#ifndef _GLIBCXX_DEBUG
#define NDEBUG
#endif
#include <cassert>
#include <iostream>
#include <vector>
#include <algorithm>
#include <set>
#ifdef Sublime
#include <iostream>
#include <sstream>
#define cin cin__
namespace std{std::stringstream cin(R"(
4 6
1 5
2 5
2 8
3 3
3 2
3 3
2 9
4 4
4 3
)");}
#endif // Sublime
template <typename T>
std::multiset<T> merge(std::multiset<T> a, std::multiset<T> b) {
if (a.size() < b.size()) std::swap(a, b);
a.insert(b.begin(), b.end()); // move iterator?
return a;
}
struct function {
int zero_slope; // negative
int64_t zero_value;
std::multiset<int64_t> switches;
}; // convex piecewise-linear function
// with derivative delta of (multiple of) 1
function operator+(function a, function b) {
return {
a.zero_slope + b.zero_slope,
a.zero_value + b.zero_value,
merge(std::move(a.switches), std::move(b.switches))
};
}
struct node {
size_t parent; int64_t parent_len;
// consider the function **after** connected to parent.
function fn;
};
std::istream& operator >> (std::istream& str, node & a) {
str >> a.parent >> a.parent_len;
--a.parent;
return str;
}
int main() {
size_t nbranch, nleaf;
std::cin >> nbranch >> nleaf;
std::vector<node> nodes (nbranch + nleaf);
// read input
for (size_t i = 1; i < nodes.size(); ++i) {
std::cin >> nodes[i];
}
for (size_t i = nodes.size(); i --> 1; ) {
node& n = nodes[i];
if (i >= nbranch) { // process leaves
n.fn.switches.insert({
n.parent_len,
n.parent_len}); // twice
n.fn.zero_slope = 1;
n.fn.zero_value = n.parent_len;
} else { // branches
// so now n.fn is the sum of the (fn)'s
// of the node's children.
for (int i = n.fn.switches.size() -
(n.fn.zero_slope + 1); i --> 0;)
n.fn.switches.erase(--n.fn.switches.end());
n.fn.zero_value += n.parent_len;
auto a = --n.fn.switches.end(); auto _a = *a; n.fn.switches.erase(a);
auto b = --n.fn.switches.end(); auto _b = *b; n.fn.switches.erase(b);
n.fn.switches.insert({_a + n.parent_len, _b + n.parent_len});
assert((int) n.fn.switches.size() == n.fn.zero_slope + 1);
}
// add to its parent
nodes[n.parent].fn = std::move(nodes[n.parent].fn) + std::move(n.fn);
}
function f = std::move(nodes[0].fn);
assert((int) f.switches.size() >= f.zero_slope);
for (int i = f.switches.size() - f.zero_slope; i --> 0;)
f.switches.erase(--f.switches.end());
assert((int) f.switches.size() == f.zero_slope);
int last_slope = f.zero_slope;
int64_t last_x = 0, last_y = f.zero_value;
for (int64_t x : f.switches) {
last_y -= last_slope * (x - last_x);
last_x = x;
--last_slope;
}
assert(last_slope == 0);
std::cout << last_y << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
2024 KB |
Output is correct |
2 |
Correct |
0 ms |
2024 KB |
Output is correct |
3 |
Correct |
1 ms |
2024 KB |
Output is correct |
4 |
Correct |
0 ms |
2024 KB |
Output is correct |
5 |
Correct |
0 ms |
2024 KB |
Output is correct |
6 |
Correct |
0 ms |
2024 KB |
Output is correct |
7 |
Correct |
0 ms |
2024 KB |
Output is correct |
8 |
Correct |
0 ms |
2024 KB |
Output is correct |
9 |
Correct |
0 ms |
2024 KB |
Output is correct |
10 |
Correct |
0 ms |
2024 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
2024 KB |
Output is correct |
2 |
Correct |
0 ms |
2024 KB |
Output is correct |
3 |
Correct |
0 ms |
2024 KB |
Output is correct |
4 |
Correct |
0 ms |
2024 KB |
Output is correct |
5 |
Correct |
1 ms |
2024 KB |
Output is correct |
6 |
Correct |
0 ms |
2024 KB |
Output is correct |
7 |
Correct |
0 ms |
2024 KB |
Output is correct |
8 |
Correct |
0 ms |
2024 KB |
Output is correct |
9 |
Correct |
0 ms |
2024 KB |
Output is correct |
10 |
Correct |
0 ms |
2024 KB |
Output is correct |
11 |
Correct |
0 ms |
2024 KB |
Output is correct |
12 |
Correct |
1 ms |
2024 KB |
