题解

3 条题解

  • 0
    @ 2025-06-09 20:12:47
    #include<iostream>
    #include<cstdio>
    #include<cstring>
    #include<vector>
    #define maxn 1010
    #define maxm 5010
    #define pb push_back
    using namespace std;
    
    int T, n, m, K;
    
    int u[maxm], v[maxm];
    
    struct Edge{
        int to, next;
    }e[maxm * 2]; int c1, head[maxn];
    inline void add_edge(int u, int v){
        e[c1].to = v; e[c1].next = head[u]; head[u] = c1++; 
    }
    
    int g[maxn][maxn];
    
    bool ans[maxn][maxn];
    void put(){
        for(int i = 1; i <= n; ++i, putchar('\n'))
            for(int j = 1; j <= n; ++j){
                if(ans[i][j]) putchar('Y');
                else putchar('N');  
                ans[i][j] = 0;
            }
    }
    
    void solve_2(){
        for(int i = 1; i <= n; ++i)
            for(int j = head[i]; ~j; j = e[j].next) ans[i][e[j].to] = 1;
    }
    
    int a[maxn], c2;
    void solve_3(){
        for(int i = 1; i <= n; ++i){
            int u = i; c2 = 0;
            for(int j = head[u]; ~j; j = e[j].next){
                int v = e[j].to; a[++c2] = v;
            }
            for(int j = 1; j <= c2; ++j)
                for(int k = 1; k < j; ++k)
                    ans[a[j]][a[k]] = ans[a[k]][a[j]] = 1;
        }
    }               
    
    void solve_4(){
        for(int i = 1; i <= n; ++i)
            for(int j = 1; j < i; ++j){
                bool F = 0;
                for(int l = head[i]; ~l && !F; l = e[l].next){
                    int v1 = e[l].to; if(v1 == j) continue;
                    for(int r = head[j]; ~r; r = e[r].next){
                        int v2 = e[r].to; if(v2 == i || v2 == v1) continue;
                        if(g[v1][v2]){F = 1; break;}
                    }
                }
                ans[i][j] = ans[j][i] = F;
            }
    }
    
    int cnt[maxn];
    void solve_5(){
        for(int p = 1; p <= n; ++p)
            for(int q = 1; q < p; ++q){
                int sum = 0; 
                for(int i = head[p]; ~i; i = e[i].next){
                    int u = e[i].to; if(u == q || !g[u][q]) continue;
                    cnt[u] = 1; ++sum;
                }
                for(int l = head[p]; ~l; l = e[l].next){
                    int x = e[l].to; if(x == q) continue;
                    for(int r = head[q]; ~r; r = e[r].next){
                        int y = e[r].to; if(y == p || y == x) continue;
                        ans[y][x] = (ans[x][y] |= sum - cnt[x] - cnt[y] > 0);
                    }
                }
                for(int i = head[p]; ~i; i = e[i].next){
                    int u = e[i].to; if(u == q) continue;
                    cnt[u] = 0;
                }
            }
    }
    
    void solve_6(){
        for(int p = 1; p <= n; ++p)
            for(int q = 1; q < p; ++q){
                int sum = 0; 
                for(int l = head[p]; ~l; l = e[l].next){
                    int u = e[l].to; if(u == q) continue;
                    for(int r = head[q]; ~r; r = e[r].next){
                        int v = e[r].to; if(v == p || u == v || !g[u][v]) continue;
                        ++cnt[u]; ++cnt[v]; ++sum;
                    }
                }
                for(int l = head[p]; ~l; l = e[l].next){
                    int x = e[l].to; if(x == q) continue;
                    for(int r = head[q]; ~r; r = e[r].next){
                        int y = e[r].to; if(y == p || x == y) continue;
                        ans[y][x] = (ans[x][y] |= sum - cnt[x] - cnt[y] + g[x][y] > 0);
                    }
                }
                for(int l = head[p]; ~l; l = e[l].next){
                    int u = e[l].to; if(u == q) continue;
                    for(int r = head[q]; ~r; r = e[r].next){
                        int v = e[r].to; if(v == p || u == v || !g[u][v]) continue;
                        cnt[u] = cnt[v] = 0;
                    }
                }
            }
    }
    
    vector<int> b[maxn][maxn];
    int cnt1[maxn][maxn], cnt2[maxn][maxn], I;
    int vis1[maxn][maxn], vis2[maxn][maxn];
    
    int c[maxm], c3;
    
