题面
ans = 两子树ans + min(左子在前逆序对数, 右子在前逆序对数)
线段树合并
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <cmath>
#include <cstring>
#define Sqr(x) ((x)*(x))
using namespace std;
const int N = 2e5 + 5;
const int M = 4e6 + 5;
long long cnt1, cnt2;
struct Seg{
int w[M], sz, ls[M], rs[M];
void ins(int l, int r, int x, int &rt){
if(!rt) rt = ++sz;
if(l == r) {w[rt] = 1; return ;}
int mid = l + ((r - l) >> 1);
if(x <= mid) ins(l, mid, x, ls[rt]);
else ins(mid + 1, r, x, rs[rt]);
w[rt] = w[ls[rt]] + w[rs[rt]];
}
int merge(int x, int y){
if(!x || !y) return x + y;
cnt1 += 1ll * w[ls[x]] * w[rs[y]];
cnt2 += 1ll * w[rs[x]] * w[ls[y]];
ls[x] = merge(ls[x], ls[y]);
rs[x] = merge(rs[x], rs[y]);
w[x] = w[ls[x]] + w[rs[x]];
return x;
}
}seg;
int n, m, sz, rt[N << 2], l[N << 2], r[N << 2], w[N << 2];
void init(int &cur){
cur = ++sz;
scanf("%d", &w[cur]);
if(!w[cur]) {init(l[cur]); init(r[cur]);}
else seg.ins(1, n, w[cur], rt[cur]);
}
long long solve(int cur){
if(w[cur]) return 0;//如果不在叶子节点停下 叶子就会被合并成空树
long long res = solve(l[cur]) + solve(r[cur]);
//printf("%d %lld %d %d
", cur, res, l[cur], r[cur]);
cnt1 = cnt2 = 0;
rt[cur] = seg.merge(rt[l[cur]], rt[r[cur]]);
//printf("%lld %lld
", cnt1, cnt2);
return res + min(cnt1, cnt2);
}
int main() {
scanf("%d", &n);
init(m);
printf("%lld
", solve(m));
//system("PAUSE");
return 0;
}
/*
检查所有的int函数是否有返回值
*/