| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 246028 |
2020-07-08T03:46:37 Z |
wwdd |
Boat (APIO16_boat) |
C++14 |
|
614 ms |
12664 KB |
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MN = 510;
const ll M = 1e9+7;
ll dp[2][MN*2][MN];
ll cof[MN*2][MN];
ll nv[MN],sz[2*MN];
inline ll mul(ll a, ll b) {return (a*b)%M;}
ll bp(ll b, ll p) {
ll ac = 1;
while(p) {
if(p&1) {ac = mul(ac,b);}
b = mul(b,b);
p >>= 1;
}
return ac;
}
ll inv(ll v) {return bp(v,M-2);}
void pre(int pct, int n) {
for(int i=1;i<=n+1;i++) {
nv[i] = inv(i);
}
for(int i=0;i<pct-1;i++) {
cof[i][0] = sz[i];
}
for(int i=1;i<=n;i++) {
for(int j=0;j<pct-1;j++) {
cof[j][i] = mul(cof[j][i-1],mul(sz[j]-i,nv[i+1]));
}
}
}
ll st[MN],ed[MN];
int main() {
ll n;
cin >> n;
map<ll,ll> bo;
for(int i=0;i<n;i++) {
cin >> st[i] >> ed[i];
bo[st[i]] = -1;
bo[ed[i]+1] = -1;
}
int pct = 0;
ll ls = -1;
for(auto& it: bo) {
it.second = pct;
if(pct > 0) {
sz[pct-1] = it.first-ls;
}
ls = it.first;
pct++;
}
for(int i=0;i<n;i++) {
st[i] = bo[st[i]];
ed[i] = bo[ed[i]+1];
}
pre(pct, n);
int cu = 0;
memset(dp,0,sizeof(dp));
for(int i=0;i<n;i++) {
int nu = 1-cu;
for(int j=0;j<pct-1;j++) {
for(int k=0;k<=i;k++) {
dp[nu][j][k] = dp[cu][j][k];
}
}
ll rs = 1;
for(int j=0;j<st[i];j++) {
for(int k=0;k<=i;k++) {
rs += mul(dp[cu][j][k],cof[j][k]);
if(rs >= M) {rs -= M;}
}
}
for(int j=st[i];j<ed[i];j++) {
dp[nu][j][0] += rs;
if(dp[nu][j][0] >= M) {dp[nu][j][0] -= M;}
for(int k=0;k<=i;k++) {
dp[nu][j][k+1] += dp[cu][j][k];
if(dp[nu][j][k+1] >= M) {
dp[nu][j][k+1] -= M;
}
rs += mul(dp[cu][j][k],cof[j][k]);
if(rs >= M) {rs -= M;}
}
}
cu = nu;
}
ll res = 0;
for(int i=0;i<pct-1;i++) {
for(int j=0;j<=n;j++) {
res += mul(dp[cu][i][j],cof[i][j]);
}
}
res %= M;
cout << res << '\n';
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
385 ms |
12544 KB |
Output is correct |
| 2 |
Correct |
446 ms |
12664 KB |
Output is correct |
| 3 |
Correct |
432 ms |
12664 KB |
Output is correct |
| 4 |
Correct |
614 ms |
12544 KB |
Output is correct |
| 5 |
Correct |
425 ms |
12664 KB |
Output is correct |
| 6 |
Correct |
474 ms |
12544 KB |
Output is correct |
| 7 |
Correct |
494 ms |
12588 KB |
Output is correct |
| 8 |
Correct |
457 ms |
12544 KB |
Output is correct |
| 9 |
Correct |
443 ms |
12544 KB |
Output is correct |
| 10 |
Correct |
441 ms |
12664 KB |
Output is correct |
| 11 |
Correct |
469 ms |
12544 KB |
Output is correct |
| 12 |
Correct |
436 ms |
12664 KB |
Output is correct |
| 13 |
Correct |
444 ms |
12664 KB |
Output is correct |
| 14 |
Correct |
474 ms |
12664 KB |
Output is correct |
| 15 |
Correct |
442 ms |
12664 KB |
Output is correct |
| 16 |
Correct |
53 ms |
9216 KB |
Output is correct |
| 17 |
Correct |
55 ms |
9344 KB |
Output is correct |
| 18 |
Correct |
54 ms |
9216 KB |
Output is correct |
| 19 |
Correct |
55 ms |
9216 KB |
Output is correct |
| 20 |
Correct |
87 ms |
9216 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
385 ms |
12544 KB |
Output is correct |
| 2 |
Correct |
446 ms |
12664 KB |
Output is correct |
| 3 |
Correct |
432 ms |
12664 KB |
Output is correct |
| 4 |
Correct |
614 ms |
12544 KB |
Output is correct |
| 5 |
Correct |
425 ms |
12664 KB |
Output is correct |
| 6 |
Correct |
474 ms |
12544 KB |
Output is correct |
| 7 |
Correct |
494 ms |
12588 KB |
Output is correct |
| 8 |
Correct |
457 ms |
12544 KB |
Output is correct |
| 9 |
Correct |
443 ms |
12544 KB |
Output is correct |
| 10 |
Correct |
441 ms |
12664 KB |
Output is correct |
| 11 |
Correct |
469 ms |
12544 KB |
