john
first commit
c4b0eef
/*
>>~~ UVa Online Judge ACM Problem Solution ~~<<
ID: 10025
Name: The ? 1 ? 2 ? ... ? n = k problem
Problem: https://onlinejudge.org/external/100/10025.pdf
Language: C++
Author: Arash Shakery
Email: [email protected]
*/
#include <math.h>
#include <stdio.h>
#include <iostream>
using namespace std;
#define INF 1073741824
#define MAXM 20000000
int memo[MAXM];
int find(int n) {
if (n < MAXM) {
if (memo[n]>0)
return memo[n];
memo[n] = INF;
}
int k = ceil((sqrt(8.0*n+1)-1)/2);
for (;; k++) {
int sm = (k*(k+1))>>1;
int di = sm - n;
if (!di) return k;
if (!(di&1)) {
int dh = di>>1;
if (dh<=k || find(dh)<=k) {
if (n < MAXM)
memo[n]=k;
return k;
}
}
}
return INF;
}
int main(){
int T, n;
cin>>T;
while (T--) {
cin >> n;
if (n<0) n=-n;
if (!n) puts("3");
else if (n==1) puts("1");
else cout << find(n) << endl;
if (T) cout << endl;
}
}