RT, AC #5 #6。 20 PTS。
代码最下面贴了Data #1
#include <bits/stdc++.h>
#define IOS std::ios::sync_with_stdio(false), std::cin.tie(nullptr), std::cout.tie(nullptr)
#define rep(i, a, b) for (int i = a; i <= b; i++)
#define per(i, a, b) for (int i = a; i >= b; i--)
#define lc(x) x << 1ll
#define rc(x) x << 1ll | 1ll
#define lowbit(x) ((x) & (-x))
#define LEN_LC (tree[lc(i)].r - tree[lc(i)].l + 1)
#define LEN_RC (tree[rc(i)].r - tree[rc(i)].l + 1)
#define LEN (tree[i].r - tree[i].l + 1)
#define int long long
const int N = 5e5 + 7;
const int inf = INT_MAX;
int n, m;
int a[N], b[N];
struct Tree {
int l, r;
int maxa, maxb, sum;
int cnt, semax;
int lazy1;
int lazy2;
int lazy3;
int lazy4;
}tree[N << 2];
void push_up(int i) {
tree[i].sum = tree[lc(i)].sum + tree[rc(i)].sum;
tree[i].maxa = std::max(tree[lc(i)].maxa, tree[rc(i)].maxa);
tree[i].maxb = std::max(tree[lc(i)].maxb, tree[rc(i)].maxb);
if(tree[lc(i)].maxa == tree[rc(i)].maxa) {
tree[i].semax = std::max(tree[lc(i)].semax, tree[rc(i)].semax);
tree[i].cnt = tree[lc(i)].cnt + tree[rc(i)].cnt;
}
else if(tree[lc(i)].maxa > tree[rc(i)].maxa) {
tree[i].semax = std::max(tree[lc(i)].semax, tree[rc(i)].maxa);
tree[i].cnt = tree[lc(i)].cnt;
}
else {
tree[i].semax = std::max(tree[lc(i)].maxa, tree[rc(i)].semax);
tree[i].cnt = tree[rc(i)].cnt;
}
}
void add_tag(int i, int s1, int s2, int s3, int s4) {
tree[i].sum += s1 * tree[i].cnt + s2 * (tree[i].r - tree[i].l + 1 - tree[i].cnt);
tree[i].maxb = std::max(tree[i].maxb, tree[i].maxa + s3);
tree[i].maxa += s1;
if(tree[i].semax != -inf) tree[i].semax += s2;
tree[i].lazy3 = std::max(tree[i].lazy3, tree[i].lazy1 + s3);
tree[i].lazy4 = std::max(tree[i].lazy4, tree[i].lazy2 + s4);
tree[i].lazy1 += s1, tree[i].lazy2 += s2;
}
void push_down(int i) {
int MAX = std::max(tree[lc(i)].maxa, tree[rc(i)].maxa);
if(tree[lc(i)].maxa == MAX) {
add_tag(lc(i), tree[i].lazy1, tree[i].lazy2, tree[i].lazy3, tree[i].lazy4);
} else {
add_tag(lc(i), tree[i].lazy2, tree[i].lazy2, tree[i].lazy4, tree[i].lazy4);
}
if(tree[rc(i)].maxa == MAX) {
add_tag(rc(i), tree[i].lazy1, tree[i].lazy2, tree[i].lazy3, tree[i].lazy4);
} else {
add_tag(rc(i), tree[i].lazy2, tree[i].lazy2, tree[i].lazy4, tree[i].lazy4);
}
tree[i].lazy1 = tree[i].lazy2 = tree[i].lazy3 = tree[i].lazy4 = 0;
}
void build(int i, int L, int R) {
tree[i].l = L, tree[i].r = R;
if(L == R) {
tree[i].sum = tree[i].maxa = tree[i].maxb = a[L];
tree[i].cnt = 1;
tree[i].semax = -inf;
return ;
}
int mid = (L + R) >> 1;
build(lc(i), L, mid);
build(rc(i), mid + 1, R);
push_up(i);
}
void modify1(int i, int L, int R, int k) {
if(L <= tree[i].l && tree[i].r <= R) {
add_tag(i, k, k, k, k);
return ;
}
push_down(i);
if(tree[lc(i)].r >= L) modify1(lc(i), L, R, k);
if(tree[rc(i)].l <= R) modify1(rc(i), L, R, k);
push_up(i);
}
