Submission #73132337

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Source Code Expand

// #pragma GCC target("avx2")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
// #define INTERACTIVE

#include <bits/stdc++.h>
using namespace std;

namespace templates {
// type
using ll  = long long;
using ull = unsigned long long;
using ld  = long double;
using Pii = pair<int, int>;
using Pil = pair<int, ll>;
using Pli = pair<ll, int>;
using Pll = pair<ll, ll>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using qp = priority_queue<T, vector<T>, greater<T>>;
// clang-format off
#define vec(T, A, ...) vector<T> A(__VA_ARGS__);
#define vvec(T, A, h, ...) vector<vector<T>> A(h, vector<T>(__VA_ARGS__));
#define vvvec(T, A, h1, h2, ...) vector<vector<vector<T>>> A(h1, vector<vector<T>>(h2, vector<T>(__VA_ARGS__)));
// clang-format on

// for loop
#define fori1(a) for (ll _ = 0; _ < (a); _++)
#define fori2(i, a) for (ll i = 0; i < (a); i++)
#define fori3(i, a, b) for (ll i = (a); i < (b); i++)
#define fori4(i, a, b, c) for (ll i = (a); ((c) > 0 || i > (b)) && ((c) < 0 || i < (b)); i += (c))
#define overload4(a, b, c, d, e, ...) e
#define fori(...) overload4(__VA_ARGS__, fori4, fori3, fori2, fori1)(__VA_ARGS__)

// declare and input
// clang-format off
#define INT(...) int __VA_ARGS__; inp(__VA_ARGS__);
#define LL(...) ll __VA_ARGS__; inp(__VA_ARGS__);
#define STRING(...) string __VA_ARGS__; inp(__VA_ARGS__);
#define CHAR(...) char __VA_ARGS__; inp(__VA_ARGS__);
#define DOUBLE(...) double __VA_ARGS__; STRING(str___); __VA_ARGS__ = stod(str___);
#define VEC(T, A, n) vector<T> A(n); inp(A);
#define VVEC(T, A, n, m) vector<vector<T>> A(n, vector<T>(m)); inp(A);
// clang-format on

// const value
const ll MOD1   = 1000000007;
const ll MOD9   = 998244353;
const double PI = acos(-1);

// other macro
#if !defined(RIN__LOCAL) && !defined(INTERACTIVE)
#define endl "\n"
#endif
#define spa ' '
#define len(A) ll(A.size())
#define all(A) begin(A), end(A)

// function
vector<char> stoc(string &S) {
    int n = S.size();
    vector<char> ret(n);
    for (int i = 0; i < n; i++) ret[i] = S[i];
    return ret;
}
string ctos(vector<char> &S) {
    int n      = S.size();
    string ret = "";
    for (int i = 0; i < n; i++) ret += S[i];
    return ret;
}

template <class T>
auto min(const T &a) {
    return *min_element(all(a));
}
template <class T>
auto max(const T &a) {
    return *max_element(all(a));
}
template <class T, class S>
auto clamp(T &a, const S &l, const S &r) {
    return (a > r ? r : a < l ? l : a);
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
    return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
    return (a > b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chclamp(T &a, const S &l, const S &r) {
    auto b = clamp(a, l, r);
    return (a != b ? a = b, 1 : 0);
}

template <typename T>
T sum(vector<T> &A) {
    T tot = 0;
    for (auto a : A) tot += a;
    return tot;
}

template <typename T>
vector<T> compression(vector<T> X) {
    sort(all(X));
    X.erase(unique(all(X)), X.end());
    return X;
}
int popcnt(int x) {
    return __builtin_popcount(x);
}
int popcnt(unsigned int x) {
    return __builtin_popcount(x);
}
int popcnt(long long x) {
    return __builtin_popcountll(x);
}
int popcnt(unsigned long long x) {
    return __builtin_popcountll(x);
}