Output is correct |
13 |
Correct |
1 ms |
2024 KB |
Output is correct |
14 |
Correct |
0 ms |
2024 KB |
Output is correct |
15 |
Correct |
1 ms |
2024 KB |
Output is correct |
16 |
Correct |
0 ms |
2024 KB |
Output is correct |
17 |
Correct |
1 ms |
2024 KB |
Output is correct |
18 |
Correct |
0 ms |
2024 KB |
Output is correct |
19 |
Correct |
1 ms |
2024 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
2024 KB |
Output is correct |
2 |
Correct |
0 ms |
2024 KB |
Output is correct |
3 |
Correct |
1 ms |
2024 KB |
Output is correct |
4 |
Correct |
0 ms |
2024 KB |
Output is correct |
5 |
Correct |
0 ms |
2024 KB |
Output is correct |
6 |
Correct |
0 ms |
2024 KB |
Output is correct |
7 |
Correct |
0 ms |
2024 KB |
Output is correct |
8 |
Correct |
0 ms |
2024 KB |
Output is correct |
9 |
Correct |
0 ms |
2024 KB |
Output is correct |
10 |
Correct |
0 ms |
2024 KB |
Output is correct |
11 |
Correct |
0 ms |
2024 KB |
Output is correct |
12 |
Correct |
0 ms |
2024 KB |
Output is correct |
13 |
Correct |
0 ms |
2024 KB |
Output is correct |
14 |
Correct |
0 ms |
2024 KB |
Output is correct |
15 |
Correct |
1 ms |
2024 KB |
Output is correct |
16 |
Correct |
0 ms |
2024 KB |
Output is correct |
17 |
Correct |
0 ms |
2024 KB |
Output is correct |
18 |
Correct |
0 ms |
2024 KB |
Output is correct |
19 |
Correct |
0 ms |
2024 KB |
Output is correct |
20 |
Correct |
0 ms |
2024 KB |
Output is correct |
21 |
Correct |
0 ms |
2024 KB |
Output is correct |
22 |
Correct |
1 ms |
2024 KB |
Output is correct |
23 |
Correct |
1 ms |
2024 KB |
Output is correct |
24 |
Correct |
0 ms |
2024 KB |
Output is correct |
25 |
Correct |
1 ms |
2024 KB |
Output is correct |
26 |
Correct |
0 ms |
2024 KB |
Output is correct |
27 |
Correct |
1 ms |
2024 KB |
Output is correct |
28 |
Correct |
0 ms |
2024 KB |
Output is correct |
29 |
Correct |
1 ms |
2024 KB |
Output is correct |
30 |
Correct |
1 ms |
2156 KB |
Output is correct |
31 |
Correct |
1 ms |
2188 KB |
Output is correct |
32 |
Correct |
0 ms |
2224 KB |
Output is correct |
33 |
Correct |
1 ms |
2332 KB |
Output is correct |
34 |
Correct |
5 ms |
2388 KB |
Output is correct |
35 |
Correct |
8 ms |
2440 KB |
Output is correct |
36 |
Correct |
5 ms |
2476 KB |
Output is correct |
37 |
Correct |
6 ms |
2528 KB |
Output is correct |
38 |
Correct |
6 ms |
2548 KB |
Output is correct |
39 |
Correct |
9 ms |
2548 KB |
Output is correct |
40 |
Correct |
5 ms |
2416 KB |
Output is correct |
41 |
Correct |
5 ms |
2416 KB |
Output is correct |
42 |
Correct |
2 ms |
2416 KB |
Output is correct |
43 |
Correct |
8 ms |
2680 KB |
Output is correct |
44 |
Correct |
7 ms |
2680 KB |
Output is correct |
45 |
Correct |
8 ms |
2680 KB |
Output is correct |
46 |
Correct |
9 ms |
2944 KB |
Output is correct |
47 |
Correct |
8 ms |
2940 KB |
Output is correct |
48 |
Correct |
8 ms |
2776 KB |
Output is correct |
49 |
Correct |
9 ms |
2944 KB |
Output is correct |
50 |
Correct |
6 ms |
2756 KB |
Output is correct |
51 |
Correct |
3 ms |
2748 KB |
Output is correct |
52 |
Correct |
8 ms |
2772 KB |
Output is correct |
53 |
Correct |
2 ms |
2788 KB |
Output is correct |
54 |
Correct |
6 ms |
2944 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
2024 KB |
Output is correct |
2 |
Correct |
0 ms |
2024 KB |
Output is correct |
3 |
Correct |
1 ms |
2024 KB |
Output is correct |
4 |
Correct |
0 ms |
2024 KB |
Output is correct |
5 |
Correct |
0 ms |
2024 KB |
Output is correct |
6 |
Correct |
0 ms |
2024 KB |
Output is correct |
7 |
Correct |
0 ms |
2024 KB |
Output is correct |
8 |
Correct |
0 ms |
2024 KB |
Output is correct |
9 |
Correct |
0 ms |
2024 KB |
Output is correct |
10 |
Correct |
0 ms |
