結果

問題 No.1631 Sorting Integers (Multiple of K) Easy
ユーザー leaf_1415leaf_1415
提出日時 2021-07-30 22:43:50
言語 C++11
(gcc 11.4.0)
結果
AC  
実行時間 2,673 ms / 3,000 ms
コード長 8,073 bytes
コンパイル時間 1,106 ms
コンパイル使用メモリ 112,560 KB
実行使用メモリ 87,320 KB
最終ジャッジ日時 2023-10-14 06:56:47
合計ジャッジ時間 38,333 ms
ジャッジサーバーID
(参考情報)
judge12 / judge15
このコードへのチャレンジ(β)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
4,348 KB
testcase_01 AC 2 ms
4,376 KB
testcase_02 AC 2 ms
4,352 KB
testcase_03 AC 3 ms
4,476 KB
testcase_04 AC 2 ms
4,352 KB
testcase_05 AC 2 ms
4,432 KB
testcase_06 AC 2 ms
4,376 KB
testcase_07 AC 2 ms
4,376 KB
testcase_08 AC 2 ms
4,352 KB
testcase_09 AC 2 ms
4,372 KB
testcase_10 AC 2 ms
4,352 KB
testcase_11 AC 2 ms
4,372 KB
testcase_12 AC 2 ms
4,348 KB
testcase_13 AC 2 ms
4,436 KB
testcase_14 AC 2,059 ms
25,284 KB
testcase_15 AC 2,673 ms
87,264 KB
testcase_16 AC 2,650 ms
87,320 KB
testcase_17 AC 2,596 ms
86,632 KB
testcase_18 AC 2,600 ms
86,964 KB
testcase_19 AC 2,617 ms
85,836 KB
testcase_20 AC 1,249 ms
6,312 KB
testcase_21 AC 1,466 ms
7,316 KB
testcase_22 AC 1,080 ms
4,892 KB
testcase_23 AC 1,646 ms
18,672 KB
testcase_24 AC 1,405 ms
8,500 KB
testcase_25 AC 1,613 ms
21,056 KB
testcase_26 AC 1,004 ms
4,528 KB
testcase_27 AC 2,373 ms
51,004 KB
testcase_28 AC 2,286 ms
31,688 KB
testcase_29 AC 1,849 ms
16,880 KB
testcase_30 AC 2,197 ms
38,440 KB
testcase_31 AC 2,432 ms
72,676 KB
権限があれば一括ダウンロードができます

ソースコード

diff #

#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <cstdlib>
#include <cassert>
#include <vector>
#include <list>
#include <stack>
#include <queue>
#include <deque>
#include <map>
#include <set>
#include <bitset>
#include <string>
#include <algorithm>
#include <utility>
#include <complex>
#include <unordered_set>
#include <unordered_map>
#define rep(x, s, t) for(llint x = (s); (x) <= (t); (x)++)
#define per(x, s, t) for(llint x = (s); (x) >= (t); (x)--)
#define reps(x, s) for(llint x = 0; (x) < (llint)(s).size(); (x)++)
#define chmin(x, y) (x) = min((x), (y))
#define chmax(x, y) (x) = max((x), (y))
#define sz(x) ((ll)(x).size())
#define ceil(x, y) (((x)+(y)-1) / (y))
#define all(x) (x).begin(),(x).end()
#define outl(...) dump_func(__VA_ARGS__)
#define outf(x) cout << fixed << setprecision(16) << (x) << endl
#define inf 1e18

using namespace std;

typedef long long llint;
typedef long long ll;
typedef pair<ll, ll> P;

struct edge{
	ll to, cost;
	edge(){}
	edge(ll a, ll b){ to = a, cost = b;}
};
const ll dx[] = {1, 0, -1, 0}, dy[] = {0, -1, 0, 1};

const ll mod = 1000000007;
//const ll mod = 998244353;

struct mint{
	ll x = 0;
	mint(ll y = 0){x = y; if(x < 0 || x >= mod) x = (x%mod+mod)%mod;}
	mint(const mint &ope) {x = ope.x;}
	
