Submission #74600

#TimeUsernameProblemLanguageResultExecution timeMemory
74600tincamateiGap (APIO16_gap)C++14
100 / 100
82 ms2272 KiB
#include <bits/stdc++.h>
//#define HOME
#ifndef HOME
	#include "gap.h"
#else
 
long long findGap(int, int);
 
namespace grader {
static void my_assert(int k){ if (!k) exit(1); }
 
static int subtask_num, N;
static long long A[100001];
static long long call_count;
 
void MinMax(long long s, long long t, long long *mn, long long *mx)
{
	int lo = 1, hi = N, left = N+1, right = 0;
	my_assert(s <= t && mn != NULL && mx != NULL);
	while (lo <= hi){
		int mid = (lo+hi)>>1;
		if (A[mid] >= s) hi = mid - 1, left = mid;
		else lo = mid + 1;
	}
	lo = 1, hi = N;
	while (lo <= hi){
		int mid = (lo+hi)>>1;
		if (A[mid] <= t) lo = mid + 1, right = mid;
		else hi = mid - 1;
	}
	if (left > right) *mn = *mx = -1;
	else{
		*mn = A[left];
		*mx = A[right];
	}
	if (subtask_num == 1) call_count++;
	else if (subtask_num == 2) call_count += right-left+2;
}
 
void grader() {
	FILE *in = stdin, *out = stdout;
	my_assert(2 == fscanf(in, "%d%d", &subtask_num, &N));
	my_assert(1 <= subtask_num && subtask_num <= 2);
	my_assert(2 <= N && N <= 100000);
	for (int i=1;i<=N;i++) my_assert(1 == fscanf(in, "%lld", A+i));
	for (int i=1;i<N;i++) my_assert(A[i] < A[i+1]);
	fprintf(out, "Gap : %lld\n", findGap(subtask_num, N));
	fprintf(out, "Calls: %lld\n", call_count);
}
 
}
 
void MinMax(long long s, long long t, long long *mn, long long *mx) {
	grader::MinMax(s, t, mn, mx);
}
 
int main()
{
	grader::grader();
}
 
 
#endif
 
const int MAX_N = 100000;
const long long INF = 1000000000000000000LL;
 
long long v[MAX_N];
 
long long findGap(int T, int N) {
	int top = 0;
	long long mn, mx, mnAll;
	if(T == 1) {
		MinMax(0, INF, &mn, &mx);
		v[0] = mn;
		v[N - 1] = mx;
		for(int i = 1; i <= (N - 1) / 2; ++i) {
            MinMax(v[i - 1] + 1, v[N - i] - 1, &mn, &mx);
            v[i] = mn;
            v[N - i - 1] = mx;
        }
        top = N;
    } else {
	    MinMax(0, INF, &mn, &mx);
	    //printf("%lld %lld\n", mn, mx);
	    mnAll = mn;
        long long expect = (mx - mn) / (N - 1) + 1;
        for(int i = 0; i < N - 1; ++i) {
	        MinMax(mnAll + i * expect, mnAll + i * expect + expect - 1, &mn, &mx);
	        //printf("%lld %lld %lld %lld\n", mnAll + i * expect, mnAll + i * expect + expect - 1, mn, mx);
	        if(mn != -1)
	            v[top++] = mn;
	        if(mn != mx && mx != -1)
	            v[top++] = mx;
	    }
	}
	//for(int i = 0; i < top; ++i)
	//    printf("%lld ", v[i]);
	long long rez = 0LL;
	for(int i = 0; i < top - 1; ++i)
	    rez = std::max(rez, v[i + 1] - v[i]);
	return rez;
}
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