#include <cstdio> #include <iostream> #include <set> #include <algorithm> #include <iomanip> #include <cassert> #define REP(i, n) for(int i = 0; i < n; i++) #define FWD(i, a, b) for(int i = a; i < b; i++) #define ALL(u) (u).begin(), (u).end() using namespace std; typedef pair<int,int> PII; typedef long long LL; typedef uint uint; const int INF = 1000000000; struct Length { int sack, fill; static Length inf; bool operator<(Length a) const { if (sack != a.sack) return sack < a.sack; return fill < a.fill; } bool operator==(Length a) const { return sack == a.sack and fill == a.fill; } }; Length Length::inf = Length({INF, INF}); class Sol { vector<int> items, sacks; Length add(Length a, int size) { if (a == Length::inf) { return Length::inf; } assert(a.sack < (int)sacks.size()); if (sacks[a.sack] >= a.fill + size) { return Length({a.sack, a.fill + size}); } if (a.sack+1 >= (int)sacks.size()) { return Length::inf; } if (size > sacks[a.sack + 1]) { return Length::inf; } return Length({a.sack+1, size}); } string to_bin(uint mask) { string res = ""; for(int i = 0; i < (int)items.size(); i++) { res += string(1, '0' + mask%2); mask /= 2; } reverse(ALL(res)); return res; } vector<Length> lookup; uint genbase() { return (((uint)1)<<(items.size())) - 1; } int popcount(uint val) { return __builtin_popcount(val); } uint next(uint val) { //uint valold = val; int cnt = 0; while(val&1) { val >>= 1; cnt++; } val <<= cnt; uint res = (val & (val - 1)); uint one = ((val ^ (val - 1)) + 1) >> 2; REP(i, cnt+1) { res |= (one >> i); } //printf("next to: %s is %s\n", to_bin(valold).c_str(), to_bin(res).c_str()); return res; } uint gen_first(int bits) { uint res = 0; for(int i = 0; i < bits; i++) { res |= (((uint)1)<<(items.size() - 1 - i)); } return res; } uint gen_last(int bits) { return (((uint)1) << bits) - 1; } public: void sol() { int n, m; scanf("%d %d", &n, &m); REP(i, n) { int val; scanf("%d", &val); items.emplace_back(val); } REP(i, m) { int val; scanf("%d", &val); sacks.emplace_back(val); } sort(ALL(sacks), greater<int>()); lookup.resize(1<<items.size(), Length::inf); lookup[0] = Length({0, 0}); /* int mask = gen_first(2); int last_mask = gen_last(2); int limit = 0; while (true) { printf("cur_mask: %s last_mask: %s\n", to_bin(mask).c_str(), to_bin(last_mask).c_str()); if (mask == last_mask) break; mask = next(mask); limit++; if (limit == 10) break; } return; */ for(int bits = 0; bits < (int)items.size(); bits++) { uint mask = gen_first(bits); uint last_mask = gen_last(bits); while (true) { if (not (lookup[mask] == Length::inf)) { for(int i = 0; i < n; i++) { //printf("wut\n"); if ((mask & (((uint)1)<<i)) == 0) { lookup[mask | (((uint)1)<<i)] = min(lookup[mask | (((uint)1)<<i)], add(lookup[mask], items[i])); } } } //printf("last_mask: %s\n", to_bin(last_mask).c_str()); if (mask == last_mask) break; mask = next(mask); } } Length res = lookup[genbase()]; if (res == Length::inf) { printf("NIE\n"); } else { printf("%d\n", res.sack + 1); } } }; int main() { Sol s; s.sol(); return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 | #include <cstdio> #include <iostream> #include <set> #include <algorithm> #include <iomanip> #include <cassert> #define REP(i, n) for(int i = 0; i < n; i++) #define FWD(i, a, b) for(int i = a; i < b; i++) #define ALL(u) (u).begin(), (u).end() using namespace std; typedef pair<int,int> PII; typedef long long LL; typedef uint uint; const int INF = 1000000000; struct Length { int sack, fill; static Length inf; bool operator<(Length a) const { if (sack != a.sack) return sack < a.sack; return fill < a.fill; } bool operator==(Length a) const { return sack == a.sack and fill == a.fill; } }; Length Length::inf = Length({INF, INF}); class Sol { vector<int> items, sacks; Length add(Length a, int size) { if (a == Length::inf) { return Length::inf; } assert(a.sack < (int)sacks.size()); if (sacks[a.sack] >= a.fill + size) { return Length({a.sack, a.fill + size}); } if (a.sack+1 >= (int)sacks.size()) { return Length::inf; } if (size > sacks[a.sack + 1]) { return Length::inf; } return Length({a.sack+1, size}); } string to_bin(uint mask) { string res = ""; for(int i = 0; i < (int)items.size(); i++) { res += string(1, '0' + mask%2); mask /= 2; } reverse(ALL(res)); return res; } vector<Length> lookup; uint genbase() { return (((uint)1)<<(items.size())) - 1; } int popcount(uint val) { return __builtin_popcount(val); } uint next(uint val) { //uint valold = val; int cnt = 0; while(val&1) { val >>= 1; cnt++; } val <<= cnt; uint res = (val & (val - 1)); uint one = ((val ^ (val - 1)) + 1) >> 2; REP(i, cnt+1) { res |= (one >> i); } //printf("next to: %s is %s\n", to_bin(valold).c_str(), to_bin(res).c_str()); return res; } uint gen_first(int bits) { uint res = 0; for(int i = 0; i < bits; i++) { res |= (((uint)1)<<(items.size() - 1 - i)); } return res; } uint gen_last(int bits) { return (((uint)1) << bits) - 1; } public: void sol() { int n, m; scanf("%d %d", &n, &m); REP(i, n) { int val; scanf("%d", &val); items.emplace_back(val); } REP(i, m) { int val; scanf("%d", &val); sacks.emplace_back(val); } sort(ALL(sacks), greater<int>()); lookup.resize(1<<items.size(), Length::inf); lookup[0] = Length({0, 0}); /* int mask = gen_first(2); int last_mask = gen_last(2); int limit = 0; while (true) { printf("cur_mask: %s last_mask: %s\n", to_bin(mask).c_str(), to_bin(last_mask).c_str()); if (mask == last_mask) break; mask = next(mask); limit++; if (limit == 10) break; } return; */ for(int bits = 0; bits < (int)items.size(); bits++) { uint mask = gen_first(bits); uint last_mask = gen_last(bits); while (true) { if (not (lookup[mask] == Length::inf)) { for(int i = 0; i < n; i++) { //printf("wut\n"); if ((mask & (((uint)1)<<i)) == 0) { lookup[mask | (((uint)1)<<i)] = min(lookup[mask | (((uint)1)<<i)], add(lookup[mask], items[i])); } } } //printf("last_mask: %s\n", to_bin(last_mask).c_str()); if (mask == last_mask) break; mask = next(mask); } } Length res = lookup[genbase()]; if (res == Length::inf) { printf("NIE\n"); } else { printf("%d\n", res.sack + 1); } } }; int main() { Sol s; s.sol(); return 0; } |