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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#786524 | #8717. 骰子 | Kanate | TL | 1ms | 3704kb | C++17 | 1.9kb | 2024-11-26 21:55:16 | 2024-11-26 21:55:22 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int mod = 1e9 + 7 ;
const int N = 1505;
const int M = 205;
int n , m , q;
ll t[N][205];
ll *r[N];
int cnt[N];
ll ans[205];
ll qpow(ll a,ll b){
ll ans = 1;
for(;b;b>>=1,a=a*a%mod) if(b&1) ans = ans * a %mod;
return ans;
}
ll* inv(int n,ll *a){
ll *b;
b = (ll*)malloc(sizeof(ll)*M);
memset(b,0,sizeof(ll)*M);
ll inv = qpow(a[0],mod-2);
b[0] = inv;
for(int i=1;i<=n;i++){
for(int j=1;j<=i;j++)
b[i] = (b[i] - a[j]*b[i-j] + mod) % mod;
b[i] = b[i] * inv % mod;
}
return b;
}
ll tmp[M],sum[N];
void mul(ll *a,ll *b){
memset(tmp,0,sizeof tmp);
for(int i=0;i<=200;i++)
for(int j=0;j<=200-i;j++)
tmp[i+j] = (tmp[i+j] + a[i] * b[j] %mod) % mod;
for(int i=0;i<=200;i++) a[i] = tmp[i];
}
/*
3 3 3
4 3 2 1
0 1 0 1000000007
0 500000004 0 500000004
0 0 500000004 500000004
1 1
1 2
1 3
*/
int main(){
ios::sync_with_stdio(false);
cin.tie(0);cout.tie(0);
cin >> n >> m >> q;
t[0][0] = 1;
for(int i=0;i<=m;i++) cin >> sum[i];
for(int i=1;i<=n;i++){
for(int j=0;j<=m;j++) cin >> t[i][j];
while(cnt[i]<=m){
if((t[i][cnt[i]]%=mod)!=0) break;
cnt[i]++;
}
for(int j=0;j<=m-cnt[i];j++)
t[i][j] = t[i][j+cnt[i]];
for(int j=m-cnt[i]+1;j<=m;j++)
t[i][j] = 0 ;
if(cnt[i] == m+1) t[i][0] = 1;
if(i!=1)mul(t[i],t[i-1]);
r[i] = inv(200,t[i]);
cnt[i] += cnt[i-1];
}
while(q-->0){
int L,R ;
cin >> L >> R;
for(int i=0;i<=m;i++) ans[i] = t[R][i];
int k = cnt[R] - cnt[L-1];
if(L!=1) mul(ans,r[L-1]);
ll ANS = 0 ;
for(int i=k;i<=m;i++)
ANS =(ANS + ans[i-k] * sum[i] %mod) %mod;
cout << ANS << endl;
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 1ms
memory: 3704kb
input:
3 3 3 4 3 2 1 0 1 0 1000000007 0 500000004 0 500000004 0 0 500000004 500000004 1 1 1 2 1 3
output:
3 1 0
result:
ok 3 number(s): "3 1 0"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3612kb
input:
3 3 6 4 3 2 1 1000000007 0 1 0 1000000007 1 0 0 1000000007 0 1 0 1 1 1 2 1 3 2 2 2 3 3 3
output:
2 1 0 3 1 2
result:
ok 6 numbers
Test #3:
score: 0
Accepted
time: 1ms
memory: 3552kb
input:
1 1 1 604063100 57375033 742299910 257700098 1 1
output:
148903503
result:
ok 1 number(s): "148903503"
Test #4:
score: -100
Time Limit Exceeded
input:
1500 200 600000 253665324 876103781 804024983 929290295 908790466 176299158 528078340 696679927 416465140 509641654 705083449 361711737 250659645 735832780 35321360 383752049 203979021 178832532 785212637 514502839 169840231 65809146 504755349 516829442 382478309 901925498 142312128 782336477 741339...
output:
66394849 -141956992 -709911495 -566149272 16359498 544692508 495705795 -609141302 -665059892 441003348 589429674 -108749552 -852944969 -50729233 782296292 854444995 608076278 -227008940 609961969 3444634 -465602244 659524291 -615184586 -670036796 -740734196 214554716 662015873 -534383032 355211926 -...