| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 673407 |
2022-12-20T14:02:29 Z |
S2speed |
Boat (APIO16_boat) |
C++17 |
|
504 ms |
16252 KB |
#include<bits/stdc++.h>
using namespace std;
#pragma GCC optimize ("Ofast")
#define all(x) x.begin() , x.end()
#define sze(x) (ll)(x.size())
typedef long long ll;
const ll maxn = 1e3 + 17 , md = 1e9 + 7;
ll tav(ll n , ll k){
ll res = 1;
while(k > 0){
if(k & 1){
res *= n; res %= md;
}
n *= n; n %= md;
k >>= 1;
}
return res;
}
ll l[maxn] , r[maxn] , w[maxn] , f[maxn][maxn] , dp[maxn][maxn];
vector<ll> v;
int main(){
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
ll n;
cin>>n;
for(ll i = 0 ; i < n ; i++){
cin>>l[i]>>r[i]; l[i]--;
v.push_back(l[i]); v.push_back(r[i]);
}
sort(all(v));
v.resize(distance(v.begin() , unique(all(v))));
ll vs = sze(v);
for(ll i = 0 ; i < vs - 1 ; i++){
w[i] = v[i + 1] - v[i];
ll lm = min(w[i] , n);
for(ll j = 1 ; j <= lm ; j++){
f[i][j] = (w[i] - j + 1) * tav(j , md - 2) % md;
}
}
for(ll i = 0 ; i < n ; i++){
l[i] = lower_bound(all(v) , l[i]) - v.begin();
r[i] = lower_bound(all(v) , r[i]) - v.begin();
}
for(ll i = 0 ; i < vs - 1 ; i++) dp[i][0] = 1;
for(ll i = 0 ; i < n ; i++){
for(ll j = r[i] - 1 ; j >= l[i] ; j--){
ll h = 0 , lm = min(i + 1 , w[j]);
for(ll k = lm ; k ; k--){
ll o = dp[j][k - 1] * f[j][k] % md;
dp[j][k] += o; dp[j][k] -= (dp[j][k] >= md) * md;
h += o;
}
for(ll k = j + 1 ; k < vs ; k++){
dp[k][0] += h; dp[k][0] %= md;
}
}
}
ll ans = dp[vs - 1][0];
cout<<ans<<'\n';
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
37 ms |
10188 KB |
Output is correct |
| 2 |
Correct |
37 ms |
10324 KB |
Output is correct |
| 3 |
Correct |
38 ms |
10288 KB |
Output is correct |
| 4 |
Correct |
38 ms |
10224 KB |
Output is correct |
| 5 |
Correct |
38 ms |
10272 KB |
Output is correct |
| 6 |
Correct |
36 ms |
10224 KB |
Output is correct |
| 7 |
Correct |
37 ms |
10260 KB |
Output is correct |
| 8 |
Correct |
36 ms |
10224 KB |
Output is correct |
| 9 |
Correct |
36 ms |
10232 KB |
Output is correct |
| 10 |
Correct |
36 ms |
10220 KB |
Output is correct |
| 11 |
Correct |
39 ms |
10216 KB |
Output is correct |
| 12 |
Correct |
37 ms |
10264 KB |
Output is correct |
| 13 |
Correct |
37 ms |
10304 KB |
Output is correct |
| 14 |
Correct |
39 ms |
10216 KB |
Output is correct |
| 15 |
Correct |
37 ms |
10244 KB |
Output is correct |
| 16 |
Correct |
7 ms |
2004 KB |
Output is correct |
| 17 |
Correct |
7 ms |
2132 KB |
Output is correct |
| 18 |
Correct |
7 ms |
2132 KB |
Output is correct |
| 19 |
Correct |
7 ms |
2132 KB |
Output is correct |
| 20 |
Correct |
7 ms |
2092 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
37 ms |
10188 KB |
Output is correct |
| 2 |
Correct |
37 ms |
10324 KB |
Output is correct |
| 3 |
Correct |
38 ms |
10288 KB |
Output is correct |
| 4 |
Correct |
38 ms |
10224 KB |
Output is correct |
| 5 |
Correct |
38 ms |
10272 KB |
Output is correct |
| 6 |
Correct |
36 ms |
10224 KB |
Output is correct |
| 7 |
Correct |
37 ms |
10260 KB |
Output is correct |
| 8 |
Correct |
36 ms |
10224 KB |
Output is correct |
| 9 |
Correct |
36 ms |
10232 KB |
Output is correct |
| 10 |
Correct |
36 ms |
10220 KB |
Output is correct |
| 11 |
Correct |
39 ms |
10216 KB |
Output is correct |
| 12 |
Correct |
37 ms |
10264 KB |
Output is correct |
| 13 |
Correct |
37 ms |
10304 KB |
Output is correct |
| 14 |
Correct |
39 ms |
10216 KB |
