#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
random_device(rd);
mt19937 rng(rd());
const long long FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
struct custom_hash
{
template<class T>
unsigned long long operator()(T v) const
{
unsigned long long x = v;
x += FIXED_RANDOM;
// x += 11400714819323198485ull;
// x = (x ^ (x >> 30)) * 13787848793156543929ull;
x = (x ^ (x >> 27)) * 10723151780598845931ull;
return x ^ (x >> 31);
}
};
template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T, class U> using hash_table = gp_hash_table<T, U, custom_hash>;
template<class T>
T randomize(T mod)
{
return (uniform_int_distribution<T>(0, mod - 1))(rng);
}
template<class T>
void readi(T &x)
{
x = 0;
bool negative = false;
char c = ' ';
while (c < '-')
{
c = getchar();
}
if (c == '-')
{
negative = true;
c = getchar();
}
while (c >= '0')
{
x = x * 10 + (c - '0');
c = getchar();
}
if (negative)
{
x = -x;
}
}
template<class T>
void printi(T output)
{
if (output == 0)
{
putchar('0');
return;
}
if (output < 0)
{
putchar('-');
output = -output;
}
int buf[20], n = 0;
while(output)
{
buf[n] = ((output % 10));
output /= 10;
n++;
}
for (n--; n >= 0; n--)
{
putchar(buf[n] + '0');
}
return;
}
template<class T>
void ckmin(T &a, T b)
{
a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
a = max(a, b);
}
long long expo(long long a, long long e, long long mod)
{
return ((e == 0) ? 1 : ((expo(a * a % mod, e >> 1, mod)) * ((e & 1) ? a : 1) % mod));
}
template<class T, class U>
void nmod(T &x, U mod)
{
if (x >= mod) x -= mod;
}
template<class T>
T gcd(T a, T b)
{
return (b ? gcd(b, a % b) : a);
}
#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define DBG(x) cerr << #x << " = " << (x) << endl
#define SZ(x) ((int) ((x).size()))
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)
#define ALL(x) (x).begin(), (x).end()
const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-9;
#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 20
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<ld> vd;
typedef vector<pii> vpi;
typedef vector<pll> vpl;
typedef vector<pdd> vpd;
int N, M;
int A[MAXN], B[MAXN];
int sB[(1 << MAXN)];
bitset<(1 << MAXN)> ok, cur, temp;
int32_t main()
{
ios_base::sync_with_stdio(0); cin.tie(0);
// cout << fixed << setprecision(10);
// cerr << fixed << setprecision(10);
// if (fopen("file.in", "r"))
// {
// freopen ("file.in", "r", stdin);
// freopen ("file.out", "w", stdout);
// }
cin >> N >> M;
if (N > M)
{
cout << "NO\n";
return 0;
}
FOR(i, 0, N)
{
cin >> A[i];
}
sort(A, A + N);
FOR(i, 0, M)
{
cin >> B[i];
}
sort(B, B + M);
FOR(mask, 1, (1 << M))
{
FOR(i, 0, M)
{
if (mask & (1 << i))
{
sB[mask] = sB[mask ^ (1 << i)] + B[i];
if (N == 1 && sB[mask] == A[0])
{
cout << "YES\n";
return 0;
}
}
}
}
if (N == 1)
{
cout << "NO\n";
return 0;
}
ok.set();
FOR(i, 0, N)
{
cur.reset();
temp.reset();
FOR(mask, 0, (1 << M))
{
if (sB[mask] == A[i])
{
cur[mask] = true;
}
}
FOR(mask, 0, (1 << M))
{
for (int j = mask; ; j = mask & (j - 1))
{
if (ok[mask] && cur[j])
{
temp[mask ^ j] = true;
}
if (j == 0) break;
}
}
ok = temp;
// FOR(i, 0, (1 << M))
// {
// cerr << ok[i];
// }
// cerr << endl;
}
cout << (ok[0] ? "YES" : "NO") << '\n';
//A[mask] actually stores, can u have superset of mask?
//B[j] stores, can u take subset of j?
// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
return 0;
}
/* READ READ READ
* int overflow, maxn too small, special cases (n=1?, two distinct?), cin.tie() interactive
* reread the problem, try small cases
* note down possible sources of error as you go
* do smth instead of nothing
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
74 ms |
4468 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
3 ms |
376 KB |
Output is correct |
9 |
Correct |
74 ms |
4456 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
760 KB |
Output is correct |
2 |
Correct |
2 ms |
760 KB |
Output is correct |
3 |
Correct |
2 ms |
760 KB |
Output is correct |
4 |
Correct |
2 ms |
760 KB |
Output is correct |
5 |
Correct |
3 ms |
760 KB |
Output is correct |
6 |
Correct |
2 ms |
760 KB |
Output is correct |
7 |
Correct |
3 ms |
760 KB |
Output is correct |
8 |
Correct |
3 ms |
760 KB |
Output is correct |
9 |
Correct |
2 ms |
760 KB |
Output is correct |
10 |
Correct |
2 ms |
760 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
31 ms |
888 KB |
Output is correct |
2 |
Correct |
16 ms |
760 KB |
Output is correct |
3 |
Correct |
41 ms |
760 KB |
Output is correct |
4 |
Correct |
56 ms |
764 KB |
Output is correct |
5 |
Correct |
41 ms |
760 KB |
Output is correct |
6 |
Correct |
23 ms |
760 KB |
Output is correct |
7 |
Correct |
20 ms |
760 KB |
Output is correct |
8 |
Correct |
17 ms |
760 KB |
Output is correct |
9 |
Correct |
36 ms |
760 KB |
Output is correct |
10 |
Correct |
36 ms |
844 KB |
Output is correct |
11 |
Correct |
56 ms |
840 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
74 ms |
4468 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
3 ms |
376 KB |
Output is correct |
9 |
Correct |
74 ms |
4456 KB |
Output is correct |
10 |
Correct |
2 ms |
760 KB |
Output is correct |
11 |
Correct |
2 ms |
760 KB |
Output is correct |
12 |
Correct |
2 ms |
760 KB |
Output is correct |
13 |
Correct |
2 ms |
760 KB |
Output is correct |
14 |
Correct |
3 ms |
760 KB |
Output is correct |
15 |
Correct |
2 ms |
760 KB |
Output is correct |
16 |
Correct |
3 ms |
760 KB |
Output is correct |
17 |
Correct |
3 ms |
760 KB |
Output is correct |
18 |
Correct |
2 ms |
760 KB |
Output is correct |
19 |
Correct |
2 ms |
760 KB |
Output is correct |
20 |
Correct |
31 ms |
888 KB |
Output is correct |
21 |
Correct |
16 ms |
760 KB |
Output is correct |
22 |
Correct |
41 ms |
760 KB |
Output is correct |
23 |
Correct |
56 ms |
764 KB |
Output is correct |
24 |
Correct |
41 ms |
760 KB |
Output is correct |
25 |
Correct |
23 ms |
760 KB |
Output is correct |
26 |
Correct |
20 ms |
760 KB |
Output is correct |
27 |
Correct |
17 ms |
760 KB |
Output is correct |
28 |
Correct |
36 ms |
760 KB |
Output is correct |
29 |
Correct |
36 ms |
844 KB |
Output is correct |
30 |
Correct |
56 ms |
840 KB |
Output is correct |
31 |
Execution timed out |
1069 ms |
4832 KB |
Time limit exceeded |
32 |
Halted |
0 ms |
0 KB |
- |