	mint operator-(){return mint(-x);}
	mint operator+(const mint &ope){return mint(x) += ope;}
	mint operator-(const mint &ope){return mint(x) -= ope;}
	mint operator*(const mint &ope){return mint(x) *= ope;}
	mint operator/(const mint &ope){return mint(x) /= ope;}
	mint& operator+=(const mint &ope){
		x += ope.x;
		if(x >= mod) x -= mod;
		return *this;
	}
	mint& operator-=(const mint &ope){
		x += mod - ope.x;
		if(x >= mod) x -= mod;
		return *this;
	}
	mint& operator*=(const mint &ope){
		x *= ope.x, x %= mod;
		return *this;
	}
	mint& operator/=(const mint &ope){
		ll n = mod-2; mint mul = ope;
		while(n){
			if(n & 1) *this *= mul;
			mul *= mul;
			n >>= 1;
		}
		return *this;
	}
	mint inverse(){return mint(1) / *this;}
	bool operator ==(const mint &ope){return x == ope.x;}
	bool operator !=(const mint &ope){return x != ope.x;}
	bool operator <(const mint &ope){return x < ope.x;}
};
mint modpow(mint a, ll n){
	if(n == 0) return mint(1);
	if(n % 2) return a * modpow(a, n-1);
	else return modpow(a*a, n/2);
}
istream& operator >>(istream &is, mint &ope){
	ll t; is >> t, ope.x = t;
	return is;
}
ostream& operator <<(ostream &os, mint &ope){return os << ope.x;}
ostream& operator <<(ostream &os, const mint &ope){return os << ope.x;}

vector<mint> fact, fact_inv;
void make_fact(int n){
	fact.resize(n+1), fact_inv.resize(n+1);
	fact[0] = mint(1); rep(i, 1, n) fact[i] = fact[i-1] * mint(i);
	fact_inv[n] = fact[n].inverse(); per(i, n-1, 0) fact_inv[i] = fact_inv[i+1] * mint(i+1);
}
mint comb(ll n, ll k){ if(n < 0 || k < 0 || n < k) return mint(0); return fact[n] * fact_inv[k] * fact_inv[n-k];}
mint perm(ll n, ll k){ return comb(n, k) * fact[k]; }

vector<int> prime, pvec;
void make_prime(int n){
	prime.resize(n+1);
	rep(i, 2, n){
		if(prime[i]) continue;
		for(int j = i; j <= n; j+=i) prime[j] = i;
	}
	rep(i, 2, n) if(prime[i] == i) pvec.push_back(i);
}

bool exceed(ll x, ll y, ll m){return x >= m / y + 1;}
void mark(){ cout << "*" << endl; }
void yes(){ cout << "YES" << endl; }
void no(){ cout << "NO" << endl; }
ll sgn(ll x){ if(x > 0) return 1; if(x < 0) return -1; return 0;}
ll gcd(ll a, ll b){if(b == 0) return a; return gcd(b, a%b);}
ll lcm(ll a, ll b){return a/gcd(a, b)*b;}
ll digitnum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret++; return ret;}
ll digitsum(ll x, ll b = 10){ll ret = 0; for(; x; x /= b) ret += x % b; return ret;}
string lltos(ll x){string ret; for(;x;x/=10) ret += x % 10 + '0'; reverse(ret.begin(), ret.end()); return ret;}
ll stoll(string &s){ll ret = 0; for(auto c : s) ret *= 10, ret += c - '0'; return ret;}
template<typename T>
void uniq(T &vec){ sort(vec.begin(), vec.end()); vec.erase(unique(vec.begin(), vec.end()), vec.end());}

