题目链接:http://codeforces.com/contest/459/problem/D

题意: 数列A, ai表示 i-th 的值, f(i,j, x) 表示【i,j】之间x的数目, 问:当 1 <= i < j <= n, 满足 f(1, i, ai) < f(j,n, aj)的对数。

题解:分别求出两组数列  Ii = f(1, i, ai)(1<=i <= n) Jj =  f(j,n, aj)(1 <= j <= n), 然后, 从n开始, 在数列   Ij(i < j <= n)中求出   小于 Ii的个数和。

 /***Good Luck***/
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <string>
#include <algorithm>
#include <stack>
#include <map>
#include <queue>
#include <vector>
#include <set>
#include <functional>
#include <cmath> #define Zero(a) memset(a, 0, sizeof(a))
#define Neg(a) memset(a, -1, sizeof(a))
#define All(a) a.begin(), a.end()
#define PB push_back
#define inf 0x3f3f3f3f
#define inf2 0x7fffffffffffffff
#define ll long long
using namespace std;
//#pragma comment(linker, "/STACK:102400000,102400000")
void get_val(int &a) {
int value = , s = ;
char c;
while ((c = getchar()) == ' ' || c == '\n');
if (c == '-') s = -s; else value = c - ;
while ((c = getchar()) >= '' && c <= '')
value = value * + c - ;
a = s * value;
}
const int maxn = ;
int arri[maxn], arrj[maxn];
int arr2[maxn];
int arr1[maxn];
int A[maxn];
int n;
int lowbit(int x) {
return x & (-x);
} int sum(int i) {
int ret = ;
while (i > ) {
ret += A[i];
i -= lowbit(i);
}
return ret;
} void update(int pos, int val) {
while (pos <= n) {
A[pos] += val;
pos += lowbit(pos);
}
} int main() {
//freopen("data.out", "w", stdout);
//freopen("data.in", "r", stdin);
//cin.sync_with_stdio(false); scanf("%d", &n);
for (int i = ; i <= n; ++i) {
scanf("%d", arr1 + i);
arr2[i] = arr1[i];
} sort(arr2, arr2 + n + ); // 离散化
int len = unique(arr2, arr2 + n) - arr2;
for (int i = ; i <= n; ++i) {
arr1[i] = lower_bound(arr2, arr2 + len, arr1[i]) - arr2;
}
Zero(arr2);
for (int i = ; i <= n; ++i) {
arri[i] = ++arr2[arr1[i]]; }
Zero(arr2);
for (int i = n ; i > ; --i) {
arrj[i] = ++arr2[arr1[i]];
}
ll count = ;
for (int i = n; i >= ; --i) { count += sum(arri[i] - ) ;
update(arrj[i], );
}
cout << count << endl;
return ;
}

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