correct |
5 ms |
1272 KB |
Output is correct |
| 56 |
Correct |
5 ms |
1400 KB |
Output is correct |
| 57 |
Correct |
5 ms |
1272 KB |
Output is correct |
| 58 |
Correct |
5 ms |
1272 KB |
Output is correct |
| 59 |
Correct |
410 ms |
11128 KB |
Output is correct |
| 60 |
Correct |
379 ms |
11036 KB |
Output is correct |
| 61 |
Correct |
383 ms |
10896 KB |
Output is correct |
| 62 |
Correct |
419 ms |
11256 KB |
Output is correct |
| 63 |
Correct |
395 ms |
11060 KB |
Output is correct |
| 64 |
Correct |
687 ms |
12292 KB |
Output is correct |
| 65 |
Correct |
696 ms |
12420 KB |
Output is correct |
| 66 |
Correct |
692 ms |
12368 KB |
Output is correct |
| 67 |
Correct |
685 ms |
12472 KB |
Output is correct |
| 68 |
Correct |
688 ms |
12536 KB |
Output is correct |
| 69 |
Correct |
408 ms |
10884 KB |
Output is correct |
| 70 |
Correct |
430 ms |
11128 KB |
Output is correct |
| 71 |
Correct |
425 ms |
11128 KB |
Output is correct |
| 72 |
Correct |
442 ms |
11108 KB |
Output is correct |
| 73 |
Correct |
441 ms |
11128 KB |
Output is correct |
| 74 |
Correct |
78 ms |
2364 KB |
Output is correct |
| 75 |
Correct |
78 ms |
2424 KB |
Output is correct |
| 76 |
Correct |
79 ms |
2296 KB |
Output is correct |
| 77 |
Correct |
79 ms |
2424 KB |
Output is correct |
| 78 |
Correct |
79 ms |
2296 KB |
Output is correct |
