/* -*- coding: utf-8 -*- * * 916.cc: No.916 Encounter On A Tree - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_D = 20; const int MAX_N = 1 << MAX_D; const int MOD = 1000000007; /* typedef */ typedef long long ll; /* global variables */ int rgs[MAX_D + 1], ds[MAX_N], fracs[MAX_N]; /* subroutines */ /* main */ int main() { int d, l, r, k; scanf("%d%d%d%d", &d, &l, &r, &k); l--, r--; rgs[0] = 0; for (int i = 0; i < d; i++) rgs[i + 1] = rgs[i] + (1 << i); //for (int i = 0; i <= d; i++) printf("%d ", rgs[i]); putchar('\n'); int n = (1 << d) - 1; fracs[0] = 1; for (int i = 0, j = 0; i < n; i++) { if (i == rgs[j]) j++; ds[i] = j - 1; fracs[i + 1] = (ll)fracs[i] * (i + 1) % MOD; } //for (int i = 0; i < n; i++) printf("%d ", ds[i]); putchar('\n'); int dd = ds[r] - ds[l]; if (k < dd || ((k - dd) & 1) != 0) { puts("0"); return 0; } int dc = ds[l] - (k - dd) / 2; if (dc < 0) { puts("0"); return 0; } //printf("dl=%d, dr=%d, dc=%d\n", ds[l], ds[r], dc); int hl = ds[l] - dc, hr = ds[r] - dc; int cnt = 1; if (hl == hr) { int mi = 1 << ds[r], mh = 1 << (hr - 1); for (int i = 0; i < d; i++) { if (i == ds[r]) cnt = (ll)cnt * mi % MOD * mh % MOD * fracs[mi - 2] % MOD; else cnt = (ll)cnt * fracs[1 << i] % MOD; } } else { int mr = 1 << ((hl == 0) ? hr : hr - 1); for (int i = 0; i < d; i++) { if (i == ds[r]) cnt = (ll)cnt * mr % MOD * fracs[(1 << i) - 1] % MOD; else cnt = (ll)cnt * fracs[1 << i] % MOD; } } printf("%d\n", cnt); return 0; }