    void solve_7(){
        memset(vis1, 0, sizeof vis1); memset(vis2, 0, sizeof vis2); I = 0; 
        for(int i = 1; i <= n; ++i)
            for(int j = 1; j <= n; ++j) b[i][j].clear();
        for(int i = 1; i <= n; ++i){
            int u = i; c2 = 0;
            for(int j = head[u]; ~j; j = e[j].next){
                int v = e[j].to;
                a[++c2] = v;
            }
            for(int j = 1; j <= c2; ++j)
                for(int k = 1; k < j; ++k){
                    b[a[j]][a[k]].pb(i);
                    b[a[k]][a[j]].pb(i);
                }
        }
        for(int u = 1; u <= n; ++u)
            for(int v = 1; v < u; ++v){
                int sum = 0; ++I; c3 = 0;
                for(int i = head[u]; ~i; i = e[i].next){
                    int p = e[i].to; if(p == v) continue;
                    for(int j = head[v]; ~j; j = e[j].next){
                        int q = e[j].to; if(q == u || p == q) continue;
                        for(int k = 0, _s = b[p][q].size(); k < _s; ++k){
                            int z = b[p][q][k]; if(z == u || z == v) continue;
                            
                            c[++c3] = z;
                            
                            if(vis1[p][q] == I) ++cnt1[p][q];
                            else vis1[p][q] = I, cnt1[p][q] = 1;
                            
                            if(vis2[p][z] == I) ++cnt2[p][z];
                            else vis2[p][z] = I, cnt2[p][z] = 1;
                            
                            if(vis2[q][z] == I) ++cnt2[q][z];
                            else vis2[q][z] = I, cnt2[q][z] = 1;
                            
                            ++cnt[q]; ++cnt[p]; ++cnt[z]; ++sum;
                        }
                    }
                }   
                for(int i = head[u]; ~i; i = e[i].next){
                    int p = e[i].to; if(p == v) continue;
                    for(int j = head[v]; ~j; j = e[j].next){
                        int q = e[j].to; if(q == u || p == q) continue;
                        if(vis1[p][q] != I) cnt1[p][q] = 0;
                        if(vis2[p][q] != I) cnt2[p][q] = 0;
                        if(vis2[q][p] != I) cnt2[q][p] = 0;
                        ans[p][q] |= (sum - cnt[p] - cnt[q] + cnt1[p][q] + cnt2[p][q] + cnt2[q][p] > 0);
                        ans[q][p] = ans[p][q];
                    }
                }
                for(int i = 1; i <= c3; ++i) cnt[c[i]] = 0;
                for(int i = head[u]; ~i; i = e[i].next) cnt[e[i].to] = 0;
                for(int i = head[v]; ~i; i = e[i].next) cnt[e[i].to] = 0;
            }
    }
    
    void work(){
        memset(head, -1, sizeof head); c1 = 0;
        scanf("%d%d%d", &n, &m, &K);
        for(int i = 1; i <= m; ++i){
            int x, y; scanf("%d%d", &x, &y);
            add_edge(x, y); add_edge(y, x);
            g[x][y] = g[y][x] = 1;
            u[i] = x; v[i] = y;
        }
        switch(K){
            case 2 : solve_2(); break;
            case 3 : solve_3(); break;
            case 4 : solve_4(); break;
            case 5 : solve_5(); break;
            case 6 : solve_6(); break;
            case 7 : solve_7(); break;
        } put();
        for(int i = 1; i <= m; ++i) g[u[i]][v[i]] = g[v[i]][u[i]] = 0;
    }
    
    int main(){
        scanf("%d", &T);
        while(T--) work();
    }
    
  • 0
    @ 2015-05-29 02:29:25

    ..........................
    给跪了
    k=2 O(n^2)
    k=3 O(nm)
    k=4 O(m^2)
    然后k=5利用k=4的结果 可以做到O(m^2+n^3/32)
    然后k=6利用k=4的结果 可以做到O(m^2+n^2m/32)
    然后k=7利用k=5的结果 可以做到O(m^2+nm^2/32)
    好像k=7的还是错的.... 不过能过数据
    bitset真是个好东西...
    直接压位+利用好k=4/5的结果
    搞搞可以过...
    这不是正解.
    k=5/6/7都是压位做的....
    这个算法被出题人喷死了233

  • 0
    @ 2015-05-27 03:37:52

    这题有点厉害,折腾出来了55分算法,感觉75分也近在咫尺了。
    恩,感觉100分我也知道怎么写了,不过有点复杂。

    这题居然是动态规划,给跪了。

  • 1

信息

ID
1959
难度
8
分类
动态规划 点击显示
标签
递交数
122
已通过
10
通过率
8%
被复制
2
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