#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <utility>
#include <algorithm>
#include <map>
#include <unordered_map>
#include <cstring>
int x;
int diff_coords[100005];
int coords[100005];
int arr1[100005];
int arr2[100005];
int64_t pfx2[100005];
int64_t pfx3[100005];
int64_t pfx_min[100005];
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL);
std::cout.tie(NULL);
std::cin >> x;
for (int i = 1; i <= x; i++) {
int a, b, c;
std::cin >> a >> b >> c;
coords[i] = a;
diff_coords[i-1] = coords[i] - coords[i-1];
arr1[i] = c;
arr2[i] = b;
pfx2[i] = pfx2[i-1] + arr2[i];
}
pfx_min[0] = 0x3f3f3f3f3f3f3f3f;
for (int i = 1; i <= x; i++) {
pfx3[i] = pfx3[i-1] + arr1[i] - diff_coords[i];
pfx_min[i] = std::min(pfx_min[i-1], pfx3[i]);
}
int64_t ans = 0;
// case 1: individual elements
for (int i = 1; i <= x; i++) {
ans = std::max(ans, (int64_t)arr2[i]);
}
// case 2: sequences of two or more elements
int64_t base_gold = arr2[1];
int64_t base_diff = arr1[1];
for (int i = 2; i <= x; i++) {
base_gold += arr2[i];
base_diff += arr1[i];
base_diff -= diff_coords[i-1];
if (base_diff>=0) {
ans = std::max(ans, base_gold);
continue;
}
int64_t gold = base_gold;
int64_t diff = base_diff;
// binary search for minimum position where sum is <= base_diff
const auto bs = [&]() {
int ret = i;
int l = 1, r = i-1;
while (l<=r) {
int m = (l+r)>>1;
if (pfx_min[m]<=base_diff) {
ret = m;
r = m-1;
}
else {
l = m+1;
}
}
return ret;
};
int pos = bs();
if (pos==i) {
continue;
}
gold -= pfx2[pos];
ans = std::max(ans,gold);
}
std::cout << ans << "\n";
}
Compilation message
divide.cpp: In function 'int main()':
divide.cpp:62:11: warning: unused variable 'diff' [-Wunused-variable]
62 | int64_t diff = base_diff;
| ^~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
464 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
460 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
344 KB |
Output is correct |
| 9 |
Correct |
1 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 |
1 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
464 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
460 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
344 KB |
Output is correct |
| 9 |
Correct |
1 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 |
1 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 |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
1 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
356 KB |
Output is correct |
| 23 |
Correct |
1 ms |
604 KB |
Output is correct |
| 24 |
Correct |
2 ms |
604 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
464 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
460 KB |
Output is correct |
| 6 |
Correct |
1 ms |
348 KB |
Output is correct |
| 7 |
Correct |
1 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
344 KB |
Output is correct |
| 9 |
Correct |
1 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 |
1 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 |
1 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
348 KB |
Output is correct |
| 20 |
Correct |
1 ms |
348 KB |
Output is correct |
| 21 |
Correct |
1 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
356 KB |
Output is correct |
| 23 |
Correct |
1 ms |
604 KB |
Output is correct |
| 24 |
Correct |
2 ms |
604 KB |
Output is correct |
| 25 |
Correct |
1 ms |
604 KB |
Output is correct |
| 26 |
Correct |
2 ms |
860 KB |
Output is correct |
| 27 |
Correct |
3 ms |
860 KB |
Output is correct |
| 28 |
Correct |
9 ms |
3444 KB |
Output is correct |
| 29 |
Correct |
12 ms |
3676 KB |
Output is correct |
| 30 |
Correct |
22 ms |
7040 KB |
Output is correct |
| 31 |
Correct |
17 ms |
5976 KB |
Output is correct |
| 32 |
Correct |
18 ms |
5972 KB |
Output is correct |
| 33 |
Correct |
18 ms |
5980 KB |
Output is correct |
| 34 |
Correct |
19 ms |
5980 KB |
Output is correct |
| 35 |
Correct |
21 ms |
6384 KB |
Output is correct |
| 36 |
Correct |
20 ms |
6488 KB |
Output is correct |
