Submission #546395

# Submission time Handle Problem Language Result Execution time Memory
546395 2022-04-07T12:45:11 Z marsxiang5902 Gap (APIO16_gap) C++14
100 / 100
104 ms 5860 KB
#ifndef LOCAL_PROJECT
#include "gap.h"
#endif
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
const int MN = 2e5+5;
const ll MX = ll(1e9) * ll(1e9);

#ifdef LOCAL_PROJECT
int __T, __N; ll ar[MN], M = 0;
void MinMax(ll s, ll t, ll *mn, ll *mx){
    ++M;
    int a = lower_bound(ar, ar+__N, s) - ar, b = upper_bound(ar, ar+__N, t) - ar - 1;
    if(a > b){
        *mn = *mx = -1;
        return;
    }
    if(__T == 2)
        M += b-a+1;
    *mn = ar[a]; *mx = ar[b];
}
#endif

int N;
set<ll> ans;
void add(ll x){ ans.insert(x); }
void add(vector<ll> x){ ans.insert(x.begin(), x.end()); }
ll getAns(){
    ans.erase(-1);
    ll ret = 0;
    for(auto it = ans.begin(), it2 = next(it); it2 != ans.end(); it++, it2++)
        ret = max(ret, *it2 - *it);
    return ret;
}

ll solve1(){
    ll pvMn = -1, pvMx = MX+1;
    for(int l = 0, r = N-1; l <= r; l++, r--){
        MinMax(pvMn + 1, pvMx - 1, &pvMn, &pvMx);
        add({pvMn, pvMx});
    } return getAns();
}

ll solve2(){
    ll mn, mx;
    MinMax(0, MX, &mn, &mx);
    ll mnAns = (mx-mn) / (N-1) + 1;
    add({mn, mx});
    for(ll i = mn+1, a, b; i < mx; i += mnAns){
        MinMax(i, min(i + mnAns, mx) - 1, &a, &b);
        add({a, b});
    }
    return getAns();
}

ll findGap(int T, int _N){
    N = _N;
    return T == 1 || N <= 7 ? solve1() : solve2();
}

#ifdef LOCAL_PROJECT
int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);

    cin >> __T >> __N;
    for(int i = 0; i < __N; i++)
        cin >> ar[i];
    sort(ar, ar+__N);
    ll res = findGap(__T, __N);
    printf("%lld %lld\n", res, M);
    ll realAns = 0;
    for(int i = 0; i < __N-1; i++)
        realAns = max(realAns, ar[i+1] - ar[i]);
    assert(res == realAns && (__T == 1 ? M <= (__N+1) / 2 : M <= 3*__N));

    return 0;
}
#endif
# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 1 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 1 ms 208 KB Output is correct
6 Correct 1 ms 208 KB Output is correct
7 Correct 0 ms 208 KB Output is correct
8 Correct 0 ms 208 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 0 ms 208 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 14 ms 1652 KB Output is correct
17 Correct 15 ms 1684 KB Output is correct
18 Correct 17 ms 1636 KB Output is correct
19 Correct 14 ms 1680 KB Output is correct
20 Correct 11 ms 1616 KB Output is correct
21 Correct 60 ms 5668 KB Output is correct
22 Correct 66 ms 5860 KB Output is correct
23 Correct 67 ms 5760 KB Output is correct
24 Correct 78 ms 5668 KB Output is correct
25 Correct 56 ms 5692 KB Output is correct
26 Correct 57 ms 5708 KB Output is correct
27 Correct 59 ms 5792 KB Output is correct
28 Correct 60 ms 5668 KB Output is correct
29 Correct 65 ms 5676 KB Output is correct
30 Correct 59 ms 5668 KB Output is correct
31 Correct 0 ms 208 KB Output is correct
32 Correct 0 ms 208 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 0 ms 208 KB Output is correct
4 Correct 0 ms 208 KB Output is correct
5 Correct 0 ms 208 KB Output is correct
6 Correct 0 ms 208 KB Output is correct
7 Correct 0 ms 208 KB Output is correct
8 Correct 0 ms 208 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 0 ms 208 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 2 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 23 ms 1620 KB Output is correct
17 Correct 19 ms 1504 KB Output is correct
18 Correct 19 ms 1488 KB Output is correct
19 Correct 20 ms 1480 KB Output is correct
20 Correct 9 ms 464 KB Output is correct
21 Correct 82 ms 5160 KB Output is correct
22 Correct 95 ms 5168 KB Output is correct
23 Correct 87 ms 5284 KB Output is correct
24 Correct 91 ms 5232 KB Output is correct
25 Correct 94 ms 5684 KB Output is correct
26 Correct 104 ms 5316 KB Output is correct
27 Correct 82 ms 5280 KB Output is correct
28 Correct 87 ms 5244 KB Output is correct
29 Correct 85 ms 5208 KB Output is correct
30 Correct 55 ms 1876 KB Output is correct
31 Correct 0 ms 208 KB Output is correct
32 Correct 0 ms 208 KB Output is correct