Submission #1173786

#TimeUsernameProblemLanguageResultExecution timeMemory
1173786ezzzayCryptography (NOI20_crypto)C++20
100 / 100
376 ms26288 KiB
#include<bits/stdc++.h>
using namespace std;
#define ff first
#define ss second
#define pb push_back
#define int long long
const int N=4e5;
int a[N];
int fct[N];
int bit[N];
const int mod=1e9+7;
void update(int idx, int val){
    while(idx<N){
        bit[idx]+=val;
        idx+= idx & -idx;
    }
}
int find(int idx){
    int s=0;
    while(idx>0){
        s+=bit[idx];
        idx-= -idx &idx;
    }
    return s;
}
signed main(){
    int n;
    cin>>n;
    map<int,int>mp;
    for(int i=1;i<=n;i++){
        cin>>a[i];
        mp[a[i]];
    }
    fct[0]=1;
    for(int i=1;i<=n;i++)fct[i]=(fct[i-1]*i)%mod;
    int id=1;
    for(auto it=mp.begin();it!=mp.end();it++){
        it->ss = id++;
    }
    for(int i=1;i<=n;i++){
        a[i]=mp[a[i]];
        update(a[i],1);
    }
    int ans=0;
    fct[0]=0;
    for(int i=1;i<=n;i++){
        int x= find(a[i])-1;
        ans+= (fct[n-i]* (x))%mod;;
        ans%=mod;
        update(a[i],-1);
    }
    cout<<(ans+1)%mod;
}
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