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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#223286#7607. The Doubling Game 2ucup-team296#WA 1ms3540kbC++143.9kb2023-10-21 23:33:052023-10-21 23:33:05

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  • [2023-10-21 23:33:05]
  • 评测
  • 测评结果:WA
  • 用时:1ms
  • 内存:3540kb
  • [2023-10-21 23:33:05]
  • 提交

answer

#include <bits/stdc++.h>

#define long long long int
#define DEBUG
using namespace std;

// @author: pashka

int mod = 1000000007;

struct mint {
    int value = 0;

    constexpr mint() : value() {}

    mint(const long &x) {
        value = normalize(x);
    }

    static long normalize(const long &x) {
        long v = x % mod;
        if (v < 0) v += mod;
        return v;
    }

    bool operator==(const mint &x) { return value == x.value; };

    mint operator+(const mint &x) { return value + x.value; };

    mint operator-(const mint &x) { return value - x.value; };

    mint operator*(const mint &x) { return (long) value * x.value; };

    void operator+=(const mint &x) { value = normalize(value + x.value); };

    void operator-=(const mint &x) { value = normalize(value - x.value); };
};


vector<vector<int>> g;

void dfs1(int x, int p) {
    vector<int> gg;
    for (int y : g[x]) {
        if (y == p) continue;
        dfs1(y, x);
        gg.push_back(y);
    }
    g[x] = gg;
}

vector<vector<mint>> dp1;
vector<vector<vector<mint>>> dp2;
vector<mint> dp3;

void go(int x) {
    vector<pair<int, int>> a;
    for (int y : g[x]) {
        go(y);
        a.push_back({dp1[y].size() - 1, y});
    }
    sort(a.begin(), a.end());
    int maxk = 0;
    for (auto p : a) {
        if (p.first >= maxk) maxk++;
    }
    dp1[x].resize(maxk + 1);
    dp2[x].resize(maxk + 2);
    for (int k = 0; k <= maxk + 1; k++) {
        vector<mint> d(1 << k);
        d[0] = 1;
        for (int y : g[x]) {
            vector<mint> dd(1 << k);
            for (int m = 0; m < (1 << k); m++) {
                for (int i = 0; i < k && i < (int)dp1[y].size(); i++) {
                    if (m & (1 << i)) continue;
                    int mm = m | (1 << i);
                    dd[mm] += d[m] * dp1[y][i];
                }
                dd[m] += d[m] * dp3[y];
            }
            d = dd;
        }
        if (k <= maxk)
            dp1[x][k] = d[(1 << k) - 1];
        dp2[x][k].resize(k);
        for (int i = 0; i < k; i++) {
            dp2[x][k][i] = d[(1 << k) - 1 - (1 << i)];
        }
        dp3[x] += dp1[x][k];
    }
    for (int k = 0; k <= maxk + 1; k++) {
        vector<mint> d(1 << (k + 1));
        d[0] = 1;
        for (int y : g[x]) {
            vector<mint> dd(1 << (k + 1));
            for (int m = 0; m < (1 << (k + 1)); m++) {
                for (int i = 0; i < k && i < (int)dp1[y].size(); i++) {
                    if (m & (1 << i)) continue;
                    int mm = m | (1 << i);
                    dd[mm] += d[m] * dp1[y][i];
                }
                if ((m & (1 << k)) == 0) {
                    for (int i = k + 1; i < (int) dp2[y].size(); i++) {
                        int mm = m | (1 << k);
                        dd[mm] += d[m] * dp2[y][i][k]; // !!!
                    }
                }
                dd[m] += d[m] * dp3[y];
            }
            d = dd;
        }
        for (int i = 0; i < k; i++) {
            dp2[x][k][i] += d[(1 << (k + 1)) - 1 - (1 << i)];
        }
        dp3[x] += d[(1 << (k + 1)) - 1];
    }
//    cout << (x + 1) << ":\n";
//    for (auto t : dp1[x]) {
//        cout << t.value << " ";
//    }
//    cout << "\n";
//    for (auto q : dp2[x]) {
//        cout << ">";
//        for (auto t : q) {
//            cout << t.value << " ";
//        }
//        cout << "\n";
//    }
//    cout << dp3[x].value << "\n";
}

int main() {
    ios::sync_with_stdio(false);

    int n;
    cin >> n;
    g.resize(n);
    for (int i = 0; i < n - 1; i++) {
        int x, y;
        cin >> x >> y;
        x--; y--;
        g[x].push_back(y);
        g[y].push_back(x);
    }

    dfs1(0, -1);

    dp1.resize(n);
    dp2.resize(n);
    dp3.resize(n);
    go(0);
    cout << dp3[0].value << "\n";

    return 0;
}


Details

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Test #1:

score: 100
Accepted
time: 1ms
memory: 3488kb

input:

5
1 2
1 3
1 4
4 5

output:

21

result:

ok single line: '21'

Test #2:

score: 0
Accepted
time: 1ms
memory: 3456kb

input:

1

output:

1

result:

ok single line: '1'

Test #3:

score: -100
Wrong Answer
time: 0ms
memory: 3540kb

input:

128
11 32
116 81
65 4
117 47
5 81
104 30
61 8
82 59
95 20
92 29
29 127
97 39
123 33
59 128
115 33
83 67
74 16
77 33
64 73
124 123
8 127
61 51
101 122
35 90
119 116
112 27
81 93
109 123
54 1
119 100
116 16
65 47
67 27
22 105
76 87
36 39
27 96
72 31
91 123
21 105
118 12
110 48
121 72
14 115
24 16
106 ...

output:

956191010

result:

wrong answer 1st lines differ - expected: '508800953', found: '956191010'