Output is correct |
| 12 |
Correct |
436 ms |
12664 KB |
Output is correct |
| 13 |
Correct |
444 ms |
12664 KB |
Output is correct |
| 14 |
Correct |
474 ms |
12664 KB |
Output is correct |
| 15 |
Correct |
442 ms |
12664 KB |
Output is correct |
| 16 |
Correct |
53 ms |
9216 KB |
Output is correct |
| 17 |
Correct |
55 ms |
9344 KB |
Output is correct |
| 18 |
Correct |
54 ms |
9216 KB |
Output is correct |
| 19 |
Correct |
55 ms |
9216 KB |
Output is correct |
| 20 |
Correct |
87 ms |
9216 KB |
Output is correct |
| 21 |
Correct |
503 ms |
12280 KB |
Output is correct |
| 22 |
Correct |
444 ms |
12280 KB |
Output is correct |
| 23 |
Correct |
432 ms |
12280 KB |
Output is correct |
| 24 |
Correct |
437 ms |
12280 KB |
Output is correct |
| 25 |
Correct |
433 ms |
12160 KB |
Output is correct |
| 26 |
Correct |
491 ms |
12032 KB |
Output is correct |
| 27 |
Correct |
485 ms |
12160 KB |
Output is correct |
| 28 |
Correct |
474 ms |
12032 KB |
Output is correct |
| 29 |
Correct |
495 ms |
12152 KB |
Output is correct |
| 30 |
Correct |
445 ms |
12544 KB |
Output is correct |
| 31 |
Correct |
452 ms |
12536 KB |
Output is correct |
| 32 |
Correct |
492 ms |
12664 KB |
Output is correct |
| 33 |
Correct |
466 ms |
12664 KB |
Output is correct |
| 34 |
Correct |
445 ms |
12664 KB |
Output is correct |
| 35 |
Correct |
393 ms |
12664 KB |
Output is correct |
| 36 |
Correct |
440 ms |
12664 KB |
Output is correct |
| 37 |
Correct |
435 ms |
12664 KB |
Output is correct |
| 38 |
Correct |
402 ms |
12544 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 2 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 3 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 4 |
Correct |
19 ms |
9344 KB |
Output is correct |
| 5 |
Correct |
19 ms |
9344 KB |
Output is correct |
| 6 |
Correct |
14 ms |
9344 KB |
Output is correct |
| 7 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 8 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 9 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 10 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 11 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 12 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 13 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 14 |
Correct |
15 ms |
9344 KB |
Output is correct |
| 15 |
Correct |
13 ms |
9264 KB |
Output is correct |
| 16 |
Correct |
11 ms |
8960 KB |
Output is correct |
| 17 |
Correct |
11 ms |
8960 KB |
Output is correct |
| 18 |
Correct |
11 ms |
8960 KB |
Output is correct |
| 19 |
Correct |
11 ms |
8960 KB |
Output is correct |
| 20 |
Correct |
11 ms |
8960 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
385 ms |
12544 KB |
Output is correct |
| 2 |
Correct |
446 ms |
12664 KB |
Output is correct |
| 3 |
Correct |
432 ms |
12664 KB |
Output is correct |
| 4 |
Correct |
614 ms |
12544 KB |
Output is correct |
| 5 |
Correct |
425 ms |
12664 KB |
Output is correct |
| 6 |
Correct |
474 ms |
12544 KB |
Output is correct |
| 7 |
Correct |
494 ms |
12588 KB |
Output is correct |
| 8 |
Correct |
457 ms |
12544 KB |
Output is correct |
| 9 |
Correct |
443 ms |
12544 KB |
Output is correct |
| 10 |
Correct |
441 ms |
12664 KB |
Output is correct |
| 11 |
Correct |
469 ms |
12544 KB |
Output is correct |
| 12 |
Correct |
436 ms |
12664 KB |
Output is correct |
| 13 |
Correct |
444 ms |
12664 KB |
Output is correct |
| 14 |
Correct |
474 ms |
12664 KB |
Output is correct |
| 15 |
Correct |
442 ms |
12664 KB |
Output is correct |
| 16 |
Correct |
53 ms |
9216 KB |
