Submission #302585

# Submission time Handle Problem Language Result Execution time Memory
302585 2020-09-18T20:30:04 Z CSQ31 Boat (APIO16_boat) C++14
100 / 100
537 ms 4608 KB
#pragma GCC optimize("Ofast") 
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define fi first
#define se second
#define sz(a) (int)(a.size())
#define all(a) a.begin(),a.end()
#define lb lower_bound
#define ub upper_bound
#define owo ios_base::sync_with_stdio(0);cin.tie(0);
#define MOD (ll)(1e9+7)
#define INF (ll)(1e18)
#define debug(...) fprintf(stderr, __VA_ARGS__),fflush(stderr)
#define time__(d) for(long blockTime = 0; (blockTime == 0 ? (blockTime=clock()) != 0 : false);\
debug("%s time : %.4fs\n", d, (double)(clock() - blockTime) / CLOCKS_PER_SEC))
typedef long long int ll;
typedef long double ld;
typedef pair<ll,ll> PII;
typedef pair<int,int> pii;
typedef vector<vector<int>> vii;
typedef vector<vector<ll>> VII;
ll gcd(ll a,ll b){if(!b)return a;else return gcd(b,a%b);}
ll A[550];
ll B[550];
ll len[1050];
ll inv[551];
ll dp[550][1050];
int main()
{
   inv[1] = 1;
   for (int i=2;i<550;i++) inv[i] = (ll)inv[MOD % i] * (MOD - MOD/i) % MOD;
   int n;
   cin>>n;
   vector<ll>coords;
   for(int i=1;i<=n;i++){
	   cin>>A[i];coords.pb(A[i]);
	   cin>>B[i];coords.pb(B[i]+1);
   }
   sort(all(coords));
   coords.resize(unique(all(coords))-coords.begin());
   for(int i=1;i<=n;i++){
	   A[i] = ub(all(coords),A[i])-coords.begin();
	   B[i] = ub(all(coords),B[i])-coords.begin();
   }
   for(int i=1;i<sz(coords);i++)len[i] = coords[i] - coords[i-1];   
   for(int i=0;i<sz(coords);i++)dp[0][i] = 1;
   for(int i=1;i<=n;i++){ 
	   for(int j=A[i];j<=B[i];j++){
		   dp[i][j] = (dp[i-1][j-1]*len[j])%MOD;
		   ll choose = len[j]-1;
		   ll cnt = 1;
		   for(int k=i-1;k>0;k--){
			   if(A[k] <= j && j <= B[k]){
				   cnt++;
				   choose = (choose*(len[j]+cnt-2))%MOD;
				   choose = (choose*inv[cnt])%MOD;
				   if(!choose)break;
				   dp[i][j]=(dp[i][j]+dp[k-1][j-1]*choose)%MOD;
			   }
			   
		   }
	   }
	   dp[i][0] = 1;
		   for(int j=1;j<sz(coords);j++){
			   dp[i][j]=(dp[i][j]+dp[i-1][j]+dp[i][j-1]-dp[i-1][j-1]+MOD)%MOD;
		   }	   
   }
   cout<<(dp[n][sz(coords)-1]+MOD-1)%MOD<<'\n';
}












