#include <vector> #include <iostream> #include <sstream> #include <math.h> #include <sys/time.h> #include <cstdlib> #include <algorithm> #include <cassert> #include <cstring> #include <fstream> #include <set> #define FOR(i,a,b) for(__typeof(b) i=(a);i<(b);++i) #define REP(i,a) FOR(i,0,a) #define FOREACH(x,c) for(__typeof(c.begin()) x=c.begin();x != c.end(); x++) #define ALL(c) c.begin(),c.end() #define CLEAR(c) memset(c,0,sizeof(c)) #define SIZE(c) (int) ((c).size()) #define PB push_back #define MP make_pair #define X first #define Y second #define ULL unsigned long long #define LL long long #define LD long double #define II pair<int, int> #define DD pair<double, double> #define VC vector #define VI VC<int> #define VVI VC<VI> #define VD VC<double> #define VS VC<string> #define VII VC<II> #define VDD VC<DD> #define UI unsigned int #define VUI VC<UI> #define DB(a) cerr << #a << ": " << a << endl; using namespace std; template<class T> void print(VC < T > v) {cerr << "[";if (SIZE(v) != 0) cerr << v[0]; FOR(i, 1, SIZE(v)) cerr << "," << v[i]; cerr << "]\n";} template<class T> string i2s(T &x) { ostringstream o; o << x; return o.str(); } VS split(string &s, char c = ' ') {VS all; int p = 0, np; while (np = s.find(c, p), np >= 0) {if (np != p) all.PB(s.substr(p, np - p)); p = np + 1;} if (p < SIZE(s)) all.PB(s.substr(p)); return all;} int n,m; int conf; int sz[24]; int bin[100]; // 2^24 #define P_MAX 16777216 UI p[P_MAX]; LL T[P_MAX]; void readData(){ scanf("%d%d",&n,&m); REP(i,n) scanf("%d",&(sz[i])); REP(i,m) scanf("%d",&(bin[i])); sort(begin(bin),end(bin),greater<int>()); sort(begin(sz),end(sz),greater<int>()); m = min(m,n); REP(i,m) if (bin[i] < sz[n-1]){ m = i; break;} conf = 1 << n; } void genPack(UI bs){ p[0] = 0; int len = 1; REP(i,n){ UI s = sz[i]; for(int j=0, k=len; j<len; j++,k++) p[k] = p[j] + s; len *= 2; } REP(i,len) p[i] = (p[i] <= bs); } void ipZeta(){ /*REP(i,n){ UI mask = 1<<i; for(int j=conf-1, k=conf-1-mask; k>=0; j--, k--) p[j] += (j&mask)?p[k]:0; }*/ REP(i,n){ UI mask = 1<<i; for(int j=conf-1, jm=conf-1-mask; jm >= 0; (j-=mask), (jm-=mask)){ for(int k=0; k < mask; k++, j--, jm--) p[j] += p[jm]; } } } #define MOD 1000000007 void xInit(){ REP(i,conf) T[i] = 1; } void xMul(){ REP(i,conf) T[i] = (p[i] * T[i]) % MOD; } char sign[P_MAX]; void incExcInit(){ sign[0] = 1; int s = 1; REP(i,n){ for(int j=0, k=s; j<s; j++,k++) sign[k] = 1-sign[j]; s *= 2; } } int incExc(){ LL sol = 0; REP(i,conf){ /*int bits = __builtin_popcount(i); if (bits % 2) sol -= T[i]; else sol += T[i];*/ sol += sign[i]?T[i]:(-T[i]); } return ((sol%MOD) != 0); } int solve(){ xInit(); incExcInit(); int totSz = 0; int totBin = 0; REP(i,n) totSz += sz[i]; REP(i,m){ genPack(bin[i]); ipZeta(); xMul(); totBin += bin[i]; if (totBin >= totSz && incExc()) return (i+1); } return -1; } int main(int argc, char *argv[]){ readData(); int res = solve(); if (res == -1) printf("NIE\n"); else printf("%d\n",res); 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 | #include <vector> #include <iostream> #include <sstream> #include <math.h> #include <sys/time.h> #include <cstdlib> #include <algorithm> #include <cassert> #include <cstring> #include <fstream> #include <set> #define FOR(i,a,b) for(__typeof(b) i=(a);i<(b);++i) #define REP(i,a) FOR(i,0,a) #define FOREACH(x,c) for(__typeof(c.begin()) x=c.begin();x != c.end(); x++) #define ALL(c) c.begin(),c.end() #define CLEAR(c) memset(c,0,sizeof(c)) #define SIZE(c) (int) ((c).size()) #define PB push_back #define MP make_pair #define X first #define Y second #define ULL unsigned long long #define LL long long #define LD long double #define II pair<int, int> #define DD pair<double, double> #define VC vector #define VI VC<int> #define VVI VC<VI> #define VD VC<double> #define VS VC<string> #define VII VC<II> #define VDD VC<DD> #define UI unsigned int #define VUI VC<UI> #define DB(a) cerr << #a << ": " << a << endl; using namespace std; template<class T> void print(VC < T > v) {cerr << "[";if (SIZE(v) != 0) cerr << v[0]; FOR(i, 1, SIZE(v)) cerr << "," << v[i]; cerr << "]\n";} template<class T> string i2s(T &x) { ostringstream o; o << x; return o.str(); } VS split(string &s, char c = ' ') {VS all; int p = 0, np; while (np = s.find(c, p), np >= 0) {if (np != p) all.PB(s.substr(p, np - p)); p = np + 1;} if (p < SIZE(s)) all.PB(s.substr(p)); return all;} int n,m; int conf; int sz[24]; int bin[100]; // 2^24 #define P_MAX 16777216 UI p[P_MAX]; LL T[P_MAX]; void readData(){ scanf("%d%d",&n,&m); REP(i,n) scanf("%d",&(sz[i])); REP(i,m) scanf("%d",&(bin[i])); sort(begin(bin),end(bin),greater<int>()); sort(begin(sz),end(sz),greater<int>()); m = min(m,n); REP(i,m) if (bin[i] < sz[n-1]){ m = i; break;} conf = 1 << n; } void genPack(UI bs){ p[0] = 0; int len = 1; REP(i,n){ UI s = sz[i]; for(int j=0, k=len; j<len; j++,k++) p[k] = p[j] + s; len *= 2; } REP(i,len) p[i] = (p[i] <= bs); } void ipZeta(){ /*REP(i,n){ UI mask = 1<<i; for(int j=conf-1, k=conf-1-mask; k>=0; j--, k--) p[j] += (j&mask)?p[k]:0; }*/ REP(i,n){ UI mask = 1<<i; for(int j=conf-1, jm=conf-1-mask; jm >= 0; (j-=mask), (jm-=mask)){ for(int k=0; k < mask; k++, j--, jm--) p[j] += p[jm]; } } } #define MOD 1000000007 void xInit(){ REP(i,conf) T[i] = 1; } void xMul(){ REP(i,conf) T[i] = (p[i] * T[i]) % MOD; } char sign[P_MAX]; void incExcInit(){ sign[0] = 1; int s = 1; REP(i,n){ for(int j=0, k=s; j<s; j++,k++) sign[k] = 1-sign[j]; s *= 2; } } int incExc(){ LL sol = 0; REP(i,conf){ /*int bits = __builtin_popcount(i); if (bits % 2) sol -= T[i]; else sol += T[i];*/ sol += sign[i]?T[i]:(-T[i]); } return ((sol%MOD) != 0); } int solve(){ xInit(); incExcInit(); int totSz = 0; int totBin = 0; REP(i,n) totSz += sz[i]; REP(i,m){ genPack(bin[i]); ipZeta(); xMul(); totBin += bin[i]; if (totBin >= totSz && incExc()) return (i+1); } return -1; } int main(int argc, char *argv[]){ readData(); int res = solve(); if (res == -1) printf("NIE\n"); else printf("%d\n",res); return 0; } |