3 条题解
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搬运工 (syrth0p1) LV 10 @ 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(); }
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02015-05-29 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 -
02015-05-27 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。
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