74 lines
1.3 KiB
C++
74 lines
1.3 KiB
C++
#include<cstdio>
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#include<cstring>
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#include<cstdlib>
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#include<iostream>
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using namespace std;
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const long long P=112233;
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typedef long long ll;
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int n;
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long long c[P*10],pro,p[20],s[20],a[P*10],inv[P*10];
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void exgcd(ll a,ll b,ll &d,ll &x,ll &y){
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if ( b==0 ){
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d=a; x=1; y=0;
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}
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else{
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exgcd(b,a%b,d,x,y);
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ll t=x; x=y; y=t-(a/b)*y;
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}
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}
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void cnt(){
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long long d,x,y;
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for (int i=1;i<=1000001;i++){
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long long a=i;
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exgcd(a,P,d,x,y);
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inv[a]=x;
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}
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}
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void work(long long a,long long b,int k){
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for (int i=1;i<=4;i++){
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while ( a%p[i]==0 ){
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s[i]++;
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a/=p[i];
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}
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while ( b%p[i]==0 ){
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s[i]--;
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b/=p[i];
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}
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}
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pro=(pro*inv[b]*a)%P;
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c[k]=pro;
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for (int i=1;i<=4;i++)
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for (int j=1;j<=s[i];j++)
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c[k]=c[k]*p[i]%P;
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}
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int main(){
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cnt();
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while ( scanf("%d",&n)!=EOF ){
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for (int i=1;i<=n;i++) scanf("%I64d",&a[i]);
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p[1]=3; p[2]=11; p[3]=19; p[4]=179;
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pro=1;
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memset(s,0,sizeof(s));
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c[0]=1;
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int e=1;
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for (int i=1;i<=n;i++)
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work(n-i+1,i,i);
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a[0]=0;
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for (int i=1;i<=n;i++){
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a[0]=(a[0]+c[i]*a[i]*e)%P;
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e=-e;
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}
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memset(s,0,sizeof(s));
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pro=1;
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e=1;
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for (int i=1;i<=n+1;i++)
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work(n-i+2,i,i);
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long long ans=0;
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for (int i=n;i>=0;i--){
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ans=(ans+c[i]*a[i]*e)%P;
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e=-e;
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}
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ans=(ans+P)%P;
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cout<<ans<<endl;
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}
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}
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