// input and output
namespace io {
// __int128_t
std::istream &operator>>(std::istream &is, __int128_t &value) {
    std::string str;
    is >> str;
    value    = 0;
    int sign = 1;
    for (size_t i = 0; i < str.size(); i++) {
        if (i == 0 && str[i] == '-') {
            sign = -1;
            continue;
        }
        value = value * 10 + str[i] - '0';
    }
    value *= sign;
    return is;
}

std::ostream &operator<<(std::ostream &dest, __int128_t value) {
    std::ostream::sentry s(dest);
    if (s) {
        __uint128_t tmp = value < 0 ? -value : value;
        char buffer[128];
        char *d = std::end(buffer);
        do {
            --d;
            *d = "0123456789"[tmp % 10];
            tmp /= 10;
        } while (tmp != 0);
        if (value < 0) {
            --d;
            *d = '-';
        }
        int len = std::end(buffer) - d;
        if (dest.rdbuf()->sputn(d, len) != len) {
            dest.setstate(std::ios_base::badbit);
        }
    }
    return dest;
}

// vector<T>
template <typename T>
istream &operator>>(istream &is, vector<T> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << ' ';
    }
    return os;
}

// vector<vector<T>>
template <typename T>
istream &operator>>(istream &is, vector<vector<T>> &A) {
    for (auto &a : A) is >> a;
    return is;
}
template <typename T>
ostream &operator<<(ostream &os, vector<vector<T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// pair<S, T>
template <typename S, typename T>
istream &operator>>(istream &is, pair<S, T> &A) {
    is >> A.first >> A.second;
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, pair<S, T> &A) {
    os << A.first << ' ' << A.second;
    return os;
}

// vector<pair<S, T>>
template <typename S, typename T>
istream &operator>>(istream &is, vector<pair<S, T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        is >> A[i];
    }
    return is;
}
template <typename S, typename T>
ostream &operator<<(ostream &os, vector<pair<S, T>> &A) {
    for (size_t i = 0; i < A.size(); i++) {
        os << A[i];
        if (i != A.size() - 1) os << endl;
    }
    return os;
}

// tuple
template <typename T, size_t N>
struct TuplePrint {
    static ostream &print(ostream &os, const T &t) {
        TuplePrint<T, N - 1>::print(os, t);
        os << ' ' << get<N - 1>(t);
        return os;
    }
};
template <typename T>
struct TuplePrint<T, 1> {
    static ostream &print(ostream &os, const T &t) {
        os << get<0>(t);
        return os;
    }
};
template <typename... Args>
ostream &operator<<(ostream &os, const tuple<Args...> &t) {
    TuplePrint<decltype(t), sizeof...(Args)>::print(os, t);
    return os;
}

// io functions
void FLUSH() {
    cout << flush;
}

void print() {
    cout << endl;
}
template <class Head, class... Tail>
void print(Head &&head, Tail &&...tail) {
    cout << head;
    if (sizeof...(Tail)) cout << spa;
    print(std::forward<Tail>(tail)...);
}

template <typename T, typename S>
void prisep(vector<T> &A, S sep) {
    int n = A.size();
    for (int i = 0; i < n; i++) {
        cout << A[i];
        if (i != n - 1) cout << sep;
    }
    cout << endl;
}
template <typename T, typename S>
void priend(T A, S end) {
    cout << A << end;
}
template <typename T>
void prispa(T A) {
    priend(A, spa);
}
template <typename T, typename S>
bool printif(bool f, T A, S B) {
    if (f)
        print(A);
    else
        print(B);
    return f;
}

template <class... T>
void inp(T &...a) {
    (cin >> ... >> a);
}

} // namespace io
using namespace io;

