#include "horses.h"
#include "bits/stdc++.h"
using namespace std;
const int mod = 1e9 + 7;
using ll = long long;
struct SegTreeY {
vector<int> tree;
int size;
int neutral_element = -1e9;
int merge(int a, int b) {
return max(a, b);
}
void build(const vector<int> &a) {
size = 1;
while (size < a.size()) size *= 2;
tree.assign(2 * size, neutral_element);
for (int i = size; i < size + a.size(); i++) tree[i] = a[i - size];
for (int i = size - 1; i > 0; i--) tree[i] = merge(tree[i << 1], tree[i << 1 | 1]);
}
void upd(int i, int v) {
i += size;
tree[i] = v;
for (; i > 1; i >>= 1) tree[i >> 1] = merge(tree[i], tree[i ^ 1]);
}
int get(int l, int r) {
if (l > r) return neutral_element;
int res = neutral_element;
for (l += size, r += size + 1; l < r; l >>= 1, r >>= 1) {
if (l & 1) res = merge(res, tree[l++]);
if (r & 1) res = merge(res, tree[--r]);
}
return res;
}
};
struct SegTreeX {
vector<int> tree;
int size;
int neutral_element = 1;
int merge(int a, int b) {
return 1ll * a * b % mod;
}
void build(const vector<int> &a) {
size = 1;
while (size < a.size()) size *= 2;
tree.assign(2 * size, neutral_element);
for (int i = size; i < size + a.size(); i++) tree[i] = a[i - size];
for (int i = size - 1; i > 0; i--) tree[i] = merge(tree[i << 1], tree[i << 1 | 1]);
}
void upd(int i, int v) {
i += size;
tree[i] = v;
for (; i > 1; i >>= 1) tree[i >> 1] = merge(tree[i], tree[i ^ 1]);
}
int get(int l, int r) {
if (l > r) return neutral_element;
int res = neutral_element;
for (l += size, r += size + 1; l < r; l >>= 1, r >>= 1) {
if (l & 1) res = merge(res, tree[l++]);
if (r & 1) res = merge(res, tree[--r]);
}
return res;
}
};
int n;
vector<int> x, y;
SegTreeX sgX;
SegTreeY sgY;
set<int, greater<>> st;
int get_ans() {
vector<tuple<int, int, int>> vec;
int last = n;
__int128_t mul = 1;
for (int i: st) {
mul *= x[i];
vec.emplace_back(i, x[i], sgY.get(i, last - 1));
last = i;
if (mul > ll(1e9)) break;
}
if (vec.empty()) {
return sgY.get(0, n - 1);
}
reverse(vec.begin(), vec.end());
__int128_t best = 1;
mul = 1;
for (auto [i, v1, v2]: vec) {
// cout << i << ' ' << v1 << ' ' << v2 << endl;
mul *= v1;
best = max(best, mul * v2);
}
if (best <= ll(1e9) and best * sgX.get(0, get<0>(vec[0]) - 1) < sgY.get(0, n - 1)) {
best = sgY.get(0, n - 1);
} else {
best = best % mod * sgX.get(0, get<0>(vec[0]) - 1) % mod;
}
return best;
}
int init(int N, int X[], int Y[]) {
n = N;
x.resize(n), y.resize(n);
for (int i = 0; i < n; i++) x[i] = X[i], y[i] = Y[i];
sgX.build(x);
sgY.build(y);
for (int i = 0; i < n; i++) {
if (x[i] > 1) st.insert(i);
}
return get_ans();
}
int updateX(int pos, int val) {
if (x[pos] > 1) st.erase(pos);
x[pos] = val;
sgX.upd(pos, val);
if (x[pos] > 1) st.insert(pos);
return get_ans();
}
int updateY(int pos, int val) {
y[pos] = val;
sgY.upd(pos, val);
return get_ans();
}
Compilation message
horses.cpp: In member function 'void SegTreeY::build(const std::vector<int>&)':
horses.cpp:18:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
18 | while (size < a.size()) size *= 2;
| ~~~~~^~~~~~~~~~
horses.cpp:20:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
20 | for (int i = size; i < size + a.size(); i++) tree[i] = a[i - size];
| ~~^~~~~~~~~~~~~~~~~
horses.cpp: In member function 'int SegTreeX::merge(int, int)':
horses.cpp:47:22: warning: conversion from 'long long int' to 'int' may change value [-Wconversion]
47 | return 1ll * a * b % mod;
| ~~~~~~~~~~~~^~~~~
horses.cpp: In member function 'void SegTreeX::build(const std::vector<int>&)':
horses.cpp:52:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
52 | while (size < a.size()) size *= 2;
| ~~~~~^~~~~~~~~~
horses.cpp:54:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
54 | for (int i = size; i < size + a.size(); i++) tree[i] = a[i - size];
| ~~^~~~~~~~~~~~~~~~~
horses.cpp: In function 'int get_ans()':
