BZOJ 2006: [NOI2010]超级钢琴 [ST表+堆 | 主席树]

题意：

一个序列，求k个不相同的长度属于\([L,R]\)的区间使得和最大

前缀和，对于每个r找最小的a[l]

然后我yy了一个可持久化线段树做法...也许会T

实际上主席树就可以了，区间k小值

然后看hzwer题解发现还有更有趣的做法，差一点就想到了

\((l,r,x)\)表示左端点在\([l,r]\),右端点为\(x\)的最大和

用优先队列维护

取出\((l,r,x)\)后，区间被分成两段，再加入就行了

MD我连ST表都写错

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <queue>
using namespace std;
const int N=5e5+5, INF=1e9;
#define pii pair<int, int>
#define MP make_pair
#define fir first
#define sec second
typedef long long ll;
inline int read(){
char c=getchar();int x=0,f=1;
while(c<'0'||c>'9'){if(c=='-')f=-1;c=getchar();}
while(c>='0'&&c<='9'){x=x*10+c-'0';c=getchar();}
return x*f;
}

int n, k, L, R, a
, Log
;
struct meow{
int x, l, r; pii v;
bool operator <(const meow &a) const {return v < a.v;}
meow(){}
meow(int a, int b, int c, pii d):x(a), l(b), r(c), v(d){}
};
priority_queue<meow> q;
pii f
[21], t;
void ini() {
for(int i=0; i<=n; i++) f[i][0] = MP(a[i], i);
for(int i=n; i>=0; i--)
for(int j=1; i + (1<<j) -1 <=n; j++)
f[i][j] = min(f[i][j-1], f[i+(1<<(j-1))][j-1]);// printf("f %d %d %d\n",i,j,f[i][j].fir);
}
inline pii Min(int x, int y) {
int t = Log[y-x+1]; //printf("\nMin %d %d  %d\n",x,y, t);
return min(f[x][t], f[y - (1<<t) + 1][t]);
}
int main() {
freopen("in","r",stdin);
n=read(); k=read(); L=read(); R=read();
Log[1] = 0;
for(int i=2; i<=n; i++) Log[i] = Log[i>>1] + 1;
for(int i=1; i<=n; i++) a[i] = read()+a[i-1];
ini();
for(int i=L; i<=n; i++) {
int l = max(0, i-R), r = i-L;
t=Min(l, r);
q.push(meow(i, l, r, MP(a[i] - t.fir, t.sec) ));
}

ll ans=0;
while(k--) {
meow now = q.top(); q.pop();
ans += now.v.fir;
int x = now.x, l = now.l, r = now.r, p = now.v.sec;
if(l < p) t=Min(l, p-1), q.push(meow(x, l, p-1, MP(a[x] - t.fir, t.sec) ));
if(p < r) t=Min(p+1, r), q.push(meow(x, p+1, r, MP(a[x] - t.fir, t.sec) ));
}
printf("%lld", ans);
}