// read graph
vector<vector<int>> read_edges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<int>> edges(n, vector<int>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        u -= indexed;
        v -= indexed;
        edges[u].push_back(v);
        if (!direct) edges[v].push_back(u);
    }
    return edges;
}
vector<vector<int>> read_tree(int n, int indexed = 1) {
    return read_edges(n, n - 1, false, indexed);
}

template <typename T = long long>
vector<vector<pair<int, T>>> read_wedges(int n, int m, bool direct = false, int indexed = 1) {
    vector<vector<pair<int, T>>> edges(n, vector<pair<int, T>>());
    for (int i = 0; i < m; i++) {
        INT(u, v);
        T w;
        inp(w);
        u -= indexed;
        v -= indexed;
        edges[u].push_back({v, w});
        if (!direct) edges[v].push_back({u, w});
    }
    return edges;
}
template <typename T = long long>
vector<vector<pair<int, T>>> read_wtree(int n, int indexed = 1) {
    return read_wedges<T>(n, n - 1, false, indexed);
}

// yes / no
namespace yesno {

// yes
inline bool yes(bool f = true) {
    cout << (f ? "yes" : "no") << endl;
    return f;
}
inline bool Yes(bool f = true) {
    cout << (f ? "Yes" : "No") << endl;
    return f;
}
inline bool YES(bool f = true) {
    cout << (f ? "YES" : "NO") << endl;
    return f;
}

// no
inline bool no(bool f = true) {
    cout << (!f ? "yes" : "no") << endl;
    return f;
}
inline bool No(bool f = true) {
    cout << (!f ? "Yes" : "No") << endl;
    return f;
}
inline bool NO(bool f = true) {
    cout << (!f ? "YES" : "NO") << endl;
    return f;
}

// possible
inline bool possible(bool f = true) {
    cout << (f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Possible(bool f = true) {
    cout << (f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool POSSIBLE(bool f = true) {
    cout << (f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// impossible
inline bool impossible(bool f = true) {
    cout << (!f ? "possible" : "impossible") << endl;
    return f;
}
inline bool Impossible(bool f = true) {
    cout << (!f ? "Possible" : "Impossible") << endl;
    return f;
}
inline bool IMPOSSIBLE(bool f = true) {
    cout << (!f ? "POSSIBLE" : "IMPOSSIBLE") << endl;
    return f;
}

// Alice Bob
inline bool Alice(bool f = true) {
    cout << (f ? "Alice" : "Bob") << endl;
    return f;
}
inline bool Bob(bool f = true) {
    cout << (f ? "Bob" : "Alice") << endl;
    return f;
}

// Takahashi Aoki
inline bool Takahashi(bool f = true) {
    cout << (f ? "Takahashi" : "Aoki") << endl;
    return f;
}
inline bool Aoki(bool f = true) {
    cout << (f ? "Aoki" : "Takahashi") << endl;
    return f;
}

} // namespace yesno
using namespace yesno;

} // namespace templates
using namespace templates;

template <int MAXLOG = 30, typename T = int>
struct BinaryTrie {
    using u64 = unsigned long long;

  public:
    struct Node {
        Node *nxt[2];
        T cnt;

        Node() : nxt{nullptr, nullptr}, cnt(T()) {}
    };

    Node *root;
    bool multi;

    BinaryTrie(bool multi = true) : root(new Node()), multi(multi) {}
    BinaryTrie(Node *root, bool multi = true) : root(root), multi(multi) {}

    void insert(u64 bit, T x = T(1), u64 xor_val = 0) {
        if (!multi) {
            assert(x == 1);
            if (x == 1 && count(bit, xor_val) == 1) return;
        }
        root = insert(root, bit, x, MAXLOG, xor_val);
    }

    void erase(u64 bit, T x = T(1), u64 xor_val = 0) {
        if (!multi) {
            assert(x == 1);
            if (count(bit, xor_val) == 0) return;
        }
        insert(root, bit, -x, MAXLOG, xor_val);
    }

    Node *find(u64 bit, u64 xor_val = 0) {
        return find(root, bit, MAXLOG, xor_val);
    }

