QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#663591#7860. Graph of Maximum Degree 3NCl3WA 52ms19800kbC++204.0kb2024-10-21 16:21:322024-10-21 16:21:38

Judging History

你现在查看的是最新测评结果

  • [2024-10-21 16:21:38]
  • 评测
  • 测评结果:WA
  • 用时:52ms
  • 内存:19800kb
  • [2024-10-21 16:21:32]
  • 提交

answer

#include <bits/stdc++.h>
using ll = long long;
using ld = long double;
using ull = unsigned long long;
constexpr int N = 1e5 + 10;
constexpr int inf = 1e9 + 10;
constexpr ll llinf = 1e18 + 10;
constexpr int mod = 998244353;
void debug() {
    std::cerr << "\n";
}
template<typename T, typename... Args>
void debug(T val, const Args&... args) {
    std::cerr << val << " ";
    debug(args...);
}
template<typename T>
void debug(const std::vector<T>& vec) {
    for (const T& x : vec) std::cerr << x << ' ';std::cerr << "\n";
}
struct DSU
{
    std::vector<int> f, siz, d;

    DSU() {}
    DSU(int n)
    {
        build(n);
    }

    void build(int n)
    {
        f.resize(n + 1); d.resize(n + 1);
        std::iota(f.begin(), f.end(), 0);
        siz.assign(n + 1, 1);
    }

    int find(int x)
    {
        if (x != f[x]) {
            int px = find(f[x]);
            d[x] += d[f[x]];
            f[x] = px;
        }
        return f[x];
    }

    bool same(int x, int y)
    {
        return find(x) == find(y);
    }

    bool merge(int x, int y, int op = 1)
    {
        int px = find(x), py = find(y);
        if (px == py)
        {
            return false;
        }
        siz[py] += siz[px];
        f[px] = py;
        d[px] = d[y] - d[x] + op;//要确保d[px]>0
        return true;
    }

    int size(int x)
    {
        return siz[find(x)];
    }
    int dist(int x)
    {
        return d[x];
    }
};
int pw[N];
void ncl3() {
    pw[0] = 1;
    for (int i = 1; i < N; i++) {
        pw[i] = (2ll * pw[i - 1]) % mod;
    }
    int n, m;
    std::cin >> n >> m;
    std::vector<std::vector<int>> er(n), eb(n);
    std::vector<std::array<int, 3>> edges(m);
    std::vector<int> dr(n), db(n);
    DSU S(n), dsu(n);
    for (auto& [u, v, c] : edges) {
        std::cin >> u >> v >> c;
        u--, v--;
        if (c == 0)
            S.merge(u, v);
    }
    for (auto [u, v, c] : edges) {
        if (c == 1 && S.same(u, v)) {
            dsu.merge(u, v);
        }
    }
    for (auto [u, v, c] : edges) {
        if (c == 0 && dsu.same(u, v)) {
            // debug(u, v, dsu.find(u), dsu.find(v), c);
            er[u].push_back(v);
            er[v].push_back(u);
            dr[u]++, dr[v]++;
        }
        if (c == 1 && dsu.same(u, v)) {
            eb[u].push_back(v);
            eb[v].push_back(u);
            db[u]++, db[v]++;
        }
    }
    ll ans = n;
    std::vector<int> cnt(n);
    for (int u = 0; u < n; u++) {
        if (dr[u] + db[u] == 2) {
            // debug(u);
            bool ok = 1;
            for (auto v : er[u]) {
                if (dr[v] == 1) ok = 0;
            }
            for (auto v : eb[u]) {
                if (db[v] == 1) ok = 0;
            }
            if (ok && dsu.size(u) == 3)
                cnt[dsu.find(u)]++;
        }
        if (dsu.size(u) == 4) {
            // debug(u);
            int v = -1;
            for (auto v1 : er[u]) {
                for (auto v2 : eb[u]) {
                    if (v1 == v2) {
                        v = v1;
                    }
                }
            }
            // debug(u, v);
            if (u < v) {
                ans++;
            }
        }
    }

    for (int i = 0; i < n; i++) {
        // if (dsu.find(i) == 3) debug(i, dr[i], db[i]);
        if (dsu.find(i) == i) {
            // debug(i, cnt[i], dsu.size(i));
            if (dsu.size(i) != 1) {
                ans += pw[cnt[i]];
            }
        }
    }
    std::cout << ans % mod << "\n";
}
/*
    预处理、找性质缩小范围、集合思想、正难则反、穷举
*/
int main() {
#ifdef LOCAL
    clock_t time = clock();
    freopen("in.txt", "r", stdin);
    freopen("out.txt", "w", stdout);
#endif
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    int t = 1;
    // std::cin >> t;
    while (t--) {
        ncl3();
    }
#ifdef LOCAL
    std::cout << "Time Used:" << clock() - time << "ms" << "\n";
#endif
    return 0;
}

