#691414 (C++14) No.1652 XOR Inequalities

提出ソース

結果

問題	No.1652 XOR Inequalities
ユーザー	mtsd
提出日時	2021-08-20 23:00:42
言語	C++14 (gcc 12.3.0 + boost 1.83.0)
結果	WA
実行時間	-
コード長	10,618 bytes
コンパイル時間	1,870 ms
コンパイル使用メモリ	176,176 KB
実行使用メモリ	6,824 KB
最終ジャッジ日時	2024-10-14 06:13:08
合計ジャッジ時間	6,564 ms
ジャッジサーバーID （参考情報）	judge3 / judge2

このコードへのチャレンジ
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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 6,820 KB
testcase_01	AC	2 ms 6,816 KB
testcase_02	AC	2 ms 6,816 KB
testcase_03	WA	-
testcase_04	AC	2 ms 6,816 KB
testcase_05	AC	2 ms 6,816 KB
testcase_06	WA	-
testcase_07	WA	-
testcase_08	WA	-
testcase_09	WA	-
testcase_10	AC	2 ms 6,816 KB
testcase_11	WA	-
testcase_12	AC	2 ms 6,816 KB
testcase_13	WA	-
testcase_14	WA	-
testcase_15	AC	2 ms 6,820 KB
testcase_16	WA	-
testcase_17	WA	-
testcase_18	WA	-
testcase_19	WA	-
testcase_20	AC	2 ms 6,820 KB
testcase_21	WA	-
testcase_22	WA	-
testcase_23	WA	-
testcase_24	WA	-
testcase_25	AC	2 ms 6,816 KB
testcase_26	WA	-
testcase_27	WA	-
testcase_28	WA	-
testcase_29	WA	-
testcase_30	AC	2 ms 6,820 KB
testcase_31	WA	-
testcase_32	WA	-
testcase_33	AC	2 ms 6,816 KB
testcase_34	AC	2 ms 6,816 KB
testcase_35	AC	2 ms 6,820 KB
testcase_36	AC	2 ms 6,816 KB
testcase_37	AC	2 ms 6,816 KB
testcase_38	AC	2 ms 6,816 KB
testcase_39	AC	2 ms 6,820 KB
testcase_40	AC	2 ms 6,816 KB
testcase_41	AC	2 ms 6,820 KB
testcase_42	AC	2 ms 6,820 KB
testcase_43	AC	2 ms 6,820 KB
testcase_44	AC	2 ms 6,820 KB
testcase_45	AC	2 ms 6,820 KB
testcase_46	AC	2 ms 6,820 KB
testcase_47	AC	2 ms 6,816 KB
testcase_48	AC	2 ms 6,820 KB
testcase_49	AC	2 ms 6,820 KB
testcase_50	AC	2 ms 6,816 KB
testcase_51	AC	2 ms 6,820 KB
testcase_52	AC	2 ms 6,816 KB
testcase_53	WA	-
testcase_54	WA	-
testcase_55	WA	-

