#include <cstdio>
#include <algorithm>
#include <climits>
#include <functional>
#include <cstring>
int n, m;
int A[24], C[100];
int Sols[2];
int Sol[2][1250000][24];
inline int max(const int a, const int b) { return a > b ? a : b; }
inline void FFD() {
int c[24];
for( int i = 0; i < m; i++ )
c[i] = C[i];
int sol = 0;
for( int i = 0; i < n; i++ ) {
for( int j = 0; j <= m; j++ ) {
if( j == m )
return;
if( c[j] >= A[i] ) {
c[j] -= A[i];
if( j+1 > sol ) sol = j+1;
break;
}
}
}
if( sol < m )
m = sol;
}
int main() {
scanf("%d %d", &n, &m );
for( int i = 0; i < n; i++ )
scanf("%d", A+i );
for( int i = 0; i < m; i++ )
scanf("%d", C+i );
std::sort(A, A+n, std::greater<int>());
std::sort(C, C+m, std::greater<int>());
if( m > n )
m = n;
while( m > 0 and C[m-1] < A[n-1] )
m--;
std::sort(A, A+n);
FFD();
std::sort(A, A+n, std::greater<int>());
FFD();
int Asum = 0;
for( int i = 0; i < n; i++ )
Asum += A[i];
int M = m, Csum = 0;
for( m = 0; m < M and Csum < Asum; m++ ) Csum += C[m];
if( Csum < Asum ) {
puts("NIE");
return 0;
}
for( ; m <= M; m++ ) {
Sols[0] = 1;
for( int j = 0; j < m; j++ )
Sol[0][0][j] = 0;
for( int i = 0; i < n; i++ ) {
int N = Sols[i&1];
fprintf(stderr, "[n: %d, i:%d, m:%d]\n", N, i, m);
int& M = Sols[i&1^1];
int (*Prev)[24] = Sol[i&1];
int (*Next)[24] = Sol[i&1^1];
M = 0;
for( int k = 0; k < N; k++ ) {
for( int j = 0; j < m; j++ ) {
if( j > 0 and Prev[k][j] == Prev[k][j-1] )
continue;
for( int q = 0; q < m; q++ )
Next[M][q] = Prev[k][q];
Next[M][j] += A[i];
std::sort(Next[M], Next[M]+m, std::greater<int>());
for( int q = 0; q < m; q++ ) {
if( Next[M][q] > C[q] ) {
M--;
break;
}
}
M++;
if( M >= 1250000 ) {
printf("%d\n", m);
return 0;
}
}
}
}
if( Sols[n&1] != 0 )
break;
}
int i = n&1;
fprintf(stderr, "[n: %d]\n", Sols[i]);
if( Sols[i] == 0 ) {
puts("NIE");
return 0;
}
for( int k = 0; k < Sols[i]; k++ ) {
for( int j = 0; j < m; j++ ) {
if( Sol[i][k][j] == 0 )
m = j;
}
}
printf("%d\n", m );
}
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 | #include <cstdio> #include <algorithm> #include <climits> #include <functional> #include <cstring> int n, m; int A[24], C[100]; int Sols[2]; int Sol[2][1250000][24]; inline int max(const int a, const int b) { return a > b ? a : b; } inline void FFD() { int c[24]; for( int i = 0; i < m; i++ ) c[i] = C[i]; int sol = 0; for( int i = 0; i < n; i++ ) { for( int j = 0; j <= m; j++ ) { if( j == m ) return; if( c[j] >= A[i] ) { c[j] -= A[i]; if( j+1 > sol ) sol = j+1; break; } } } if( sol < m ) m = sol; } int main() { scanf("%d %d", &n, &m ); for( int i = 0; i < n; i++ ) scanf("%d", A+i ); for( int i = 0; i < m; i++ ) scanf("%d", C+i ); std::sort(A, A+n, std::greater<int>()); std::sort(C, C+m, std::greater<int>()); if( m > n ) m = n; while( m > 0 and C[m-1] < A[n-1] ) m--; std::sort(A, A+n); FFD(); std::sort(A, A+n, std::greater<int>()); FFD(); int Asum = 0; for( int i = 0; i < n; i++ ) Asum += A[i]; int M = m, Csum = 0; for( m = 0; m < M and Csum < Asum; m++ ) Csum += C[m]; if( Csum < Asum ) { puts("NIE"); return 0; } for( ; m <= M; m++ ) { Sols[0] = 1; for( int j = 0; j < m; j++ ) Sol[0][0][j] = 0; for( int i = 0; i < n; i++ ) { int N = Sols[i&1]; fprintf(stderr, "[n: %d, i:%d, m:%d]\n", N, i, m); int& M = Sols[i&1^1]; int (*Prev)[24] = Sol[i&1]; int (*Next)[24] = Sol[i&1^1]; M = 0; for( int k = 0; k < N; k++ ) { for( int j = 0; j < m; j++ ) { if( j > 0 and Prev[k][j] == Prev[k][j-1] ) continue; for( int q = 0; q < m; q++ ) Next[M][q] = Prev[k][q]; Next[M][j] += A[i]; std::sort(Next[M], Next[M]+m, std::greater<int>()); for( int q = 0; q < m; q++ ) { if( Next[M][q] > C[q] ) { M--; break; } } M++; if( M >= 1250000 ) { printf("%d\n", m); return 0; } } } } if( Sols[n&1] != 0 ) break; } int i = n&1; fprintf(stderr, "[n: %d]\n", Sols[i]); if( Sols[i] == 0 ) { puts("NIE"); return 0; } for( int k = 0; k < Sols[i]; k++ ) { for( int j = 0; j < m; j++ ) { if( Sol[i][k][j] == 0 ) m = j; } } printf("%d\n", m ); } |
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