#include <stdio.h>
#include <stdlib.h>
#include <math.h>

#define min(a, b) ((a) < (b) ? (a) : (b))

int solve(int k) {
    double lower;
    int l;
    double m1, m2;

    lower = (-1 + sqrt(1 + 8.0 * k)) / 2;
    l = ceil(lower);

    if (k % 2) {
        /* in the line y=4x+2 or y=4x+1 */
        if ((l-2) % 4 == 0 || (l - 1) % 4 == 0)
            return l;

        m1 = ceil((l-2)/ 4.0);
        m2 = ceil((l-1) / 4.0);
        return min(4*m1+2, 4*m2+1);
    }

    /* in the line y=4x-1 or y=4x */
    if ((l + 1) % 4 == 0 || l % 4 == 0)
        return l;

    m1 = ceil(l / 4.0);
    m2 = ceil((l + 1) / 4.0);
    return min(4*m1, 4*m2-1);
}

int main() {
    int k;
    int total_test;
    int ans;

    scanf("%d", &total_test);
    while (total_test-- > 0) {
        scanf("%d", &k);
        ans = ((k == 0) ? 3 : solve(abs(k)));
        printf("%d\n", ans);
        if (total_test)
            putchar('\n');
    }
    return 0;
}