# Verdict Execution time Memory Grader output
1 Correct 7 ms 4480 KB Output is correct
2 Correct 7 ms 4480 KB Output is correct
3 Correct 7 ms 4480 KB Output is correct
4 Correct 7 ms 4480 KB Output is correct
5 Correct 7 ms 4480 KB Output is correct
6 Correct 7 ms 4480 KB Output is correct
7 Correct 7 ms 4480 KB Output is correct
8 Correct 7 ms 4480 KB Output is correct
9 Correct 7 ms 4480 KB Output is correct
10 Correct 7 ms 4480 KB Output is correct
11 Correct 7 ms 4480 KB Output is correct
12 Correct 7 ms 4480 KB Output is correct
13 Correct 7 ms 4480 KB Output is correct
14 Correct 7 ms 4480 KB Output is correct
15 Correct 7 ms 4480 KB Output is correct
16 Correct 3 ms 3072 KB Output is correct
17 Correct 4 ms 3072 KB Output is correct
18 Correct 3 ms 3072 KB Output is correct
19 Correct 4 ms 3072 KB Output is correct
20 Correct 3 ms 3072 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4480 KB Output is correct
2 Correct 7 ms 4480 KB Output is correct
3 Correct 7 ms 4480 KB Output is correct
4 Correct 7 ms 4480 KB Output is correct
5 Correct 7 ms 4480 KB Output is correct
6 Correct 7 ms 4480 KB Output is correct
7 Correct 7 ms 4480 KB Output is correct
8 Correct 7 ms 4480 KB Output is correct
9 Correct 7 ms 4480 KB Output is correct
10 Correct 7 ms 4480 KB Output is correct
11 Correct 7 ms 4480 KB Output is correct
12 Correct 7 ms 4480 KB Output is correct
13 Correct 7 ms 4480 KB Output is correct
14 Correct 7 ms 4480 KB Output is correct
15 Correct 7 ms 4480 KB Output is correct
16 Correct 3 ms 3072 KB Output is correct
17 Correct 4 ms 3072 KB Output is correct
18 Correct 3 ms 3072 KB Output is correct
19 Correct 4 ms 3072 KB Output is correct
20 Correct 3 ms 3072 KB Output is correct
21 Correct 180 ms 4464 KB Output is correct
22 Correct 168 ms 4432 KB Output is correct
23 Correct 153 ms 4600 KB Output is correct
24 Correct 175 ms 4420 KB Output is correct
25 Correct 174 ms 4472 KB Output is correct
26 Correct 364 ms 4472 KB Output is correct
27 Correct 362 ms 4472 KB Output is correct
28 Correct 381 ms 4472 KB Output is correct
29 Correct 380 ms 4528 KB Output is correct
30 Correct 7 ms 4608 KB Output is correct
31 Correct 7 ms 4480 KB Output is correct
32 Correct 7 ms 4480 KB Output is correct
33 Correct 7 ms 4480 KB Output is correct
34 Correct 8 ms 4480 KB Output is correct
35 Correct 7 ms 4480 KB Output is correct
36 Correct 8 ms 4480 KB Output is correct
37 Correct 8 ms 4480 KB Output is correct
38 Correct 8 ms 4480 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 896 KB Output is correct
2 Correct 2 ms 896 KB Output is correct
3 Correct 3 ms 896 KB Output is correct
4 Correct 3 ms 1024 KB Output is correct
5 Correct 3 ms 896 KB Output is correct
6 Correct 5 ms 896 KB Output is correct
7 Correct 5 ms 896 KB Output is correct
8 Correct 5 ms 896 KB Output is correct
9 Correct 5 ms 896 KB Output is correct
10 Correct 5 ms 896 KB Output is correct
11 Correct 3 ms 896 KB Output is correct
12 Correct 3 ms 896 KB Output is correct
13 Correct 3 ms 896 KB Output is correct
14 Correct 3 ms 896 KB Output is correct
15 Correct 3 ms 896 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 3 ms 896 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 4480 KB Output is correct
2 Correct 7 ms 4480 KB Output is correct
3 Correct 7 ms 4480 KB Output is correct
4 Correct 7 ms 4480 KB Output is correct
5 Correct 7 ms 4480 KB Output is correct
6 Correct 7 ms 4480 KB Output is correct
7 Correct 7 ms 4480 KB Output is correct
8 Correct 7 ms 4480 KB Output is correct
9 Correct 7 ms 4480 KB Output is correct
10 Correct 7 ms 4480 KB Output is correct
11 Correct 7 ms 4480 KB Output is correct
12 Correct 7 ms 4480 KB Output is correct
13 Correct 7 ms 4480 KB Output is correct
14 Correct 7 ms 4480 KB Output is correct
15 Correct 7 ms 4480 KB Output is correct
16 Correct 3 ms 3072 KB Output is correct
17 Correct 4 ms 3072 KB Output is correct
18 Correct 3 ms 3072 KB Output is correct
19 Correct 4 ms 3072 KB Output is correct
20 Correct 3 ms 3072 KB Output is correct
21 Correct 180 ms 4464 KB Output is correct
22 Correct 168 ms 4432 KB Output is correct
23 Correct 153 ms 4600 KB Output is correct
24 Correct 175 ms 4420 KB Output is correct
25 Correct 174 ms 4472 KB Output is correct
26 Correct 364 ms 4472 KB Output is correct
27 Correct 362 ms 4472 KB Output is correct
28 Correct 381 ms 4472 KB Output is correct
29 Correct 380 ms 4528 KB Output is correct
30 Correct 7 ms 4608 KB Output is correct
31 Correct 7 ms 4480 KB Output is correct
32 Correct 7 ms 4480 KB Output is correct
33 Correct 7 ms 4480 KB Output is correct
34 Correct 8 ms 4480 KB Output is correct
35 Correct 7 ms 4480 KB Output is correct
36 Correct 8 ms 4480 KB Output is correct
37 Correct 8 ms 4480 KB Output is correct
38 Correct 8 ms 4480 KB Output is correct
39 Correct 3 ms 896 KB Output is correct
40 Correct 2 ms 896 KB Output is correct
41 Correct 3 ms 896 KB Output is correct
42 Correct 3 ms 1024 KB Output is correct
43 Correct 3 ms 896 KB Output is correct
44 Correct 5 ms 896 KB Output is correct
45 Correct 5 ms 896 KB Output is correct
46 Correct 5 ms 896 KB Output is correct
47 Correct 5 ms 896 KB Output is correct
48 Correct 5 ms 896 KB Output is correct
49 Correct 3 ms 896 KB Output is correct
50 Correct 3 ms 896 KB Output is correct
51 Correct 3 ms 896 KB Output is correct
52 Correct 3 ms 896 KB Output is correct
53 Correct 3 ms 896 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 3 ms 896 KB Output is correct
59 Correct 234 ms 4600 KB Output is correct
60 Correct 213 ms 4472 KB Output is correct
61 Correct 200 ms 4476 KB Output is correct
62 Correct 237 ms 4600 KB Output is correct
63 Correct 221 ms 4472 KB Output is correct
64 Correct 535 ms 4560 KB Output is correct
65 Correct 537 ms 4600 KB Output is correct
66 Correct 530 ms 4472 KB Output is correct
67 Correct 533 ms 4600 KB Output is correct
68 Correct 536 ms 4600 KB Output is correct
69 Correct 202 ms 4472 KB Output is correct
70 Correct 207 ms 4480 KB Output is correct
71 Correct 203 ms 4600 KB Output is correct
72 Correct 214 ms 4472 KB Output is correct
73 Correct 219 ms 4472 KB Output is correct
74 Correct 28 ms 3192 KB Output is correct
75 Correct 25 ms 3064 KB Output is correct
76 Correct 27 ms 3064 KB Output is correct
77 Correct 27 ms 3064 KB Output is correct
78 Correct 28 ms 3064 KB Output is correct