Submission #45059

# Submission time Handle Problem Language Result Execution time Memory
45059 2018-04-11T06:15:49 Z Mamnoon_Siam Gap (APIO16_gap) C++17
100 / 100
116 ms 3584 KB
#include <bits/stdc++.h>
using namespace std;

int n;

typedef long long ll;

void MinMax(ll, ll, ll*, ll*);

ll ceil(ll x, ll d) {
	return (x - 1) / d + 1;
}

ll solve_naive() {
	ll l = 0, r = 1000000000000000000LL;
	vector<ll> v;
	int lim = (n + 1) / 2;
	for(int i=1; i<=lim; i++) {
		ll x, y;
		MinMax(l, r, &x, &y);
		v.push_back(x);
		if(x != y) v.push_back(y);
		l = x + 1;
		r = y - 1;
	}
	sort(v.begin(), v.end());
	ll ret = 0;
	for(int i=1; i<(ll)v.size(); i++) {
		ret = max(ret, v[i] - v[i-1]);
	} return ret;
}

ll solve_proway() {
	ll L = 0, R = 1e18;
	MinMax(L, R, &L, &R);
	if(n == 2) return R - L;
	ll big = ceil(R - L - 1, (ll)n-2);
	ll small = (R - L - 1) / (n - 2);
	ll big_cnt = (R - L - 1) % (n-2);
	ll small_cnt = (n - 2) - big_cnt;
	vector<pair<ll, ll>> v;
	ll nxt = L;
	for(ll i=1, l = L+1; i<=big_cnt; i++, l += big) {
		ll r = l + big - 1;
		ll x, y;
		MinMax(l, r, &x, &y);
		if(x != -1) {
			v.push_back(make_pair(x, y));
		} nxt = r+1;
	}
	for(ll i = 1, l = nxt; i <= small_cnt; i++, l += small) {
		ll r = l + small - 1;
		ll x, y;
		MinMax(l, r, &x, &y);
		if(x != -1) {
			v.push_back(make_pair(x, y));
		}
	}
	int tot = 2;
	for(pair<ll, ll> b : v) {
		if(b.first == b.second) tot++;
		else tot += 2;
	}
	if(tot == n) {
		ll ret = 0;
		ret = max(ret, v[0].first - L);
		ret = max(ret, R - v.back().second);
		for(int i=0; i<v.size(); i++) {
			ret = max(ret, v[i].second - v[i].first);
		}
		for(int i=1; i<v.size(); i++) {
			ret = max(ret, v[i].first - v[i-1].second);
		}
		return ret;
	}
	else {
		ll ret = 0;
		ret = max(ret, v[0].first - L);
		ret = max(ret, R - v.back().second);
		for(int i=1; i<v.size(); i++) {
			ret = max(ret, v[i].first - v[i-1].second);
		} return ret;
	}
}

long long findGap(int32_t T, int32_t N)
{
	n = N;
	if(T == 1) return solve_naive();
	else return solve_proway();
	return 0;
}

Compilation message

gap.cpp: In function 'll solve_proway()':
gap.cpp:68:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i=0; i<v.size(); i++) {
                ~^~~~~~~~~
gap.cpp:71:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i=1; i<v.size(); i++) {
                ~^~~~~~~~~
gap.cpp:80:17: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i=1; i<v.size(); i++) {
                ~^~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 380 KB Output is correct
3 Correct 2 ms 564 KB Output is correct
4 Correct 2 ms 564 KB Output is correct
5 Correct 2 ms 564 KB Output is correct
6 Correct 2 ms 564 KB Output is correct
7 Correct 2 ms 564 KB Output is correct
8 Correct 2 ms 564 KB Output is correct
9 Correct 2 ms 564 KB Output is correct
10 Correct 2 ms 588 KB Output is correct
11 Correct 3 ms 588 KB Output is correct
12 Correct 3 ms 588 KB Output is correct
13 Correct 3 ms 588 KB Output is correct
14 Correct 3 ms 588 KB Output is correct
15 Correct 3 ms 588 KB Output is correct
16 Correct 17 ms 1100 KB Output is correct
17 Correct 16 ms 1100 KB Output is correct
18 Correct 16 ms 1192 KB Output is correct
19 Correct 17 ms 1192 KB Output is correct
20 Correct 13 ms 1192 KB Output is correct
21 Correct 60 ms 2588 KB Output is correct
22 Correct 62 ms 2588 KB Output is correct
23 Correct 61 ms 2588 KB Output is correct
24 Correct 116 ms 2588 KB Output is correct
25 Correct 56 ms 2588 KB Output is correct
26 Correct 72 ms 2588 KB Output is correct
27 Correct 63 ms 2636 KB Output is correct
28 Correct 62 ms 2636 KB Output is correct
29 Correct 69 ms 2636 KB Output is correct
30 Correct 46 ms 2636 KB Output is correct
31 Correct 2 ms 2636 KB Output is correct
32 Correct 2 ms 2636 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2636 KB Output is correct
2 Correct 2 ms 2636 KB Output is correct
3 Correct 2 ms 2636 KB Output is correct
4 Correct 2 ms 2636 KB Output is correct
5 Correct 2 ms 2636 KB Output is correct
6 Correct 2 ms 2636 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 2 ms 2636 KB Output is correct
9 Correct 2 ms 2636 KB Output is correct
10 Correct 2 ms 2636 KB Output is correct
11 Correct 3 ms 2636 KB Output is correct
12 Correct 3 ms 2636 KB Output is correct
13 Correct 3 ms 2636 KB Output is correct
14 Correct 3 ms 2636 KB Output is correct
15 Correct 3 ms 2636 KB Output is correct
16 Correct 20 ms 2636 KB Output is correct
17 Correct 24 ms 2636 KB Output is correct
18 Correct 19 ms 2636 KB Output is correct
19 Correct 20 ms 2636 KB Output is correct
20 Correct 10 ms 2636 KB Output is correct
21 Correct 76 ms 2636 KB Output is correct
22 Correct 80 ms 2636 KB Output is correct
23 Correct 74 ms 2636 KB Output is correct
24 Correct 78 ms 2636 KB Output is correct
25 Correct 73 ms 3584 KB Output is correct
26 Correct 86 ms 3584 KB Output is correct
27 Correct 75 ms 3584 KB Output is correct
28 Correct 74 ms 3584 KB Output is correct
29 Correct 75 ms 3584 KB Output is correct
30 Correct 56 ms 3584 KB Output is correct
31 Correct 2 ms 3584 KB Output is correct
32 Correct 2 ms 3584 KB Output is correct