78 lines
1.6 KiB
C++
78 lines
1.6 KiB
C++
#include <iostream>
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#include <cstdio>
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#include <cstdlib>
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#include <cmath>
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#include <algorithm>
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#include <set>
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#include <cstring>
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#include <queue>
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using namespace std;
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typedef long long ll;
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const int MOD = (int)1e9+7;
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const int INF = (int)1e9;
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const int MAXN = 438744;
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int a[MAXN+5];
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int b[MAXN+5];
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int sum[MAXN+5];
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int dp[MAXN+5];
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int pre[MAXN+5];
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int sz,val;
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int add(int x,int y){
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x+=y;
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if(x>=MOD)x-=MOD;
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return x;
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}
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int po(int x,int n){
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int ans=1;
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int temp=x;
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while(n){
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if(n&1)ans=(ll)ans*temp%MOD;
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temp=(ll)temp*temp%MOD;
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n>>=1;
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}
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return ans;
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}
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int main()
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{
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val=po(2,MOD-2);
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a[1]=1;
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a[2]=2;
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a[3]=2;
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int sz=3;
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for(int i=3;;i++){
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int cnt=a[i];
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while(cnt){
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a[++sz]=i;
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cnt--;
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if(sz>=MAXN)break;
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}
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if(sz>=MAXN)break;
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}
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for(int i=1;i<=MAXN;i++){
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sum[i]=sum[i-1]+a[i];
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if(sum[i]>=INF)break;
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}
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for(int i=1;i<=MAXN;i++){
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dp[i]=add(dp[i-1],(ll)( add(add(add(pre[i-1],1),pre[i-1]),a[i]) )*a[i]%MOD*i%MOD*val%MOD);
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pre[i]=add(pre[i-1],a[i]);
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}
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int t;scanf("%d",&t);
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while(t--){
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int n;scanf("%d",&n);
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int l=1,r=MAXN;
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int pos;
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while(l<=r){
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int mid=l+r>>1;
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if(n<=sum[mid]){
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pos=mid;
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r=mid-1;
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}
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else l=mid+1;
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}
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int x=n-sum[pos-1];
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int ans=add(dp[pos-1],(ll)( add(add(add(pre[pos-1],1),pre[pos-1]),x) )*x%MOD*pos%MOD*val%MOD);
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printf("%d\n",ans);
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}
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return 0;
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}
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