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ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define inf 1000000007
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define fi first
#define se second
#define rep(i,n) for(int i = 0; i < (int)(n); ++i)
#define rrep(i,n) for(int i = (int)n-1; i >= 0; --i)
#define srep(i,a,b) for(int i = (int)a; i < (int)(b); ++i)
#define all(x) (x).begin(),(x).end()
#define SUM(v) accumulate(all(v), 0LL)
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())
#define SZ(c) (int)(c).size()
template<typename T>
ostream& operator << (ostream& os, vector<T>& vec) {
    os << "{";
    for (int i = 0; i<(int)vec.size(); i++) {
        os << vec[i] << (i + 1 == (int)vec.size() ? "" : ", ");
    }
    os << "}";
    return os;
}
// pair出力
template<typename T, typename U>
ostream& operator << (ostream& os, pair<T, U> pair_var) {
    os << "(" << pair_var.first << ", " << pair_var.second << ")";
    return os;
}
// map出力
template<typename T, typename U>
ostream& operator << (ostream& os, map<T, U>& map_var) {
    os << "{";
    for(auto itr = map_var.begin(); itr != map_var.end(); itr++){
        os << "(" << itr->first << ", " << itr->second << ")";
        itr++;
        if(itr != map_var.end()) os << ", ";
        itr--;
    }
    os << "}";
    return os;
}
// set 出力
template<typename T>
ostream& operator << (ostream& os, set<T>& set_var) {
    os << "{";
    for(auto itr = set_var.begin(); itr != set_var.end(); itr++){
        os << (*itr);
        ++itr;
        if(itr != set_var.end()) os << ", ";
        itr--;
    }
    os << "}";
    return os;
}
#define overload2(_1, _2, name, ...) name
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define VEC(type, name, size)                                                                                                                                  \
    vector<type> name(size);                                                                                                                                   \
    IN(name)
#define vv(type, name, h, ...) vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define VV(type, name, h, w)                                                                                                                                   \
    vector<vector<type>> name(h, vector<type>(w));                                                                                                             \
    IN(name)
#define vvv(type, name, h, w, ...) vector<vector<vector<type>>> name(h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...)                                                                                                                         \
    vector<vector<vector<vector<type>>>> name(a, vector<vector<vector<type>>>(b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
#define INT(...)                                                                                                                                               \
    int __VA_ARGS__;                                                                                                                                           \
    IN(__VA_ARGS__)
#define LL(...)                                                                                                                                                \
    ll __VA_ARGS__;                                                                                                                                            \
    IN(__VA_ARGS__)
#define STR(...)                                                                                                                                               \
    string __VA_ARGS__;                                                                                                                                        \
    IN(__VA_ARGS__)
#define CHR(...)                                                                                                                                               \
    char __VA_ARGS__;                                                                                                                                          \
    IN(__VA_ARGS__)
#define DBL(...)                                                                                                                                               \
    double __VA_ARGS__;                                                                                                                                        \
    IN(__VA_ARGS__)
int scan() { return getchar(); }
void scan(int &a) { cin >> a; }
void scan(long long &a) { cin >> a; }
void scan(char &a) { cin >> a; }
void scan(double &a) { cin >> a; }
void scan(string &a) { cin >> a; }
template <class T, class S> void scan(pair<T, S> &p) { scan(p.first), scan(p.second); }
template <class T> void scan(vector<T> &);
template <class T> void scan(vector<T> &a) {
    for(auto &i : a) scan(i);
}
template <class T> void scan(T &a) { cin >> a; }
void IN() {}
template <class Head, class... Tail> void IN(Head &head, Tail &...tail) {
    scan(head);
    IN(tail...);
}
const string YESNO[2] = {"NO", "YES"};
const string YesNo[2] = {"No", "Yes"};
const string yesno[2] = {"no", "yes"};
void YES(bool t = 1) { cout << YESNO[t] << endl; }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { cout << YesNo[t] << endl; }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { cout << yesno[t] << endl; }
void no(bool t = 1) { yes(!t); }
#ifdef LOCAL
void debug_out() { cerr << endl; }
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
    cerr << " " << H;
    debug_out(T...);
}
#define dbg(...) \
    cerr << __LINE__ << " [" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl
#else
#define dbg(...) (void(0))
#define dump(x) (void(0))
#endif
template<typename A, size_t N, typename T>
void Fill(A (&array)[N], const T &val){
    std::fill( (T*)array, (T*)(array+N), val );
}
template <class T> T ceil(T x, T y) {assert(y >= 1);return (x > 0 ? (x + y - 1) / y : x / y);}
template <class T> T floor(T x, T y) {assert(y >= 1);return (x > 0 ? x / y : (x + y - 1) / y);}
vector<int> iota(int n) {vector<int> a(n);iota(all(a), 0);return a;}
template <class T> T POW(T x, int n) {T res = 1;for(; n; n >>= 1, x *= x){if(n & 1) res *= x;}return res;}
ll pow2(int i) { return 1LL << i; }
int topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
int topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
int lowbit(signed a) { return a == 0 ? 32 : __builtin_ctz(a); }
int lowbit(ll a) { return a == 0 ? 64 : __builtin_ctzll(a); }
// int allbit(int n) { return (1 << n) - 1; }
ll allbit(ll n) { return (1LL << n) - 1; }
int popcount(signed t) { return __builtin_popcount(t); }
int popcount(ll t) { return __builtin_popcountll(t); }
bool ispow2(int i) { return i && (i & -i) == i; }


