This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <stdio.h>
#include <string.h>
#define N 200
#define MD 1000000007
int min(int a, int b) { return a < b ? a : b; }
int inv(int a) {
return a == 1 ? 1 : (long long) inv(a - MD % a) * (MD / a + 1) % MD;
}
long long count(int d) {
return (1LL << (d + 1) / 2) + (1LL << (d + 2) / 2) - 2;
}
long long power(long long a, long long k) {
long long p = 1;
while (k) {
if (k & 1)
p = p * a % MD;
a = a * a % MD;
k >>= 1;
}
return p;
}
int main() {
int q;
scanf("%d", &q);
while (q--) {
static int pp2[N + 1], dd[N + 1], qu[N], kk[N];
long long n, k;
int cnt, l, h, i, j, s, d, ans;
scanf("%lld", &n);
if ((n & n + 1) == 0) {
l = 0;
while (1LL << l + 1 <= n)
l++;
ans = 0;
for (i = 0; i <= l; i++)
for (d = 0; d <= l * 2; d++) {
k = count(d + min(d, l - i));
if (d > i)
k += (1LL << min(d - i, l) + 1) - 1 - count(d - i + min(d - i, l));
ans = (ans + (power(2, n - k) - 1) * ((1LL << i) % MD)) % MD;
}
} else {
pp2[0] = 1;
for (i = 1; i <= n; i++)
pp2[i] = pp2[i - 1] * 2 % MD;
ans = 0;
for (s = 1; s <= n; s++) {
for (i = 1; i <= n; i++)
dd[i] = n;
cnt = 0;
dd[s] = 0, qu[cnt++] = s;
for (h = 0; h < cnt; h++) {
i = qu[h], d = dd[i] + 1;
if ((j = i >> 1) > 0 && dd[j] > d)
dd[j] = d, qu[cnt++] = j;
if ((j = i << 1 | 0) <= n && dd[j] > d)
dd[j] = d, qu[cnt++] = j;
if ((j = i << 1 | 1) <= n && dd[j] > d)
dd[j] = d, qu[cnt++] = j;
}
memset(kk, 0, n * sizeof *kk);
for (i = 1; i <= n; i++)
kk[dd[i]]++;
for (d = 1; d < n; d++)
kk[d] += kk[d - 1];
for (d = 0; d < n; d++)
ans = (ans + pp2[n - kk[d]] - 1) % MD;
}
}
ans = (long long) ans * inv(power(2, n) - 1) % MD;
printf("%d\n", ans);
}
return 0;
}
Compilation message (stderr)
Main.c: In function 'main':
Main.c:39:14: warning: suggest parentheses around '+' in operand of '&' [-Wparentheses]
39 | if ((n & n + 1) == 0) {
| ~~^~~
Main.c:41:20: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
41 | while (1LL << l + 1 <= n)
| ~~^~~
Main.c:48:34: warning: suggest parentheses around '+' inside '<<' [-Wparentheses]
48 | k += (1LL << min(d - i, l) + 1) - 1 - count(d - i + min(d - i, l));
| ~~~~~~~~~~~~~~^~~
Main.c:32:2: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
32 | scanf("%d", &q);
| ^~~~~~~~~~~~~~~
Main.c:38:3: warning: ignoring return value of 'scanf' declared with attribute 'warn_unused_result' [-Wunused-result]
38 | scanf("%lld", &n);
| ^~~~~~~~~~~~~~~~~
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