牛客练习赛63-C
思路:
大佬们->推推推
蒟蒻的我->打表猜猜猜
打表结果
每一列分别表示i,j,a[i]*[j]出现的次数
之后就很简单啦
维护sum[i]= a[i]*(n-i+1)
枚举第一列的 那么每次乘上的数字就是sum[i-n]*i。
所以
注意负数取余即可
#pragma GCC optimize(3,"Ofast","inline") //G++ #include<bits/stdc++.h> #define mem(a,x) memset(a,x,sizeof(a)) #define debug(x) cout << #x << ": " << x << endl; #define ios ios::sync_with_stdio(false);cin.tie(0);cout.tie(0); #define fcout cout<<setprecision(4)<<fixed using namespace std; typedef long long ll; //====================================== namespace FastIO{ char print_f[105];void read() {}void print() {putchar('\n');} template <typename T, typename... T2> inline void read(T &x, T2 &... oth){x = 0;char ch = getchar();ll f = 1;while (!isdigit(ch)){if (ch == '-')f *= -1;ch = getchar();}while (isdigit(ch)){x = x * 10 + ch - 48;ch = getchar();}x *= f;read(oth...);} template <typename T, typename... T2> inline void print(T x, T2... oth){ll p3=-1;if(x<0) putchar('-'),x=-x;do{print_f[++p3] = x%10 + 48;}while(x/=10);while(p3>=0) putchar(print_f[p3--]);putchar(' ');print(oth...);}} // namespace FastIO using FastIO::print; using FastIO::read; //====================================== typedef pair<ll,ll> pii; const ll inf=0x3f3f3f3f; const ll mod=1e9+7; const ll maxn = 1e6+5; ll a[maxn],sum[maxn]; main() { #ifndef ONLINE_JUDGE // freopen("H:\\code\\in.in", "r", stdin); // freopen("H:\\code\\bf_out.out", "w", stdout); clock_t c1 = clock(); #endif //************************************** ll n; read(n); ll ans=0; for(ll i=1;i<=n;i++) read(a[i]); for(ll i=1;i<=n;i++) sum[i]=(sum[i-1]+(a[i]*(n-i+1))%mod)%mod; for(ll i=1;i<=n;i++){ ll s=((sum[n]-sum[i-1])%mod+mod)%mod; s=s*i%mod; ans=(ans+(a[i]*s)%mod)%mod; } ans=((ans%mod)+mod)%mod; print(ans); //************************************** #ifndef ONLINE_JUDGE cerr << "Time:" << clock() - c1 << "ms" << endl; #endif return 0; }