2024 KB |
Output is correct |
11 |
Correct |
0 ms |
2024 KB |
Output is correct |
12 |
Correct |
0 ms |
2024 KB |
Output is correct |
13 |
Correct |
0 ms |
2024 KB |
Output is correct |
14 |
Correct |
0 ms |
2024 KB |
Output is correct |
15 |
Correct |
1 ms |
2024 KB |
Output is correct |
16 |
Correct |
0 ms |
2024 KB |
Output is correct |
17 |
Correct |
0 ms |
2024 KB |
Output is correct |
18 |
Correct |
0 ms |
2024 KB |
Output is correct |
19 |
Correct |
0 ms |
2024 KB |
Output is correct |
20 |
Correct |
0 ms |
2024 KB |
Output is correct |
21 |
Correct |
0 ms |
2024 KB |
Output is correct |
22 |
Correct |
1 ms |
2024 KB |
Output is correct |
23 |
Correct |
1 ms |
2024 KB |
Output is correct |
24 |
Correct |
0 ms |
2024 KB |
Output is correct |
25 |
Correct |
1 ms |
2024 KB |
Output is correct |
26 |
Correct |
0 ms |
2024 KB |
Output is correct |
27 |
Correct |
1 ms |
2024 KB |
Output is correct |
28 |
Correct |
0 ms |
2024 KB |
Output is correct |
29 |
Correct |
1 ms |
2024 KB |
Output is correct |
30 |
Correct |
1 ms |
2156 KB |
Output is correct |
31 |
Correct |
1 ms |
2188 KB |
Output is correct |
32 |
Correct |
0 ms |
2224 KB |
Output is correct |
33 |
Correct |
1 ms |
2332 KB |
Output is correct |
34 |
Correct |
5 ms |
2388 KB |
Output is correct |
35 |
Correct |
8 ms |
2440 KB |
Output is correct |
36 |
Correct |
5 ms |
2476 KB |
Output is correct |
37 |
Correct |
6 ms |
2528 KB |
Output is correct |
38 |
Correct |
6 ms |
2548 KB |
Output is correct |
39 |
Correct |
9 ms |
2548 KB |
Output is correct |
40 |
Correct |
5 ms |
2416 KB |
Output is correct |
41 |
Correct |
5 ms |
2416 KB |
Output is correct |
42 |
Correct |
2 ms |
2416 KB |
Output is correct |
43 |
Correct |
8 ms |
2680 KB |
Output is correct |
44 |
Correct |
7 ms |
2680 KB |
Output is correct |
45 |
Correct |
8 ms |
2680 KB |
Output is correct |
46 |
Correct |
9 ms |
2944 KB |
Output is correct |
47 |
Correct |
8 ms |
2940 KB |
Output is correct |
48 |
Correct |
8 ms |
2776 KB |
Output is correct |
49 |
Correct |
9 ms |
2944 KB |
Output is correct |
50 |
Correct |
6 ms |
2756 KB |
Output is correct |
51 |
Correct |
3 ms |
2748 KB |
Output is correct |
52 |
Correct |
8 ms |
2772 KB |
Output is correct |
53 |
Correct |
2 ms |
2788 KB |
Output is correct |
54 |
Correct |
6 ms |
2944 KB |
Output is correct |
55 |
Correct |
25 ms |
3580 KB |
Output is correct |
56 |
Correct |
79 ms |
7584 KB |
Output is correct |
57 |
Correct |
143 ms |
11512 KB |
Output is correct |
58 |
Correct |
186 ms |
14088 KB |
Output is correct |
59 |
Correct |
270 ms |
18228 KB |
Output is correct |
60 |
Correct |
331 ms |
22156 KB |
Output is correct |
61 |
Correct |
381 ms |
24828 KB |
Output is correct |
62 |
Correct |
500 ms |
27272 KB |
Output is correct |
63 |
Correct |
610 ms |
32092 KB |
Output is correct |
64 |
Correct |
608 ms |
33796 KB |
Output is correct |
65 |
Correct |
364 ms |
25464 KB |
Output is correct |
66 |
Correct |
329 ms |
25464 KB |
Output is correct |
67 |
Correct |
326 ms |
25596 KB |
Output is correct |
68 |
Correct |
527 ms |
39588 KB |
Output is correct |
69 |
Correct |
535 ms |
39720 KB |
Output is correct |
70 |
Correct |
567 ms |
39720 KB |
Output is correct |
71 |
Correct |
677 ms |
53316 KB |
Output is correct |
72 |
Correct |
672 ms |
53312 KB |
Output is correct |
73 |
Correct |
613 ms |
53560 KB |
Output is correct |
74 |
Correct |
614 ms |
53572 KB |
Output is correct |
75 |
Correct |
653 ms |
53276 KB |
Output is correct |
76 |
Correct |
651 ms |
53344 KB |
Output is correct |
77 |
Correct |
746 ms |
52220 KB |
Output is correct |
78 |
Correct |
706 ms |
52392 KB |
Output is correct |
79 |
Correct |
797 ms |
53580 KB |
Output is correct |