Output is correct |
| 15 |
Correct |
37 ms |
10244 KB |
Output is correct |
| 16 |
Correct |
7 ms |
2004 KB |
Output is correct |
| 17 |
Correct |
7 ms |
2132 KB |
Output is correct |
| 18 |
Correct |
7 ms |
2132 KB |
Output is correct |
| 19 |
Correct |
7 ms |
2132 KB |
Output is correct |
| 20 |
Correct |
7 ms |
2092 KB |
Output is correct |
| 21 |
Correct |
142 ms |
7720 KB |
Output is correct |
| 22 |
Correct |
148 ms |
7764 KB |
Output is correct |
| 23 |
Correct |
150 ms |
7708 KB |
Output is correct |
| 24 |
Correct |
142 ms |
7644 KB |
Output is correct |
| 25 |
Correct |
141 ms |
7636 KB |
Output is correct |
| 26 |
Correct |
194 ms |
7552 KB |
Output is correct |
| 27 |
Correct |
193 ms |
7508 KB |
Output is correct |
| 28 |
Correct |
184 ms |
7464 KB |
Output is correct |
| 29 |
Correct |
183 ms |
7380 KB |
Output is correct |
| 30 |
Correct |
36 ms |
11016 KB |
Output is correct |
| 31 |
Correct |
36 ms |
11000 KB |
Output is correct |
| 32 |
Correct |
36 ms |
11084 KB |
Output is correct |
| 33 |
Correct |
38 ms |
11080 KB |
Output is correct |
| 34 |
Correct |
37 ms |
11092 KB |
Output is correct |
| 35 |
Correct |
35 ms |
10956 KB |
Output is correct |
| 36 |
Correct |
35 ms |
10944 KB |
Output is correct |
| 37 |
Correct |
37 ms |
11084 KB |
Output is correct |
| 38 |
Correct |
36 ms |
10952 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
6 ms |
2268 KB |
Output is correct |
| 2 |
Correct |
6 ms |
2248 KB |
Output is correct |
| 3 |
Correct |
6 ms |
2244 KB |
Output is correct |
| 4 |
Correct |
7 ms |
2260 KB |
Output is correct |
| 5 |
Correct |
6 ms |
2260 KB |
Output is correct |
| 6 |
Correct |
7 ms |
2260 KB |
Output is correct |
| 7 |
Correct |
7 ms |
2260 KB |
Output is correct |
| 8 |
Correct |
7 ms |
2260 KB |
Output is correct |
| 9 |
Correct |
8 ms |
2252 KB |
Output is correct |
| 10 |
Correct |
8 ms |
2208 KB |
Output is correct |
| 11 |
Correct |
6 ms |
2260 KB |
Output is correct |
| 12 |
Correct |
6 ms |
2260 KB |
Output is correct |
| 13 |
Correct |
6 ms |
2132 KB |
Output is correct |
| 14 |
Correct |
6 ms |
2260 KB |
Output is correct |
| 15 |
Correct |
6 ms |
2256 KB |
Output is correct |
| 16 |
Correct |
3 ms |
1364 KB |
Output is correct |
| 17 |
Correct |
3 ms |
1352 KB |
Output is correct |
| 18 |
Correct |
4 ms |
1364 KB |
Output is correct |
| 19 |
Correct |
3 ms |
1352 KB |
Output is correct |
| 20 |
Correct |
3 ms |
1236 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
37 ms |
10188 KB |
Output is correct |
| 2 |
Correct |
37 ms |
10324 KB |
Output is correct |
| 3 |
Correct |
38 ms |
10288 KB |
Output is correct |
| 4 |
Correct |
38 ms |
10224 KB |
Output is correct |
| 5 |
Correct |
38 ms |
10272 KB |
Output is correct |
| 6 |
Correct |
36 ms |
10224 KB |
Output is correct |
| 7 |
Correct |
37 ms |
10260 KB |
Output is correct |
| 8 |
Correct |
36 ms |
10224 KB |
Output is correct |
| 9 |
Correct |
36 ms |
10232 KB |
Output is correct |
| 10 |
Correct |
36 ms |
10220 KB |
Output is correct |
| 11 |
Correct |
39 ms |
10216 KB |
Output is correct |
| 12 |
Correct |
37 ms |
10264 KB |
Output is correct |
| 13 |
Correct |
37 ms |
10304 KB |
Output is correct |
| 14 |
Correct |
39 ms |
10216 KB |
Output is correct |
| 15 |
Correct |
37 ms |
10244 KB |
Output is correct |
| 16 |
Correct |
7 ms |
2004 KB |
Output is correct |
| 17 |
Correct |
7 ms |
2132 KB |
Output is correct |