詳細信息

Test #1:

score: 100
Accepted
time: 1ms
memory: 3920kb

input:

3 4
1 2 0
1 3 1
2 3 0
2 3 1

output:

5

result:

ok 1 number(s): "5"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3984kb

input:

4 6
1 2 0
2 3 0
3 4 0
1 4 1
2 4 1
1 3 1

output:

5

result:

ok 1 number(s): "5"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3876kb

input:

20 28
9 6 1
9 6 0
3 8 0
8 4 0
3 8 1
3 4 1
2 13 0
13 1 0
19 1 0
2 1 1
2 19 1
13 19 1
14 15 1
14 15 0
7 12 0
12 17 0
20 17 0
7 17 1
7 20 1
12 20 1
16 18 0
18 10 0
5 10 0
16 10 1
16 5 1
18 5 1
4 6 0
9 11 0

output:

27

result:

ok 1 number(s): "27"

Test #4:

score: 0
Accepted
time: 1ms
memory: 3948kb

input:

100 150
93 23 0
23 81 0
76 81 0
93 81 1
93 76 1
23 76 1
100 65 0
65 56 0
19 56 0
100 56 1
100 19 1
65 19 1
2 98 0
2 98 1
26 63 0
63 90 0
26 63 1
26 90 1
6 11 0
11 67 0
6 11 1
6 67 1
37 89 0
89 64 0
25 64 0
37 64 1
37 25 1
89 25 1
84 10 0
10 29 0
75 29 0
84 29 1
84 75 1
10 75 1
7 70 1
7 70 0
28 92 0
...

output:

141

result:

ok 1 number(s): "141"

Test #5:

score: 0
Accepted
time: 44ms
memory: 19416kb

input:

100000 133680
36843 86625 0
86625 63051 0
35524 63051 0
36843 63051 1
36843 35524 1
86625 35524 1
55797 82715 0
55797 82715 1
70147 35104 0
35104 91732 0
70147 35104 1
70147 91732 1
94917 70395 0
70395 68250 0
24100 68250 0
94917 68250 1
94917 24100 1
70395 24100 1
83033 18450 1
83033 18450 0
34462 ...

output:

144604

result:

ok 1 number(s): "144604"

Test #6:

score: 0
Accepted
time: 37ms
memory: 19440kb

input:

100000 133388
86620 74346 0
74346 19047 0
54911 19047 0
86620 19047 1
86620 54911 1
74346 54911 1
23715 93094 0
93094 91208 0
63189 91208 0
23715 91208 1
23715 63189 1
93094 63189 1
99337 41426 1
99337 41426 0
83742 45546 0
45546 73862 0
83742 45546 1
83742 73862 1
85256 2812 0
2812 59368 0
85918 59...

output:

144348

result:

ok 1 number(s): "144348"

Test #7:

score: 0
Accepted
time: 52ms
memory: 19800kb

input:

100000 150000
86541 24385 0
24385 75745 0
52353 75745 0
86541 75745 1
86541 52353 1
24385 52353 1
89075 78015 0
89075 78015 1
52519 74846 0
74846 12045 0
73265 12045 0
52519 12045 1
52519 73265 1
74846 73265 1
17884 63159 0
63159 47308 0
56073 47308 0
17884 47308 1
17884 56073 1
63159 56073 1
72134 ...

output:

144639

result:

ok 1 number(s): "144639"

Test #8:

score: 0
Accepted
time: 45ms
memory: 19748kb

input:

100000 150000
91951 68612 1
91951 68612 0
18361 92673 0
92673 52678 0
86520 52678 0
18361 52678 1
18361 86520 1
92673 86520 1
58779 2421 0
58779 2421 1
66622 6461 0
6461 96943 0
66622 6461 1
66622 96943 1
27201 480 1
27201 480 0
19082 3895 0
3895 17796 0
3117 17796 0
19082 17796 1
19082 3117 1
3895 ...

