Yandex.Algorithm 2011 Round 2 D. Powerful array 莫队
An array of positive integers?a1,?a2,?...,?an?is given. Let us consider its arbitrary subarray?al,?al?+?1...,?ar, where?1?≤?l?≤?r?≤?n. For every positive integer?s?denote by?Ks?the number of occurrences of?s?into the subarray. We call the?power?of the subarray the sum of products?Ks·Ks·s?for every positive integer?s. The sum contains only finite number of nonzero summands as the number of different values in the array is indeed finite.
You should calculate the power of?t?given subarrays.
InputFirst line contains two integers?n?and?t?(1?≤?n,?t?≤?200000) — the array length and the number of queries correspondingly.
Second line contains?n?positive integers?ai?(1?≤?ai?≤?106) — the elements of the array.
Next?t?lines contain two positive integers?l,?r?(1?≤?l?≤?r?≤?n) each — the indices of the left and the right ends of the corresponding subarray.
OutputOutput?t?lines, the?i-th line of the output should contain single positive integer — the power of the?i-th query subarray.
Please, do not use?%lld?specificator to read or write 64-bit integers in C++. It is preferred to use?cout?stream (also you may use?%I64d).
Examples input 3 21 2 1
1 2
1 3 output 3
6 input 8 3
1 1 2 2 1 3 1 1
2 7
1 6
2 7 output 20
20
20 Note
Consider the following array (see the second sample) and its [2, 7] subarray (elements of the subarray are colored):
Then?K1?=?3,?K2?=?2,?K3?=?1, so the power is equal to?32·1?+?22·2?+?12·3?=?20.?莫隊板子題;
#pragma comment(linker, "/STACK:1024000000,1024000000") #include<iostream> #include<cstdio> #include<cmath> #include<string> #include<queue> #include<algorithm> #include<stack> #include<cstring> #include<vector> #include<list> #include<set> #include<map> using namespace std; #define ll long long #define pi (4*atan(1.0)) #define eps 1e-14 #define bug(x) cout<<"bug"<<x<<endl; const int N=2e5+10,M=1e6+10,inf=2147483647; const ll INF=1e18+10,mod=1e9+7; /// 數組大小 int pos[N],k,a[N],ji[M]; struct is {int l,r,p;bool operator <(const is &b)const{if(pos[l]==pos[b.l])return r<b.r;return pos[l]<pos[b.l];} }s[N]; ll ans; void add(int x) {ans-=1LL*ji[a[x]]*ji[a[x]]*a[x];ji[a[x]]++;ans+=1LL*ji[a[x]]*ji[a[x]]*a[x]; } void del(int x) {ans-=1LL*ji[a[x]]*ji[a[x]]*a[x];ji[a[x]]--;ans+=1LL*ji[a[x]]*ji[a[x]]*a[x]; } ll out[N]; int main() {int n,q;scanf("%d%d",&n,&q);k=sqrt(n);for(int i=1;i<=n;i++)scanf("%d",&a[i]),pos[i]=(i-1)/k+1;for(int i=1;i<=q;i++)scanf("%d%d",&s[i].l,&s[i].r),s[i].p=i;sort(s+1,s+1+q);int L=1,R=0;for(int i=1;i<=q;i++){while(L<s[i].l){del(L);L++;}while(L>s[i].l){L--;add(L);}while(R>s[i].r){del(R);R--;}while(R<s[i].r){R++;add(R);}out[s[i].p]=ans;}for(int i=1;i<=q;i++)printf("%lld\n",out[i]);return 0; }?
轉載于:https://www.cnblogs.com/jhz033/p/6662190.html
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