template <class S> void fold_in(vector<S> &v) {}
template <typename Head, typename... Tail, class S> void fold_in(vector<S> &v, Head &&a, Tail &&...tail) {
    for(auto e : a) v.emplace_back(e);
    fold_in(v, tail...);
}
template <class S> void renumber(vector<S> &v) {}
template <typename Head, typename... Tail, class S> void renumber(vector<S> &v, Head &&a, Tail &&...tail) {
    for(auto &&e : a) e = lb(v, e);
    renumber(v, tail...);
}
template <class S, class... Args> void zip(vector<S> &head, Args &&...args) {
    vector<S> v;
    fold_in(v, head, args...);
    sort(all(v)), v.erase(unique(all(v)), v.end());
    renumber(v, head, args...);
}
template<class T> inline bool chmax(T &a, T b){
    if(a<b){
        a = b;
        return true;
    }
    return false;
}
template<class T> inline bool chmin(T &a, T b){
    if(a>b){
        a = b;
        return true;
    }
    return false;
}
bool flag[257];
int main(){
    INT(n);
    n = 1<<n;
    VEC(int,a,n);
    if(a[0]==-1){
        int p = allbit(30);
        rep(i,n){
            if(a[i]!=-1){
                p &= a[i];
            }
        }
        if(p==0){
            a[0] = 0;
        }else{
            int k = topbit(p);
            a[0] = (1<<k);
        }
    }
    dbg(a);
    bool ng = 0;
    vector<int>b(n);
    unsigned int mask = 0;
    if(a[0]!=0){
        mask = allbit(topbit(a[0])+1);
        dbg(mask);
        dbg(~mask);
        rep(i,n){
            if(a[i]==-1){
                b[i] = -1;
            }else{
                b[i] = a[i]&(~mask);
            }
        }
        rep(i,n){
            if(a[i]!=-1){
                if((a[i]>>(topbit(a[0])))&1){

                }else{
                    ng = 1;
                }
            }
        }
    }else{
        rep(i,n){
            if(a[i]==-1){
                b[i] = -1;
            }else{
                b[i] = a[i];
            }
        }
    }
    dbg(b);
    auto dfs = [&](auto &&f,int k)->void{
        rep(i,n){
            if(b[i]!=-1){
                if(b[i^k]==-1){
                    if(b[i]==b[k])continue;
                    b[i^k] = b[i]^b[k];
                    f(f,i^k);
                }else{
                    if(b[i^k]<(b[i]^b[k])){
                        ng = 1;
                        break;
                    }
                }
            }
        }
    };
    for(int i=1;i<n;i++){
        if(b[i]==-1)continue;
        dfs(dfs,i);
    }
    for(int i=1;i<n;i++){
        if(b[i]==-1){
            b[i] = 0;
            dfs(dfs,i);
        }
    }
    if(ng){
        // rep(i,n){
        //     rep(j,n){
        //         if(a[i^j] < (a[i]^a[j])){
        //             cerr << "error:" << i << " " << j << " " << (i^j) << endl;
        //         }
        //     }
        // }
        No();
    }else{
        rep(i,n){
            if(a[i]==-1){
                if(b[i]!=-1){
                    a[i] = b[i];
                }else{
                    a[i] = 0;
                }
                if(a[0]!=0){
                    a[i]^=a[0];
                }
            }
        }
        dbg(a);
        rep(i,n){
            rep(j,n){
                if(a[i^j] < (a[i]^a[j])){
                    assert(0);
                }
            }
        }
        Yes();
        rep(i,n){
            cout << a[i] << " ";
        }
        cout << endl;
    }
    return 0;
}

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結果

テストケース

ソースコード