/* * Korzystalem z: * http://stackoverflow.com/questions/757059/position-of-least-significant-bit-that-is-set * http://stackoverflow.com/questions/8898807/pythonic-way-to-iterate-over-bits-of-integer * http://stackoverflow.com/questions/15932237/iterating-over-all-subsets-of-a-given-size */ #include <cstdio> #include <algorithm> #include <vector> #include <list> #include <stack> #include <queue> #include <cmath> #include <map> #include <string> #include <set> #include <cstring> #include <iostream> #include <sstream> #include <cassert> #include <bitset> using namespace std; #define PB push_back #define FORE(i,t) for(typeof(t.begin())i=t.begin();i!=t.end();++i) #define SZ(x) int((x).size()) #define REP(i,n) for(int i=0,_=(n);i<_;++i) #define FOR(i,a,b) for(int i=(a),_=(b);i<=_;++i) #define FORD(i,a,b) for(int i=(a),_=(b);i>=_;--i) typedef long long ll; typedef vector<int> vi; typedef pair<int, int> pii; #define BITS 8 int n, m; int weight[26]; int capacity[102]; int results[1 << 24]; bool was[1 << 24] = {}; const int MultiplyDeBruijnBitPosition[32] = { 0, 1, 28, 2, 29, 14, 24, 3, 30, 22, 20, 15, 25, 17, 4, 8, 31, 27, 13, 23, 21, 19, 16, 7, 26, 12, 18, 6, 11, 5, 10, 9 }; int lowest_bit_position(unsigned v) { return MultiplyDeBruijnBitPosition[((unsigned) ((v & -v) * 0x077CB531U)) >> 27]; } vi *old_q = new vi(), *current_q = new vi(); void solve_subset(int pos, int subset) { if (pos > 0 && (results[subset] < 0 || was[subset])) { results[subset] = max(results[subset], capacity[pos]); } // cout << "ss pos=" << pos << " subset=" << bitset<BITS>(subset) << " res=" << results[subset] << "\n"; if (results[subset] >= 0) { int left = (1 << n) - 1 - subset; bool any = false; while (left) { int added_bit = left & (~left + 1); int added_bit_position = lowest_bit_position(added_bit); int new_value = results[subset] - weight[added_bit_position]; if (new_value > results[subset | added_bit]) { if (pos > 0) { // current_q->PB(subset | added_bit); if (results[subset | added_bit] < 0) { old_q->PB(subset | added_bit); } else { } // cout << "q.add2(" << bitset<BITS>(subset | added_bit) << ") = " << new_value << "\n"; } results[subset | added_bit] = new_value; } if (new_value >= 0) { any = true; } left ^= added_bit; } if (pos == 0 || !any) { if (pos > 0 && results[subset] == weight[pos]) { } else { current_q->PB(subset); } // cout << "q.add1(" << bitset<BITS>(subset) << ")\n"; } } } int solve() { REP(pos, min(m, n)) { // printf("==========pos=%d===========\n", pos); REP(i, 1 << n) { results[i] = -1; } // memset(results, -1, sizeof(results[0]) * (1 << n)); // cout << results[0] << "\n"; results[0] = capacity[pos]; if (pos == 0) { REP(k, n + 1) { // printf("k=%d\n", k); int subset = (1 << k) - 1; while (subset < (1 << n)) { solve_subset(pos, subset); if (subset == 0) { break; } int a = subset&-subset, b = subset + a; subset = (subset^b) / 4 / a | b; } } swap(old_q, current_q); current_q->clear(); } else { FORE (it, (*old_q)) { int subset = *it; solve_subset(pos, subset); } // old_q = current_q; swap(old_q, current_q); current_q->clear(); } if (results[(1 << n) - 1] >= 0) { return pos + 1; } REP (i, 1 << n) { was[i] = (results[i] >= 0); } } return -1; } void inline jeden() { scanf("%d%d", &n, &m); REP(i, n) { scanf("%d", weight + i); } sort(weight, weight + n); reverse(weight, weight + n); REP(j, m) { scanf("%d", capacity + j); } capacity[m++] = 0; sort(capacity, capacity + m); reverse(capacity, capacity + m); int result = solve(); if (result == -1) { puts("NIE"); } else { printf("%d\n", result); } } int main() { old_q->reserve(1 << 24); current_q->reserve(1 << 24); jeden(); }
