http://codeforces.com/contest/362

题目大意:给你一个序列,用冒泡排序法让他变为非递减的序列最少需要几次。在冒泡交换之间,你有一个swap操作,该swap操作是交换任意两个数组元素的位置,问在该操作后,所再需要的冒泡交换次数是多少,并输出方案数

思路:树状数组维护一下区间序列,知道该区间内比他大的有几个就行了。然后暴力。

//看看会不会爆int!数组会不会少了一维!
//取物问题一定要小心先手胜利的条件
#include <bits/stdc++.h>
using namespace std;
#define LL long long
#define ALL(a) a.begin(), a.end()
#define pb push_back
#define mk make_pair
#define fi first
#define se second
const int maxn = + ;
int tree[maxn], a[maxn];
int big[maxn][maxn], big2[maxn][maxn];
int n;
int lowbit(int x) {return x & -x;} int sum(int x){
int ans = ;
for (int i = x; i > ; i -= lowbit(i)){
ans += tree[i];
}
return ans;
} void add(int x, int val){
for (int i = x; i <= n; i += lowbit(i)){
tree[i] += val;
}
} int main(){
scanf("%d", &n);
for (int i = ; i <= n; i++) {
int u; scanf("%d", &u); u++;
a[i] = u;
}
int tot = ;
for (int i = n; i >= ; i--){
tot += sum(a[i]);
add(a[i], );
}
///l->r的区间
///区间内比他大的
for (int i = n; i > ; i--){
memset(tree, , sizeof(tree));
for (int j = n; j >= i;j--){///都取不到边界
if (a[j] > a[i]) add(a[j], );
big[i][j] = sum(n) - sum(a[i] - );
}
} ///r->l的区间
///区间内比他大的
for (int i = ; i <= n; i++){
memset(tree, , sizeof(tree));
for (int j = ; j <= i; j++){
if (a[j] > a[i]) add(a[j], );
big2[i][j] = sum(n) - sum(a[i] - );
}
} int mintot = tot;
int cnt = ;
for (int i = ; i <= n; i++){///left
for (int j = i + ; j <= n; j++){///right
if (a[i] < a[j]) continue;
int t1 = * (big[i][i + ] - big[i][j]) - (j - (i + ));
int t2 = j - (i + ) - * (big2[j][j - ] - big2[j][i]);
int tmp = tot + t1 + t2 - ;
if (tmp < mintot) cnt = , mintot = tmp;
else if (tmp == mintot) cnt++;
}
}
printf("%d %d\n", mintot, cnt);
return ;
}
04-27 19:40
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