Output is correct |
| 17 |
Correct |
55 ms |
9344 KB |
Output is correct |
| 18 |
Correct |
54 ms |
9216 KB |
Output is correct |
| 19 |
Correct |
55 ms |
9216 KB |
Output is correct |
| 20 |
Correct |
87 ms |
9216 KB |
Output is correct |
| 21 |
Correct |
503 ms |
12280 KB |
Output is correct |
| 22 |
Correct |
444 ms |
12280 KB |
Output is correct |
| 23 |
Correct |
432 ms |
12280 KB |
Output is correct |
| 24 |
Correct |
437 ms |
12280 KB |
Output is correct |
| 25 |
Correct |
433 ms |
12160 KB |
Output is correct |
| 26 |
Correct |
491 ms |
12032 KB |
Output is correct |
| 27 |
Correct |
485 ms |
12160 KB |
Output is correct |
| 28 |
Correct |
474 ms |
12032 KB |
Output is correct |
| 29 |
Correct |
495 ms |
12152 KB |
Output is correct |
| 30 |
Correct |
445 ms |
12544 KB |
Output is correct |
| 31 |
Correct |
452 ms |
12536 KB |
Output is correct |
| 32 |
Correct |
492 ms |
12664 KB |
Output is correct |
| 33 |
Correct |
466 ms |
12664 KB |
Output is correct |
| 34 |
Correct |
445 ms |
12664 KB |
Output is correct |
| 35 |
Correct |
393 ms |
12664 KB |
Output is correct |
| 36 |
Correct |
440 ms |
12664 KB |
Output is correct |
| 37 |
Correct |
435 ms |
12664 KB |
Output is correct |
| 38 |
Correct |
402 ms |
12544 KB |
Output is correct |
| 39 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 40 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 41 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 42 |
Correct |
19 ms |
9344 KB |
Output is correct |
| 43 |
Correct |
19 ms |
9344 KB |
Output is correct |
| 44 |
Correct |
14 ms |
9344 KB |
Output is correct |
| 45 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 46 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 47 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 48 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 49 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 50 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 51 |
Correct |
13 ms |
9344 KB |
Output is correct |
| 52 |
Correct |
15 ms |
9344 KB |
Output is correct |
| 53 |
Correct |
13 ms |
9264 KB |
Output is correct |
| 54 |
Correct |
11 ms |
8960 KB |
Output is correct |
| 55 |
Correct |
11 ms |
8960 KB |
Output is correct |
| 56 |
Correct |
11 ms |
8960 KB |
Output is correct |
| 57 |
Correct |
11 ms |
8960 KB |
Output is correct |
| 58 |
Correct |
11 ms |
8960 KB |
Output is correct |
| 59 |
Correct |
530 ms |
12544 KB |
Output is correct |
| 60 |
Correct |
510 ms |
12664 KB |
Output is correct |
| 61 |
Correct |
497 ms |
12664 KB |
Output is correct |
| 62 |
Correct |
487 ms |
12544 KB |
Output is correct |
| 63 |
Correct |
508 ms |
12544 KB |
Output is correct |
| 64 |
Correct |
595 ms |
12664 KB |
Output is correct |
| 65 |
Correct |
585 ms |
12664 KB |
Output is correct |
| 66 |
Correct |
579 ms |
12592 KB |
Output is correct |
| 67 |
Correct |
605 ms |
12592 KB |
Output is correct |
| 68 |
Correct |
558 ms |
12664 KB |
Output is correct |
| 69 |
Correct |
512 ms |
12664 KB |
Output is correct |
| 70 |
Correct |
537 ms |
12544 KB |
Output is correct |
| 71 |
Correct |
487 ms |
12664 KB |
Output is correct |
| 72 |
Correct |
506 ms |
12664 KB |
Output is correct |
| 73 |
Correct |
507 ms |
12544 KB |
Output is correct |
| 74 |
Correct |
81 ms |
9216 KB |
Output is correct |
| 75 |
Correct |
79 ms |
9216 KB |
Output is correct |
| 76 |
Correct |
79 ms |
9216 KB |
Output is correct |
| 77 |
Correct |
80 ms |
9216 KB |
Output is correct |
| 78 |
Correct |
83 ms |
9216 KB |
Output is correct |
