Hdu4742 (CDQ分治)
题意:给出n个三维点对(x,y,z),可随意排列,求三维非严格最长上升子序列长度和最长上升子序列数量。
输入格式:第一行为一整数T表示用例组数,每组用例第一行为一整数n表示点数,之后n行每行三个整数x,y,z表示一个点。
输出格式:对于每组用例,输出两个整数分别表示三维非严格最长上升子序列长度和最长上升子序列数量。
#include<cstdio> #include<algorithm> #define mid ((l + r) >> 1) #define mp(a, b) make_pair(a, b) #define fi first #define se second using namespace std; const int N = 1e5 + 5; typedef pair<int, int> pii; int t, n, x, y, z, len; int kk[N]; pii dp[N], c[N]; struct Point{ int x, y, z, id; }p[N], temp[N]; bool cmp1(const Point &a, const Point &b) { return a.x < b.x; } bool cmp2(const Point &a, const Point &b) { return a.y < b.y; } inline int lowbit(int x) { return x & -x; } pii ask(int x){ pii ans = mp(0, 0); while(x){ if(c[x].fi > ans.fi) ans = c[x]; else if(c[x].fi == ans.fi) ans.se += c[x].se; x -= lowbit(x); } return ans; } void modify(int x, pii k){ while(x <= len){ if(c[x].fi < k.fi) c[x] = k; else if(c[x].fi == k.fi) c[x].se += k.se; x += lowbit(x); } } void clear(int x){ while(x <= len){ c[x] = mp(0, 0); x += lowbit(x); } } void CDQ(int l, int r){ if(l == r) return ; CDQ(l, mid); for(int i = l; i <= r; ++i) temp[i] = p[i]; sort(temp + l, temp + r + 1, cmp2); for(int i = l; i <= r; ++i){ if(temp[i].id > mid){ int id = temp[i].id; pii q = ask(temp[i].z); ++q.first; if(dp[id].fi < q.fi) dp[id] = q; else if(dp[id].fi == q.fi) dp[id].se += q.se; } else modify(temp[i].z, dp[temp[i].id]); } for(int i = l; i <= r; ++i) if(temp[i].id <= mid) clear(temp[i].z); CDQ(mid + 1, r); } int main(){ scanf("%d", &t); while(t--){ scanf("%d", &n); for(int i = 1; i <= n; ++i) dp[i].fi = dp[i].se = 1; for(int i = 1; i <= n; ++i){ scanf("%d%d%d", &x, &y, &z); p[i] = Point{x, y, z, i}; kk[i] = z; } sort(p + 1, p + 1 + n, cmp1); sort(kk + 1, kk + 1 + n); len = unique(kk + 1, kk + 1 + n) - kk - 1; for(int i = 1; i <= n; ++i) p[i].z = lower_bound(kk + 1, kk + 1 + len, p[i].z) - kk, p[i].id = i; CDQ(1, n); pii ans = mp(0, 0); for(int i = 1; i <= n; ++i){ if(dp[i].fi > ans.fi) ans = dp[i]; else if(dp[i].fi == ans.fi) ans.se += dp[i].se; } printf("%d %d ", ans.fi, ans.se); } return 0; }