template<class S, class T> pair<S, T>& operator+=(pair<S,T> &s, const pair<S,T> &t){
	s.first += t.first, s.second += t.second;
	return s;
}
template<class S, class T> pair<S, T>& operator-=(pair<S,T> &s, const pair<S,T> &t){
	s.first -= t.first, s.second -= t.second;
	return s;
}
template<class S, class T> pair<S, T> operator+(const pair<S,T> &s, const pair<S,T> &t){
	return pair<S,T>(s.first+t.first, s.second+t.second);
}
template<class S, class T> pair<S, T> operator-(const pair<S,T> &s, const pair<S,T> &t){
	return pair<S,T>(s.first-t.first, s.second-t.second);
}
template<typename T>
ostream& operator << (ostream& os, vector<T>& vec) {
	for(int i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " ");
	return os;
}
template<typename T>
ostream& operator << (ostream& os, deque<T>& deq) {
	for(int i = 0; i < deq.size(); i++) os << deq[i] << (i + 1 == deq.size() ? "" : " ");
	return os;
}
template<typename T, typename U>
ostream& operator << (ostream& os, pair<T, U>& pair_var) {
	os << "(" << pair_var.first << ", " << pair_var.second << ")";
	return os;
}
template<typename T, typename U>
ostream& operator << (ostream& os, const pair<T, U>& pair_var) {
	os << "(" << pair_var.first << ", " << pair_var.second << ")";
	return os;
}
template<typename T, typename U>
ostream& operator << (ostream& os, map<T, U>& map_var) {
	for(typename map<T, U>::iterator itr = map_var.begin(); itr != map_var.end(); itr++) {
		os << "(" << itr->first << ", " << itr->second << ")";
		itr++; if(itr != map_var.end()) os << ","; itr--;
	}
	return os;
}
template<typename T>
ostream& operator << (ostream& os, set<T>& set_var) {
	for(typename set<T>::iterator itr = set_var.begin(); itr != set_var.end(); itr++) {
		os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--;
	}
	return os;
}
template<typename T>
ostream& operator << (ostream& os, multiset<T>& set_var) {
	for(typename multiset<T>::iterator itr = set_var.begin(); itr != set_var.end(); itr++) {
		os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--;
	}
	return os;
}
template<typename T>
void outa(T a[], ll s, ll t){for(ll i = s; i <= t; i++){ cout << a[i]; if(i < t) cout << " ";}cout << endl;}
void dump_func(){cout << endl;}
template <class Head, class... Tail>
void dump_func(Head &&head, Tail &&... tail) {
	cout << head;
	if(sizeof...(Tail) > 0) cout << " ";
	dump_func(std::move(tail)...);
}


ll n, k;
ll c[10], beki[20];
vector<ll> cvec;
vector<P> lvec[1<<14], rvec[1<<14];

void make(ll l, ll r, vector<P> vec[])
{
	ll m = r-l+1;
	int comb = (1<<m) - 1;
	while(comb < 1<<n){
		
		vector<ll> bvec, perm;
		rep(j, 0, n-1) if(comb & (1<<j)) bvec.push_back(j);
		rep(j, l, r) perm.push_back(j);
		
		vector<ll> tmp;
		do{
			ll sum = 0;
			reps(i, perm) sum += cvec[perm[i]] * beki[bvec[i]];
			tmp.push_back(sum % k);
		}while(next_permutation(all(perm)));
		sort(all(tmp));
		
		ll pre = tmp[0], cnt = 1;
		rep(i, 1, sz(tmp)-1){
			if(pre != tmp[i]){
				vec[comb].push_back(P(pre, cnt));
				cnt = 1;
			}
			else cnt++;
			pre = tmp[i];
		}
		vec[comb].push_back(P(pre, cnt));
		
		int x = comb & -comb, y = comb + x;
		comb = ((comb & ~y) / x >> 1) | y;
	}
}

int main(void)
{
	ios::sync_with_stdio(0);
	cin.tie(0);
	
	cin >> n >> k;
	rep(i, 1, 9) cin >> c[i];
	rep(i, 1, 9) rep(j, 1, c[i]) cvec.push_back(i);
	
	beki[0] = 1;
	rep(i, 1, 15) beki[i] = beki[i-1] * 10;
	
	if(n == 1){
		if(cvec[0] % k == 0) outl(1);
		else outl(0);
		return 0;
	}
	
	ll N = 1<<n;
	make(0, n/2-1, lvec);
	make(n/2, n-1, rvec);
	
	ll ans = 0;
	rep(i, 0, N-1){
		ll ni = N-1-i;
		if(rvec[ni].size() == 0) continue;
		if(rvec[ni][0].first == 0){
			rvec[ni].push_back(P(k, rvec[ni][0].second));
			rvec[ni].erase(rvec[ni].begin());
		}
		
		//outl(lvec[i]);
		//outl(rvec[ni]);
		
		ll p = sz(rvec[ni])-1;
		reps(j, lvec[i]){
			ll np = k - lvec[i][j].first;
			while(p > 0 && rvec[ni][p].first > np) p--;
			if(rvec[ni][p].first == np) ans += rvec[ni][p].second * lvec[i][j].second;
		}
	}
	
	ll div = 1;
	rep(i, 1, 9) rep(j, 1, c[i]) div *= j;
	
	ans /= div;
	outl(ans);
	
	return 0;
}
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