| 18 |
Correct |
7 ms |
2132 KB |
Output is correct |
| 19 |
Correct |
7 ms |
2132 KB |
Output is correct |
| 20 |
Correct |
7 ms |
2092 KB |
Output is correct |
| 21 |
Correct |
142 ms |
7720 KB |
Output is correct |
| 22 |
Correct |
148 ms |
7764 KB |
Output is correct |
| 23 |
Correct |
150 ms |
7708 KB |
Output is correct |
| 24 |
Correct |
142 ms |
7644 KB |
Output is correct |
| 25 |
Correct |
141 ms |
7636 KB |
Output is correct |
| 26 |
Correct |
194 ms |
7552 KB |
Output is correct |
| 27 |
Correct |
193 ms |
7508 KB |
Output is correct |
| 28 |
Correct |
184 ms |
7464 KB |
Output is correct |
| 29 |
Correct |
183 ms |
7380 KB |
Output is correct |
| 30 |
Correct |
36 ms |
11016 KB |
Output is correct |
| 31 |
Correct |
36 ms |
11000 KB |
Output is correct |
| 32 |
Correct |
36 ms |
11084 KB |
Output is correct |
| 33 |
Correct |
38 ms |
11080 KB |
Output is correct |
| 34 |
Correct |
37 ms |
11092 KB |
Output is correct |
| 35 |
Correct |
35 ms |
10956 KB |
Output is correct |
| 36 |
Correct |
35 ms |
10944 KB |
Output is correct |
| 37 |
Correct |
37 ms |
11084 KB |
Output is correct |
| 38 |
Correct |
36 ms |
10952 KB |
Output is correct |
| 39 |
Correct |
6 ms |
2268 KB |
Output is correct |
| 40 |
Correct |
6 ms |
2248 KB |
Output is correct |
| 41 |
Correct |
6 ms |
2244 KB |
Output is correct |
| 42 |
Correct |
7 ms |
2260 KB |
Output is correct |
| 43 |
Correct |
6 ms |
2260 KB |
Output is correct |
| 44 |
Correct |
7 ms |
2260 KB |
Output is correct |
| 45 |
Correct |
7 ms |
2260 KB |
Output is correct |
| 46 |
Correct |
7 ms |
2260 KB |
Output is correct |
| 47 |
Correct |
8 ms |
2252 KB |
Output is correct |
| 48 |
Correct |
8 ms |
2208 KB |
Output is correct |
| 49 |
Correct |
6 ms |
2260 KB |
Output is correct |
| 50 |
Correct |
6 ms |
2260 KB |
Output is correct |
| 51 |
Correct |
6 ms |
2132 KB |
Output is correct |
| 52 |
Correct |
6 ms |
2260 KB |
Output is correct |
| 53 |
Correct |
6 ms |
2256 KB |
Output is correct |
| 54 |
Correct |
3 ms |
1364 KB |
Output is correct |
| 55 |
Correct |
3 ms |
1352 KB |
Output is correct |
| 56 |
Correct |
4 ms |
1364 KB |
Output is correct |
| 57 |
Correct |
3 ms |
1352 KB |
Output is correct |
| 58 |
Correct |
3 ms |
1236 KB |
Output is correct |
| 59 |
Correct |
378 ms |
16252 KB |
Output is correct |
| 60 |
Correct |
358 ms |
16132 KB |
Output is correct |
| 61 |
Correct |
377 ms |
16108 KB |
Output is correct |
| 62 |
Correct |
384 ms |
16124 KB |
Output is correct |
| 63 |
Correct |
361 ms |
16144 KB |
Output is correct |
| 64 |
Correct |
488 ms |
15780 KB |
Output is correct |
| 65 |
Correct |
495 ms |
15608 KB |
Output is correct |
| 66 |
Correct |
496 ms |
15872 KB |
Output is correct |
| 67 |
Correct |
487 ms |
15720 KB |
Output is correct |
| 68 |
Correct |
504 ms |
15884 KB |
Output is correct |
| 69 |
Correct |
322 ms |
15432 KB |
Output is correct |
| 70 |
Correct |
319 ms |
15688 KB |
Output is correct |
| 71 |
Correct |
327 ms |
15392 KB |
Output is correct |
| 72 |
Correct |
323 ms |
15572 KB |
Output is correct |
| 73 |
Correct |
324 ms |
15532 KB |
Output is correct |
| 74 |
Correct |
25 ms |
2508 KB |
Output is correct |
| 75 |
Correct |
23 ms |
2516 KB |
Output is correct |
| 76 |
Correct |
25 ms |
2544 KB |
Output is correct |
| 77 |
Correct |
25 ms |
2516 KB |
Output is correct |
| 78 |
Correct |
25 ms |
2660 KB |
Output is correct |