horses.cpp:107:9: warning: conversion from '__int128' to 'int' may change value [-Wconversion]
107 | return best;
| ^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
440 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
344 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
0 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
420 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
344 KB |
Output is correct |
28 |
Correct |
1 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
440 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
190 ms |
42764 KB |
Output is correct |
2 |
Correct |
200 ms |
47468 KB |
Output is correct |
3 |
Correct |
184 ms |
43100 KB |
Output is correct |
4 |
Correct |
232 ms |
48464 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
344 KB |
Output is correct |
5 |
Correct |
0 ms |
436 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
1 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
504 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
0 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
0 ms |
348 KB |
Output is correct |
29 |
Correct |
1 ms |
344 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
24 ms |
20552 KB |
Output is correct |
34 |
Correct |
24 ms |
20416 KB |
Output is correct |
35 |
Correct |
133 ms |
50768 KB |
Output is correct |
36 |
Correct |
129 ms |
50772 KB |
Output is correct |
37 |
Correct |
21 ms |
18772 KB |
Output is correct |
38 |
Correct |
61 ms |
31312 KB |
Output is correct |
39 |
Correct |
18 ms |
18520 KB |
Output is correct |
40 |
Correct |
107 ms |
45980 KB |
Output is correct |
41 |
Correct |
18 ms |
18516 KB |
Output is correct |
42 |
Correct |
19 ms |
18576 KB |
Output is correct |
43 |
Correct |
117 ms |
46344 KB |
Output is correct |
44 |
Correct |
104 ms |
46316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
344 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
0 ms |
348 KB |
Output is correct |
13 |
Correct |
0 ms |
436 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
348 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
0 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
348 KB |
Output is correct |
27 |
Correct |
1 ms |
348 KB |
Output is correct |
28 |
Correct |
1 ms |
344 KB |
Output is correct |
29 |
Correct |
1 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
348 KB |
Output is correct |
31 |
Correct |
1 ms |
348 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
140 ms |
44552 KB |
Output is correct |
34 |
Correct |
197 ms |
53348 KB |
Output is correct |
35 |
Correct |
164 ms |
44912 KB |
Output is correct |
36 |
Correct |
200 ms |
48676 KB |
Output is correct |
37 |
Correct |
29 ms |
20572 KB |
Output is correct |
38 |
Correct |
25 ms |
20564 KB |
Output is correct |
39 |
Correct |
135 ms |
50692 KB |
Output is correct |
40 |
Correct |
126 ms |
50856 KB |
Output is correct |
41 |
Correct |
27 ms |
18776 KB |
Output is correct |
42 |
Correct |
65 ms |
31316 KB |
Output is correct |
43 |
Correct |
16 ms |
18520 KB |
Output is correct |
44 |
Correct |
128 ms |
45860 KB |
Output is correct |
45 |
Correct |
18 ms |
18524 KB |
Output is correct |
46 |
Correct |
19 ms |
18516 KB |
Output is correct |
47 |
Correct |
106 ms |
46320 KB |
Output is correct |
48 |
Correct |
113 ms |
46160 KB |
Output is correct |
49 |
Correct |
70 ms |
23632 KB |
Output is correct |
50 |
Correct |
55 ms |
23628 KB |
Output is correct |
51 |
Correct |
162 ms |
52564 KB |
Output is correct |
52 |
Correct |
161 ms |
52356 KB |
Output is correct |
53 |
Correct |
86 ms |
21840 KB |
Output is correct |
54 |
Correct |
97 ms |
35352 KB |
Output is correct |
55 |
Correct |
51 ms |
19608 KB |
Output is correct |
56 |
Correct |
178 ms |
47700 KB |
Output is correct |
57 |
Correct |
60 ms |
20052 KB |
Output is correct |
58 |
Correct |
89 ms |
20560 KB |
Output is correct |
59 |
Correct |
114 ms |
46344 KB |
Output is correct |