void modify2(int i, int L, int R, int k) {
if(tree[i].l > R || tree[i].r < L || k >= tree[i].maxa) return;
if(L <= tree[i].l && tree[i].r <= R && k > tree[i].semax) {
add_tag(i, k - tree[i].maxa, k - tree[i].maxa, 0, 0);
return ;
}
push_down(i);
if(tree[lc(i)].r >= L) modify2(lc(i), L, R, k);
if(tree[rc(i)].l <= R) modify2(rc(i), L, R, k);
push_up(i);
}
int query1(int i, int L, int R) {
if(L <= tree[i].l && tree[i].r <= R) {
return tree[i].sum;
}
push_down(i);
int res = 0;
if(tree[lc(i)].r >= L) res += query1(lc(i), L, R);
if(tree[rc(i)].l <= R) res += query1(rc(i), L, R);
return res;
}
int query2(int i, int L, int R) {
if(tree[i].l > R || tree[i].r < L) return -inf;
if(L <= tree[i].l && tree[i].r <= R) {
return tree[i].maxa;
}
push_down(i);
int max = -inf;
if(tree[lc(i)].r >= L) max = std::max(max, query2(lc(i), L, R));
if(tree[rc(i)].l <= R) max = std::max(max, query2(rc(i), L, R));
return max;
}
int query3(int i, int L, int R) {
if(tree[i].l > R || tree[i].r < L) return -inf;
if(L <= tree[i].l && tree[i].r <= R) {
return tree[i].maxb;
}
push_down(i);
int max = -inf;
if(tree[lc(i)].r >= L) max = std::max(max, query3(lc(i), L, R));
if(tree[rc(i)].l <= R) max = std::max(max, query3(rc(i), L, R));
return max;
}
void print_seg(){
rep(i, 1, n) {
std::cout << query1(1, i, i) << " " ;
}
std::cout << std::endl;
}
void solve() {
std::cin >> n >> m;
rep(i, 1, n) {
std::cin >> a[i];
}
build(1, 1, n);
while(m--) {
int opt;
std::cin >> opt;
if(opt == 1) {
int l, r, k;
std::cin >> l >> r >> k;
modify1(1, l, r, k);
}
if(opt == 2) {
int l, r, k;
std::cin >> l >> r >> k;
modify2(1, l, r, k);
}
if(opt == 3) {
int l, r;
std::cin >> l >> r;
std::cout << query1(1, l, r) << std::endl;
}
if(opt == 4) {
int l, r;
std::cin >> l >> r;
std::cout << query2(1, l, r) << std::endl;
}
if(opt == 5) {
int l, r;
std::cin >> l >> r;
std::cout << query3(1, l, r) << std::endl;
}
// std::cout << "now options is:" << opt << " seg:"; print_seg();
}
}
signed main() {
IOS;
solve();
return 0;
}
/*
Big Data:
Input:
20 50
-36 42 42 11 -3 -5 -36 9 -17 22 -35 -46 -35 15 28 -5 25 48 -42 -14
5 9 14
1 3 15 -26
4 2 5
1 13 14 8
5 1 19
4 3 11
5 4 16
3 1 20
3 10 20
5 7 18
1 13 15 33
4 6 14
5 7 16
3 2 6
1 3 5 -9
4 14 18
5 1 11
1 3 3 -25
5 5 14
3 6 12
3 5 19
5 2 10
2 2 18 -36
5 14 15
1 7 17 -26
3 10 10
1 5 18 41
4 2 9
5 15 20
1 19 19 37
3 6 13
5 9 11
1 6 15 23
1 1 11 41
2 10 10 -7
5 3 15
5 3 16
1 4 14 46
3 18 20
5 11 16
4 10 19
1 12 12 12
5 6 9
2 2 20 -36
1 6 10 42
2 13 13 9
5 2 8
5 7 15
1 18 19 -42
5 2 13
Ans Output:
22
42
48
16
28
-354
-179
48
30
35
-17
48
42
30
-290
-257
42
35
-62
5
48
-236
22
69
69
-14
64
64
115
115
89
115
Bad Output #1:
22
42
48
16
28
-354
-179
48
30
35
-17
48
42
30
-290
-257
42
35
-62
5
48
-305 <- Bad
22
69
69
-14
48 <- Bad
48 <- Bad
115
115
89
115
*/