    T count(u64 bit, u64 xor_val = 0) {
        auto node = find(bit, xor_val);
        return node ? node->cnt : T();
    }

    std::pair<u64, Node *> kth_element(T k, u64 xor_val = 0) {
        if (k < 0) k = (root->cnt) + k;
        if (k < 0 || root->cnt <= k) return {-1, nullptr};
        return kth_element(root, k, MAXLOG, xor_val);
    }

    std::pair<u64, Node *> min_element(u64 xor_val = 0) {
        return kth_element(0, xor_val);
    }

    std::pair<u64, Node *> max_element(u64 xor_val = 0) {
        return kth_element(-1, xor_val);
    }

    T lt_count(u64 bit, u64 xor_val = 0) {
        return count_less(root, bit, MAXLOG, xor_val);
    }

    T leq_count(u64 bit, u64 xor_val = 0) {
        return lt_count(bit, xor_val) + count(bit, xor_val);
    }

    T gt_count(u64 bit, u64 xor_val = 0) {
        return root->cnt - leq_count(bit, xor_val);
    }

    T geq_count(u64 bit, u64 xor_val = 0) {
        return root->cnt - lt_count(bit, xor_val);
    }

    T all_count() {
        return root->cnt;
    }

    ~BinaryTrie() {
        delete root;
    }

  private:
    virtual Node *clone(Node *t) {
        return t;
    }

    Node *insert(Node *t, u64 bit, T x, int depth, u64 xor_val, bool need = true) {
        if (need) t = clone(t);
        if (depth == -1) {
            t->cnt += x;
        } else {
            bool f   = (xor_val >> depth) & 1;
            auto &to = t->nxt[f ^ ((bit >> depth) & 1)];
            if (!to) {
                to   = new Node();
                need = false;
            }
            to        = insert(to, bit, x, depth - 1, xor_val, need);
            auto &to2 = t->nxt[f ^ ((bit >> depth) & 1) ^ 1];
            if (!to2) {
                t->cnt = to->cnt;
            } else {
                if (f ^ ((bit >> depth) & 1)) {
                    t->cnt = to2->cnt + to->cnt;
                } else {
                    t->cnt = to->cnt + to2->cnt;
                }
            }
        }
        return t;
    }

    Node *find(Node *t, u64 bit, int depth, u64 xor_val) {
        if (depth == -1)
            return t;
        else {
            bool f   = (xor_val >> depth) & 1;
            auto &to = t->nxt[f ^ ((bit >> depth) & 1)];
            return to ? find(to, bit, depth - 1, xor_val) : nullptr;
        }
    }

    std::pair<u64, Node *> kth_element(Node *t, T k, int bit_index, u64 xor_val) {
        assert(t != nullptr);
        if (bit_index == -1) {
            return {0, t};
        } else {
            bool f = (xor_val >> bit_index) & 1;
            if ((t->nxt[f] ? t->nxt[f]->cnt : 0) <= k) {
                auto res = kth_element(t->nxt[f ^ 1], k - (t->nxt[f] ? t->nxt[f]->cnt : 0), bit_index - 1, xor_val);
                res.first |= u64(1) << bit_index;
                return res;
            } else {
                return kth_element(t->nxt[f], k, bit_index - 1, xor_val);
            }
        }
    }

    T count_less(Node *t, u64 bit, int bit_index, u64 xor_val) {
        if (bit_index == -1) return T();
        T ret  = T();
        bool f = (xor_val >> bit_index) & 1;
        if ((bit >> bit_index & 1) && t->nxt[f]) ret += t->nxt[f]->cnt;
        if (t->nxt[f ^ (bit >> bit_index & 1)]) ret += count_less(t->nxt[f ^ (bit >> bit_index & 1)], bit, bit_index - 1, xor_val);
        return ret;
    }
};

/*
// type template

struct S {
    using u64 = unsigned long long;
    S() {
        // e()
        // write here
    }

    S &operator+=(const S &r) {
        // write here
        return *this;
    }

    friend S operator+(S l, const S &r) {
        return l += r;
    }

    S operator-(const S &r) const {
        // 削除を行う場合に必要
        return *this;
    }

    bool operator==(const int &x) const {
        // 重複を許さない場合、x == 1 に対して適切な判定を行う
        // 削除を行う場合、x == 0 に対して適切な判定を行う
        return false;
    }

