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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#748758 | #9631. Median Replacement | hewanying | WA | 0ms | 3860kb | C++14 | 1.9kb | 2024-11-14 21:20:47 | 2024-11-14 21:20:47 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
const int N=155,H=1e9+7;
int n,l[N],r[N],tot=1,f[N][3],a[N<<2],len,ans,fac[N],ifac[N];
int adc(int a,int b){return a+b>=H?a+b-H:a+b;}
int dec(int a,int b){return a<b?a-b+H:a-b;}
int mul(int a,int b){return 1ll*a*b%H;}
void add(int &a,int b){a=adc(a,b);}
void del(int &a,int b){a=dec(a,b);}
int qpow(int a,int b=H-2){
int res=1;
while(b){if(b&1) res=mul(res,a);a=mul(a,a),b>>=1;}
return res;
}
void init(){
fac[0]=1;
for(int i=1;i<N;i++) fac[i]=mul(fac[i-1],i);
ifac[N-1]=qpow(fac[N-1]);
for(int i=N-1;i>=1;i--) ifac[i-1]=mul(ifac[i],i);
}
int Len(int l,int r){return max(0,r-l+1);}
int F(int x){
f[0][0]=1;
for(int i=1;i<=n;i++){
f[i][0]=mul(Len(l[i],min(r[i],x-1)),adc(f[i-1][0],f[i-1][2]));
f[i][1]=mul(Len(max(l[i],x),r[i]),f[i-1][0]);
f[i][2]=mul(Len(l[i],min(r[i],x-1)),f[i-1][1]);
}
int res=tot;
for(auto i:{0,1,2}) del(res,f[n][i]);
return res;
}
int sgn(int x){return x&1?H-1:1;}
int Lag(vector<int> &X,vector<int> &Y,int pos){
int res=0,m=(int)X.size(),s=1;
for(int i=0;i<m;i++) s=mul(s,pos-X[i]);
for(int i=0;i<m;i++) add(res,mul(mul(s,qpow(pos-X[i])),mul(mul(sgn(i),Y[i]),mul(ifac[i],fac[m-i-1]))));
return res;
}
void SOLVE(){
cin>>n,tot=1,len=ans=0;
for(int i=1;i<=n;i++) cin>>l[i],a[++len]=l[i]-1;
for(int i=1;i<=n;i++) cin>>r[i],tot=mul(tot,Len(l[i],r[i])),a[++len]=r[i];
sort(a+1,a+len+1),len=unique(a+1,a+len+1)-a-1;
for(int i=1;i<len;i++){
int L=a[i]+1,R=a[i+1];
if(Len(L,R)<=n+2) for(int x=L;x<=R;x++) add(ans,F(x));
else{
vector<int> X(0),Y(0);
for(int x=L,s=0;x<=L+n+1;x++) add(s,F(x)),X.pb(x),Y.pb(s);
add(ans,Lag(X,Y,R));
}
}
cout<<adc(ans,mul(a[1],tot))<<'\n';
}
int main(){
ios::sync_with_stdio(false);cin.tie(0);cout.tie(0);
int _;cin>>_,init();
while(_--) SOLVE();
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3860kb
input:
10 5 5 1 4 3 2 14 2 5 3 2 5 4 5 1 2 3 13 7 1 2 3 5 5 2 5 3 1 10 2 12 3 2 5 5 5 3 1 5 57 5 3 1 5 5 2 2 3 3 5 4 5 4 4 5 5 4 5 3 5 3 13 7 3 5 3 5 5 1 4 2 3 14 3 4 2 3 5 1 2 5 4 5 2 8 5 7 5 5 1 1 3 5 1 8 2 3 8 1 5 4 4 4 2 3 5 10 5 2 3
output:
180 170 650 265 182 173 120 296 192 131
result:
ok 10 lines
Test #2:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
10 5 1 2 2 5 3 6 4 2 6 3 5 4 4 1 4 3 6 7 2 5 3 5 5 3 4 2 4 5 7 5 2 6 5 1 5 3 5 2 7 7 3 5 2 5 1 3 3 2 2 10 5 3 2 2 5 4 4 4 5 3 4 11 9 5 3 5 5 3 2 1 3 13 5 2 1 5 5 5 4 1 2 5 10 6 1 2 5 5 3 5 3 4 2 5 9 3 5 2 5 1 1 3 2 1 7 3 3 3 1
output:
120 230 144 110 110 289 324 89 140 122
result:
ok 10 lines
Test #3:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
10 5 3 1 3 4 4 9 1 3 10 4 5 1 1 3 1 1 9 1 3 3 1 5 5 1 2 3 1 74 1 2 3 1 5 2 5 5 3 4 5 6 8 3 4 5 2 1 3 4 5 2 4 6 4 5 5 2 4 2 1 3 2 11 3 2 3 5 1 5 4 4 2 1 14 6 6 2 5 4 1 3 5 1 9 2 4 5 1 5 4 1 2 4 4 6 1 6 4 4 5 3 2 5 3 5 8 8 5 3 5
output:
196 76 140 172 72 80 486 84 65 224
result:
ok 10 lines
Test #4:
score: -100
Wrong Answer
time: 0ms
memory: 3640kb
input:
10 5 676437428 903889545 700650370 965758082 146716866 676437431 903889567 700650370 965758082 146716866 5 517457740 64600397 388618400 783268973 388618400 517457797 64600397 388618400 783268973 388618400 5 971452763 106948541 259878781 537741075 9504353 971452780 106948544 259878781 537741075 95043...
output:
648379280 156786879 916110074 293916250 621204539 554322862 539012259 749878071 733694396 855638212
result:
wrong answer 1st lines differ - expected: '157838571', found: '648379280'