output:

144471

result:

ok 1 number(s): "144471"

Test #9:

score: 0
Accepted
time: 46ms
memory: 19676kb

input:

100000 150000
43756 3552 0
3552 90269 0
43756 3552 1
43756 90269 1
11104 36935 1
11104 36935 0
11648 5480 0
5480 45320 0
11648 5480 1
11648 45320 1
19216 85746 0
19216 85746 1
68825 11173 0
11173 43155 0
68825 11173 1
68825 43155 1
27349 75259 0
27349 75259 1
1704 24478 0
24478 5980 0
1704 24478 1
1...

output:

144217

result:

ok 1 number(s): "144217"

Test #10:

score: 0
Accepted
time: 45ms
memory: 19712kb

input:

99999 149998
51151 43399 0
51151 43399 1
45978 28343 0
28343 9008 0
85724 9008 0
45978 9008 1
45978 85724 1
28343 85724 1
79446 12915 0
12915 65925 0
28869 65925 0
79446 65925 1
79446 28869 1
12915 28869 1
82642 95556 0
95556 68817 0
68334 68817 0
82642 68817 1
82642 68334 1
95556 68334 1
61212 7638...

output:

144219

result:

ok 1 number(s): "144219"

Test #11:

score: 0
Accepted
time: 39ms
memory: 19768kb

input:

100000 149999
26736 28785 0
28785 37945 0
26736 28785 1
26736 37945 1
1240 74368 0
74368 45022 0
1240 74368 1
1240 45022 1
40673 1276 0
1276 56395 0
40673 1276 1
40673 56395 1
35181 63341 0
63341 35131 0
60120 35131 0
35181 35131 1
35181 60120 1
63341 60120 1
99363 36973 0
99363 36973 1
85717 77683 ...

output:

144380

result:

ok 1 number(s): "144380"

Test #12:

score: 0
Accepted
time: 42ms
memory: 19648kb

input:

100000 150000
63695 11044 0
11044 34978 0
56531 34978 0
63695 34978 1
63695 56531 1
11044 56531 1
72139 3715 0
3715 21024 0
96696 21024 0
72139 21024 1
72139 96696 1
3715 96696 1
54670 49014 0
54670 49014 1
7670 61055 0
61055 38409 0
7670 61055 1
7670 38409 1
83399 50676 0
50676 98893 0
60069 98893 ...

output:

144559

result:

ok 1 number(s): "144559"

Test #13:

score: 0
Accepted
time: 1ms
memory: 3980kb

input:

1 0

output:

1

result:

ok 1 number(s): "1"

Test #14:

score: 0
Accepted
time: 0ms
memory: 11788kb

input:

100000 0

output:

100000

result:

ok 1 number(s): "100000"

Test #15:

score: 0
Accepted
time: 41ms
memory: 19672kb

input:

100000 150000
95066 31960 0
31960 89758 0
10935 89758 0
95066 89758 1
95066 10935 1
31960 10935 1
48016 97823 0
97823 10871 0
23454 10871 0
48016 10871 1
48016 23454 1
97823 23454 1
73749 35525 0
35525 54232 0
42182 54232 0
73749 54232 1
73749 42182 1
35525 42182 1
75405 71341 0
71341 70032 0
3284 7...

output:

125000

result:

ok 1 number(s): "125000"

Test #16:

score: 0
Accepted
time: 0ms
memory: 3868kb

input:

4 6
1 2 0
1 2 1
1 3 0
2 4 1
3 4 0
3 4 1

output:

7

result:

ok 1 number(s): "7"

Test #17:

score: -100
Wrong Answer
time: 21ms
memory: 14188kb

input:

99998 115940
40840 40839 0
28249 28248 0
24785 24783 0
36536 36534 1
71904 71901 1
62023 62021 0
34737 34740 1
18430 18434 0
27506 27505 1
4665 4664 1
36578 36577 1
99311 99314 1
43484 43482 0
26457 26459 1
99698 99695 0
10170 10172 1
98176 98179 1
47786 47785 1
56529 56531 1
86896 86895 1
78204 782...

output:

112503

result:

wrong answer 1st numbers differ - expected: '104913', found: '112503'