結果

問題 No.774 tatyamと素数大富豪
ユーザー 👑 tatyam
提出日時 2018-12-22 00:02:34
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
WA  
(最新)
AC  
(最初)
実行時間 -
コード長 4,699 bytes
コンパイル時間 3,103 ms
コンパイル使用メモリ 225,852 KB
最終ジャッジ日時 2025-01-06 19:46:27
ジャッジサーバーID
（参考情報） 		judge2 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 5
other AC * 13 WA * 1
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ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;
#define rep(a) for(int i=0;i<a;i++)

ostream &operator<<(ostream &dest, __uint128_t value) {
    ostream::sentry s(dest);
    if (s) {
        char buffer[128];
        char *d = end(buffer);
        do {
            --d;
            *d = "0123456789"[value % 10];
            value /= 10;
        } while (value != 0);
        int len = end(buffer) - d;
        if (dest.rdbuf()->sputn(d, len) != len) {
            dest.setstate(ios_base::badbit);
        }
    }
    return dest;
}
__uint128_t bigMul(__uint128_t a,__uint128_t b,__uint128_t m){
    __uint128_t a_low=a&0xffffffffffffffff,a_high=a>>64,b_low=b&0xffffffffffffffff,b_high=b>>64,result;
    result=a_high*b_high%m;
    rep(64)result=result*2%m;
    result=(result+a_low*b_high+b_low*a_high)%m;
    rep(64)result=result*2%m;
    result=(result+a_low*b_low)%m;
    return result;
}
__uint128_t bigPowMod(__uint128_t n, __uint128_t p, __uint128_t m){
    __uint128_t ans = 1, ln = n;
    if(p <= 0) return 1;
    while(p != 0){
        if((p & 1) == 1) ans = bigMul(ans, ln, m);
        ln = bigMul(ln, ln, m);
        p = p >> 1;
    }
    return ans;
}
bool suspect(int a, int s, __uint128_t d, __uint128_t n) {
    __uint128_t x = bigPowMod(a, d, n);
    if (x == 1)return true;
    for (int r = 0; r < s; ++r) {
        if (x == n - 1)return true;
        x = bigMul(x, x, n);
    }
    return false;
}
const vector<int>test={2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97};
bool MillerRabin(__uint128_t n){
    if(n<=100){
        for(auto&i:test)if(i==n)return true;
        return false;
    }
    if(n%2==0)return false;
    __uint128_t d = n - 1;
    int s = 0;
    while (d%2==0){
        s++;
        d /= 2;
    }
    for(auto&i:test)if(!suspect(i, s, d, n))return false;
    return true;
}



priority_queue<tuple<string,__uint128_t,vector<int>,bool>,vector<tuple<string,__uint128_t,vector<int>,bool>>,greater<tuple<string,__uint128_t,vector<int>,bool>>>q;
set<pair<string,vector<int>>>s;
bool check(string num,__uint128_t num_i,vector<int>& cards){
    if(s.count({num,cards}))return false;
    s.insert({num,cards});
    if(accumulate(cards.begin(),cards.begin()+10,0)==0){
        if(accumulate(cards.begin()+10,cards.end(),0)==0)return true;
        if((int(num_i%11)-cards[10]+cards[12]+cards[13]*2+11)%11==0)return false;
    }
    bool flag=false;
    for(int i=1;i<14;i+=2)if(i!=5&&cards[i]){
        flag=true;
        break;
    }
    return flag;
}
string to_s(int a){
    string s=to_string(a);
    for(char&i:s)i='0'+('9'-i);
    return s;
}
signed main(){
    int n;
    cin>>n;
    if(n==1){
        int a;
        cin>>a;
        if(MillerRabin(a)){
            cout<<a<<endl;
            return 0;
        }
        return puts("-1")&0;
    }
    vector<int>cards(14);
    vector<int>a(n);
    rep(n)cin>>a[i];
    if(accumulate(a.begin(),a.end(),0)%3==0)return puts("-1")&0;
    rep(n)cards[a[i]]++;
    q.push({"",0,cards,false});
    while(!q.empty()){
        string num=get<0>(q.top());
        __uint128_t num_i=get<1>(q.top());
        vector<int>cards=get<2>(q.top());
        bool one=get<3>(q.top()),flag=true;
        q.pop();
        for(int i=2;i<14;i++){
            if(i==11){
                if(one)continue;
                if(cards[1]){
                    string num2=num;
                    __uint128_t num_i2=num_i;
                    int one=cards[1],eleven=cards[11];
                    while(cards[1]||cards[11]){
                        flag=false;
                        num_i2=num_i2*10+1;
                        num2+=to_s(1);
                        if(one!=cards[1]&&cards[11]){
                            cards[1]++;
                            cards[11]--;
                        }
                        else cards[1]--;
                        if(check(num2,num_i2,cards))q.push({num2,num_i2,cards,true});
                    }
                    cards[1]=one;
                    cards[11]=eleven;
                }
                else if(cards[11]){
                    flag=false;
                    cards[i]--;
                    if(check(num+to_s(i),num_i*(i<10?10:100)+i,cards))q.push({num+to_s(i),num_i*(i<10?10:100)+i,cards,false});
                    cards[i]++;
                }
            }
            if(cards[i]){
                flag=false;
                cards[i]--;
                if(check(num+to_s(i),num_i*(i<10?10:100)+i,cards))q.push({num+to_s(i),num_i*(i<10?10:100)+i,cards,false});
                cards[i]++;
            }
        }
        if(flag&&MillerRabin(num_i)){
            cout<<num_i<<endl;
            return 0;
        }
    }
    cout<<-1<<endl;
}
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