/*
* APIO 2016 Gap
* T = 1
> Two pointers, left right approaching the center
* T = 2
> pigeon hole principle
> get minimum and maximum,
> then divide the array into n - 1 approx. equal parts
> By PHP, one of these parts will be empty
> Thus, maximum gap >= the length of a part
> Now we can simply compare with seg[i].left - seg[i - 1].right
*/
#include "gap.h"
#include <iostream>
using namespace std;
#define ll long long
const ll mn = 0ll, mx = 1e18;
ll res = mn, arr[100005];
ll findGap(int t, int n){
if(t == 1){
ll lf = mn, rg = mx, k = 0;
for(int i = n; i > 0; i -= 2){
MinMax(lf, rg, &arr[k], &arr[n - 1 - k]);
lf = arr[k] + 1;
rg = arr[n - 1 - k] - 1;
k ++;
}
for(int i = 1; i < n; i ++)
res = max(res, arr[i] - arr[i - 1]);
}
if(t == 2){
ll lf, rg;
MinMax(mn, mx, &lf, &rg);
if(n == 2) return rg - lf;
ll len = rg - lf - 1ll;
ll st = lf + 1, ed = lf;
for(int i = 0; i < n - 1; i ++){
ll e = st + len / (n - 1) - 1;
if(i < len % (n - 1)) e ++;
MinMax(st, e, &lf, &rg);
if(lf != -1){
res = max(res, lf - ed);
ed = rg;
}
st = e + 1ll;
}
res = max(res, st - ed);
}
return res;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Correct |
0 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
0 ms |
384 KB |
Output is correct |
6 |
Correct |
0 ms |
384 KB |
Output is correct |
7 |
Correct |
0 ms |
384 KB |
Output is correct |
8 |
Correct |
0 ms |
384 KB |
Output is correct |
9 |
Correct |
1 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
1 ms |
384 KB |
Output is correct |
12 |
Correct |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
1 ms |
384 KB |
Output is correct |
15 |
Correct |
1 ms |
384 KB |
Output is correct |
16 |
Correct |
13 ms |
760 KB |
Output is correct |
17 |
Correct |
12 ms |
768 KB |
Output is correct |
18 |
Correct |
15 ms |
768 KB |
Output is correct |
19 |
Correct |
12 ms |
768 KB |
Output is correct |
20 |
Correct |
9 ms |
768 KB |
Output is correct |
21 |
Correct |
49 ms |
1912 KB |
Output is correct |
22 |
Correct |
50 ms |
1912 KB |
Output is correct |
23 |
Correct |
50 ms |
1840 KB |
Output is correct |
24 |
Correct |
50 ms |
1912 KB |
Output is correct |
25 |
Correct |
41 ms |
1912 KB |
Output is correct |
26 |
Correct |
53 ms |
1960 KB |
Output is correct |
27 |
Correct |
50 ms |
1912 KB |
Output is correct |
28 |
Correct |
52 ms |
1940 KB |
Output is correct |
29 |
Correct |
56 ms |
1916 KB |
Output is correct |
30 |
Correct |
38 ms |
1912 KB |
Output is correct |
31 |
Correct |
1 ms |
384 KB |
Output is correct |
32 |
Correct |
0 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
0 ms |
384 KB |
Output is correct |
5 |
Correct |
0 ms |
384 KB |
Output is correct |
6 |
Correct |
1 ms |
384 KB |
Output is correct |
7 |
Correct |
1 ms |
384 KB |
Output is correct |
8 |
Correct |
1 ms |
384 KB |
Output is correct |
9 |
Correct |
0 ms |
384 KB |
Output is correct |
10 |
Correct |
1 ms |
384 KB |
Output is correct |
11 |
Correct |
2 ms |
384 KB |
Output is correct |
12 |
Correct |
1 ms |
384 KB |
Output is correct |
13 |
Correct |
1 ms |
384 KB |
Output is correct |
14 |
Correct |
1 ms |
384 KB |
Output is correct |
15 |
Correct |
1 ms |
384 KB |
Output is correct |
16 |
Correct |
16 ms |
512 KB |
Output is correct |
17 |
Correct |
16 ms |
512 KB |
Output is correct |
18 |
Correct |
16 ms |
512 KB |
Output is correct |
19 |
Correct |
16 ms |
512 KB |
Output is correct |
20 |
Correct |
8 ms |
512 KB |
Output is correct |
21 |
Correct |
66 ms |
1064 KB |
Output is correct |
22 |
Correct |
66 ms |
1144 KB |
Output is correct |
23 |
Correct |
65 ms |
1056 KB |
Output is correct |
24 |
Correct |
66 ms |
1144 KB |
Output is correct |
25 |
Correct |
58 ms |
1060 KB |
Output is correct |
26 |
Correct |
65 ms |
1176 KB |
Output is correct |
27 |
Correct |
65 ms |
1144 KB |
Output is correct |
28 |
Correct |
72 ms |
1144 KB |
Output is correct |
29 |
Correct |
66 ms |
1148 KB |
Output is correct |
30 |
Correct |
36 ms |
1168 KB |
Output is correct |
31 |
Correct |
0 ms |
384 KB |
Output is correct |
32 |
Correct |
1 ms |
384 KB |
Output is correct |