/* -*- coding: utf-8 -*- * * 15.cc: No.15 カタログショッピング - 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_N = 31; /* typedef */ typedef vector vi; typedef map mivi; typedef pair pivi; typedef vector vpivi; /* global variables */ int ps[MAX_N]; mivi dp0, dp1; /* subroutines */ void do_dp(int n, int s, int i0, int i1, mivi &dp) { //printf("i0=%d, i1=%d\n", i0, i1); dp.clear(); dp[0].push_back(0); for (int i = i0; i < i1; i++) { //printf("i=%d\n", i); int bi = (1 << (n - 1 - i)); vpivi dpi(dp.rbegin(), dp.rend()); for (vpivi::iterator vitj = dpi.begin(); vitj != dpi.end(); vitj++) { int k = vitj->first + ps[i]; if (k <= s) { //printf(" j=%d -> k=%d\n", vitj->first, k); vi &bsj = vitj->second; vi &bsk = dp[k]; for (vi::iterator vit = bsj.begin(); vit != bsj.end(); vit++) bsk.push_back(*vit | bi); } } } return; for (mivi::iterator mit = dp.begin(); mit != dp.end(); mit++) { vi &v = mit->second; for (vi::iterator vit = v.begin(); vit != v.end(); vit++) { int sum = 0; for (int i = 0; i < n; i++) if (*vit & (1 << (n - 1 - i))) sum += ps[i]; if (sum != mit->first) printf("%d <-> %d\n", mit->first, sum); } } } void print_vi(int n, vi &bs) { sort(bs.begin(), bs.end(), greater()); for (vi::iterator vit = bs.begin(); vit != bs.end(); vit++) { bool first = true; for (int i = 0, bi = (1 << (n - 1)); i < n; i++, bi >>= 1) if (*vit & bi) { if (! first) putchar(' '); first = false; printf("%d", i + 1); } putchar('\n'); } } /* main */ int main() { int n, s; cin >> n >> s; for (int i = 0; i < n; i++) cin >> ps[i]; if (n < MAX_N / 2) { do_dp(n, s, 0, n, dp0); print_vi(n, dp0[s]); } else { int hn = n / 2; do_dp(n, s, 0, hn, dp0); do_dp(n, s, hn, n, dp1); //printf("dp0=%lu, dp1=%lu\n", dp0.size(), dp1.size()); vi ans; for (mivi::iterator mit0 = dp0.begin(); mit0 != dp0.end(); mit0++) { vi &bs0 = mit0->second; //printf("s=%d: dp0=%d, dp1=%d\n", s, mit0->first, s - mit0->first); mivi::iterator mit1 = dp1.find(s - mit0->first); //vi &bs1 = dp1[s - mit0->first]; if (mit1 != dp1.end()) { //printf(" mit1=%d\n", mit1->first); vi &bs1 = mit1->second; for (vi::iterator vit0 = bs0.begin(); vit0 != bs0.end(); vit0++) for (vi::iterator vit1 = bs1.begin(); vit1 != bs1.end(); vit1++) ans.push_back(*vit0 | *vit1); } } print_vi(n, ans); } return 0; }