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 | /* * Korzystalem z: * http://stackoverflow.com/questions/757059/position-of-least-significant-bit-that-is-set * http://stackoverflow.com/questions/8898807/pythonic-way-to-iterate-over-bits-of-integer * http://stackoverflow.com/questions/15932237/iterating-over-all-subsets-of-a-given-size */ #include <cstdio> #include <algorithm> #include <vector> #include <list> #include <stack> #include <queue> #include <cmath> #include <map> #include <string> #include <set> #include <cstring> #include <iostream> #include <sstream> #include <cassert> #include <bitset> using namespace std; #define PB push_back #define FORE(i,t) for(typeof(t.begin())i=t.begin();i!=t.end();++i) #define SZ(x) int((x).size()) #define REP(i,n) for(int i=0,_=(n);i<_;++i) #define FOR(i,a,b) for(int i=(a),_=(b);i<=_;++i) #define FORD(i,a,b) for(int i=(a),_=(b);i>=_;--i) typedef long long ll; typedef vector<int> vi; typedef pair<int, int> pii; #define BITS 8 int n, m; int weight[26]; int capacity[102]; int results[1 << 24]; bool was[1 << 24] = {}; const int MultiplyDeBruijnBitPosition[32] = { 0, 1, 28, 2, 29, 14, 24, 3, 30, 22, 20, 15, 25, 17, 4, 8, 31, 27, 13, 23, 21, 19, 16, 7, 26, 12, 18, 6, 11, 5, 10, 9 }; int lowest_bit_position(unsigned v) { return MultiplyDeBruijnBitPosition[((unsigned) ((v & -v) * 0x077CB531U)) >> 27]; } vi *old_q = new vi(), *current_q = new vi(); void solve_subset(int pos, int subset) { if (pos > 0 && (results[subset] < 0 || was[subset])) { results[subset] = max(results[subset], capacity[pos]); } // cout << "ss pos=" << pos << " subset=" << bitset<BITS>(subset) << " res=" << results[subset] << "\n"; if (results[subset] >= 0) { int left = (1 << n) - 1 - subset; bool any = false; while (left) { int added_bit = left & (~left + 1); int added_bit_position = lowest_bit_position(added_bit); int new_value = results[subset] - weight[added_bit_position]; if (new_value > results[subset | added_bit]) { if (pos > 0) { // current_q->PB(subset | added_bit); if (results[subset | added_bit] < 0) { old_q->PB(subset | added_bit); } else { } // cout << "q.add2(" << bitset<BITS>(subset | added_bit) << ") = " << new_value << "\n"; } results[subset | added_bit] = new_value; } if (new_value >= 0) { any = true; } left ^= added_bit; } if (pos == 0 || !any) { if (pos > 0 && results[subset] == weight[pos]) { } else { current_q->PB(subset); } // cout << "q.add1(" << bitset<BITS>(subset) << ")\n"; } } } int solve() { REP(pos, min(m, n)) { // printf("==========pos=%d===========\n", pos); REP(i, 1 << n) { results[i] = -1; } // memset(results, -1, sizeof(results[0]) * (1 << n)); // cout << results[0] << "\n"; results[0] = capacity[pos]; if (pos == 0) { REP(k, n + 1) { // printf("k=%d\n", k); int subset = (1 << k) - 1; while (subset < (1 << n)) { solve_subset(pos, subset); if (subset == 0) { break; } int a = subset&-subset, b = subset + a; subset = (subset^b) / 4 / a | b; } } swap(old_q, current_q); current_q->clear(); } else { FORE (it, (*old_q)) { int subset = *it; solve_subset(pos, subset); } // old_q = current_q; swap(old_q, current_q); current_q->clear(); } if (results[(1 << n) - 1] >= 0) { return pos + 1; } REP (i, 1 << n) { was[i] = (results[i] >= 0); } } return -1; } void inline jeden() { scanf("%d%d", &n, &m); REP(i, n) { scanf("%d", weight + i); } sort(weight, weight + n); reverse(weight, weight + n); REP(j, m) { scanf("%d", capacity + j); } capacity[m++] = 0; sort(capacity, capacity + m); reverse(capacity, capacity + m); int result = solve(); if (result == -1) { puts("NIE"); } else { printf("%d\n", result); } } int main() { old_q->reserve(1 << 24); current_q->reserve(1 << 24); jeden(); } |