[BZOJ1552]robotic sort SPlay区间翻转
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SPlay区间翻转模板题
对于翻转区间[L,R],将R+1旋转到根,L-1旋转到根节点的左儿子,此时L-1的右子树便是需要翻转的区间
打上标记即可
为了防止SPlay一个不存在的节点,可以在头尾加一个空节点(不加也行写起来蛋疼)
还不是很清楚SPlay(x)之前是否一定要access(x),感觉一定要先下放标记再操作
改了好久最后要了数据才过,发现题目给的读入不是一个全排列
诶,细心看题啊
#include <cassert>#include <iostream>#include <cstdio>#include <algorithm> #define INF 1<<20#define N 500050 using namespace std; int siz[N],fa[N],rev[N],sta[N],s[N][2],a[N];int p[N],d[N],e[N],n,rt,cnt,tp; inline void update(int t) { siz[t] = siz[ s[t][0] ] + siz[ s[t][1] ] + 1; } void rotate(int t,int &k) { int y = fa[t] , z = fa[y] , l = (s[y][0] == t)^1 , r = l ^ 1; if (y == k) k = t; else { if (s[z][0] == y) s[z][0] = t; else s[z][1] = t; } s[y][l] = s[t][r]; s[t][r] = y; fa[t] = z , fa[y] = t , fa[ s[y][l] ] = y; update(y); update(t);} inline void push_down(int t) { if (!rev[t]) return ; swap(s[t][0],s[t][1]); rev[ s[t][0] ] ^= 1; rev[ s[t][1] ] ^= 1; rev[t] = 0;} inline void access(int t,int d) { while (t!=d && t!=rt) { sta[++tp] = t; t = fa[t]; } sta[++tp] = d; while (tp) { push_down(sta[tp]); tp--; }} void SPlay(int t,int &d) { access(t,d); while (t != d) { int y = fa[t] , z = fa[y]; if (y != d) { if ((s[y][0] == t) ^ (s[z][0] == y)) rotate(t,d); else rotate(y,d); } rotate(t,d); }} void build(int l,int r,int &t,int f) { int mid = (l + r) >> 1; t = ++cnt; fa[t] = f; siz[t] = 1; if (p[mid] != INF) d[ p[mid] ] = t; if (l == r) return ; if (l <= mid-1) build(l,mid-1,s[t][0],t); if (mid+1 <= r) build(mid+1,r,s[t][1],t); siz[t] = siz[ s[t][0] ] + siz[ s[t][1] ] + 1;} int kth(int k,int t) { push_down(t); int tmp = siz[ s[t][0] ] + 1; if (tmp == k) return t; return tmp > k ? kth(k,s[t][0]) : kth(k-tmp,s[t][1]);}int rever(int L,int R) {int u,v;v = kth(R,rt); SPlay(v,rt);if (s[v][0] == 0) {while(1);}u = kth(L,rt); SPlay(u,s[v][0]); return rev[ s[u][1] ] ^= 1;}bool cmp(int p1,int p2) {return a[p1] == a[p2] ? p1 < p2 : a[p1] < a[p2];} int main(){#ifndef ONLINE_JUDGEfreopen("sort.in","r",stdin);freopen("sort.out","w",stdout);#endif scanf("%d",&n); for (int i=1;i<=n;i++) scanf("%d",&a[i]) , e[i] = i; sort(e+1,e+n+1,cmp); for (int i=1;i<=n;i++) a[ e[i] ] = a[ e[i-1] ] + 1; for (int i=2;i<=n+1;i++) p[i] = a[i-1]; p[1] = p[n+2] = INF; build(1,n+2,rt,0); for (int i=2;i<=n+1;i++) { SPlay(d[i-1],rt); int ans = siz[ s[rt][0] ] + 1; printf("%d%c",ans-1,i==n+1?'\n':' '); rever(i-1,ans+1); } return 0;}
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