SPOJ2713GSS4

题意

Sol

讲过无数次了。。很显然，一个$10^12$的数开方不超过$8$次后就会变为$1$

因此直接暴力更改即可，维护一下这段区间是否被全改为了$1$

双倍经验:https://www.luogu.org/problemnew/show/P4145

#include<cstdio>
#include<algorithm>
#include<stack>
#include<queue>
#include<cmath>
#define int long long 
#define Pair pair<int, int> 
#define fi first
#define se second
#define MP(x, y) make_pair(x, y)
using namespace std;
const int MAXN = 1e6 + 10;
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, M;
int a[MAXN];
#define ls k << 1
#define rs k << 1 | 1
struct Node {
    int l, r, w, f;
}T[MAXN];
void update(int k) {
    if(T[ls].f && T[rs].f) T[k].f = 1;
    T[k].w = T[ls].w + T[rs].w;    
}
void Build(int k, int ll, int rr) {
    T[k] = (Node) {ll, rr};
    if(ll == rr) {
        T[k].w = a[ll];
        return ;
    }
    int mid = ll + rr >> 1;
    Build(ls, ll, mid);
    Build(rs, mid + 1, rr);
    update(k);
}
void push(int k) {
    if(T[k].f) return ;
    if(T[k].l == T[k].r) {
        T[k].w = sqrt(T[k].w); 
        if(T[k].w == 1) T[k].f = 1;
        return ;
    }
    push(ls); push(rs);
    update(k);
}
void IntSqrt(int k, int ll, int rr) {
    if(ll <= T[k].l && T[k].r <= rr) {
        if(T[k].f) return ;
        push(k); return ;
    }
    int mid = T[k].l + T[k].r >> 1;
    if(ll <= mid) IntSqrt(ls, ll, rr);
    if(rr >  mid) IntSqrt(rs, ll, rr);
    update(k);
}
int IntSum(int k, int ll, int rr) {
    if(ll <= T[k].l && T[k].r <= rr) return T[k].w;
    int mid = T[k].l + T[k].r >> 1;
    if(ll > mid) return IntSum(rs, ll, rr);
    else if(rr <= mid) return IntSum(ls, ll, rr);
    else return IntSum(ls, ll, rr) + IntSum(rs, ll, rr);
}
main() {
    int tot = 0;
    while(scanf("%d", &N) != EOF) {
        printf("Case #%d:
", ++tot);
        for(int i = 1; i <= N; i++) a[i] = read();
        Build(1, 1, N);
        M = read();
        while(M--) {
            int k = read(), l = read(), r = read();
            if(l > r) swap(l, r);
            if(k == 0) IntSqrt(1, l, r);
            else printf("%lld
", IntSum(1, l, r));
        }
        puts("");
    }

    return 0;
}
/*

*/