    S(u64 x) {
        // insert の引数等に与える用
        // 必要に応じて bit とかを引数に追加する想定
    }
};
*/

void solve() {
    LL(n, m);
    auto edges = read_wedges<int>(n, m);

    vec(int, X, n, -1);
    X[0] = 0;
    stack<int> st;
    st.push(0);
    while (!st.empty()) {
        int u = st.top();
        st.pop();
        for (auto [v, c] : edges[u]) {
            if (X[v] != -1) continue;
            X[v] = X[u] ^ c;
            st.push(v);
        }
    }

    BinaryTrie<> bt;
    for (auto x : X) bt.insert(x);
    ll ans = -1;
    vec(ll, cnt, 30);
    for (auto x : X) {
        fori(i, 30) {
            if ((x >> i) & 1) cnt[i]++;
        }
    }
    fori(x, n + 1) {
        auto ma = bt.max_element(x).first;

        if (ma <= n) {
            ll tot = 0;
            fori(i, 30) {
                if ((x >> i) & 1) {
                    tot += (n - cnt[i]) << i;
                } else {
                    tot += cnt[i] << i;
                }
            }
            tot = n * (n + 1) / 2 - tot;
            if (ans == -1)
                ans = tot;
            else if (ans != tot) {
                print(-1);
                return;
            }
        }
    }
    print(ans);
}

int main() {
#ifndef INTERACTIVE
    std::cin.tie(0)->sync_with_stdio(0);
#endif
    // std::cout << std::fixed << std::setprecision(12);
    int t;
    t = 1;
    std::cin >> t;
    while (t--) solve();
    return 0;
}

// // #pragma GCC target("avx2")
// // #pragma GCC optimize("O3")
// // #pragma GCC optimize("unroll-loops")
// // #define INTERACTIVE
//
// #include "kyopro-cpp/template.hpp"
//
// #include "data_structure/BinaryTrie.hpp"
//
// void solve() {
//     LL(n, m);
//     auto edges = read_wedges<int>(n, m);
//
//     vec(int, X, n, -1);
//     X[0] = 0;
//     stack<int> st;
//     st.push(0);
//     while (!st.empty()) {
//         int u = st.top();
//         st.pop();
//         for (auto [v, c] : edges[u]) {
//             if (X[v] != -1) continue;
//             X[v] = X[u] ^ c;
//             st.push(v);
//         }
//     }
//
//     BinaryTrie<> bt;
//     for (auto x : X) bt.insert(x);
//     ll ans = -1;
//     vec(ll, cnt, 30);
//     for (auto x : X) {
//         fori(i, 30) {
//             if ((x >> i) & 1) cnt[i]++;
//         }
//     }
//     fori(x, n + 1) {
//         auto ma = bt.max_element(x).first;
//
//         if (ma <= n) {
//             ll tot = 0;
//             fori(i, 30) {
//                 if ((x >> i) & 1) {
//                     tot += (n - cnt[i]) << i;
//                 } else {
//                     tot += cnt[i] << i;
//                 }
//             }
//             tot = n * (n + 1) / 2 - tot;
//             if (ans == -1)
//                 ans = tot;
//             else if (ans != tot) {
//                 print(-1);
//                 return;
//             }
//         }
//     }
//     print(ans);
// }
//
// int main() {
// #ifndef INTERACTIVE
//     std::cin.tie(0)->sync_with_stdio(0);
// #endif
//     // std::cout << std::fixed << std::setprecision(12);
//     int t;
//     t = 1;
//     std::cin >> t;
//     while (t--) solve();
//     return 0;
// }

Submission Info

Compile Error

./Main.cpp: In function 'void solve()':
./Main.cpp:633:16: warning: comparison of integer expressions of different signedness: 'long long unsigned int' and 'templates::ll' {aka 'long long int'} [-Wsign-compare]
  633 |         if (ma <= n) {
      |             ~~~^~~~

Judge Result