Submission #439661

#	Time	Username	Problem	Language	Result	Execution time	Memory
439661		haojiandan	Dungeons Game (IOI21_dungeons)	C++17	0 / 100	84 ms	69188 KiB

dungeons

#include "dungeons.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll INF=1e18;
const int maxn=(4e5)+10;
int n,hd,tl,q[maxn],lg[maxn*2];
struct Tree {
	int a[maxn],in[maxn];
	ll w[maxn],dep[maxn],p[maxn]; bool cyc[maxn],vis[maxn];
	vector<int> son[maxn];
	int fa[maxn][20]; //ll mn[maxn][20];
	
	int sz[maxn],dfn[maxn],idx,top[maxn],FA[maxn],mxson[maxn];
	ll mn[maxn],D[maxn]; int bk[maxn];

	int cnt,L[maxn],R[maxn],tot,bel[maxn];
	ll all[maxn],pre[maxn*2],st[maxn*2][21];
	int rem[maxn*2],pos[maxn];
	void dfs(int u) {
		sz[u]=1;
		for (int v : son[u]) if (!cyc[v]) {
			dep[v]=dep[u]+p[v]; FA[v]=u; dfs(v); sz[u]+=sz[v];
			if (sz[v]>sz[mxson[u]]) mxson[u]=v;
		}
	}
	void dfs2(int u) {
		dfn[u]=++idx; bk[idx]=u; D[idx]=mn[u]=dep[a[u]]+w[a[u]];
		if (top[u]!=u) mn[u]=min(mn[u],mn[top[u]]);
		if (mxson[u]) top[mxson[u]]=top[u],dfs2(mxson[u]);
		for (int v : son[u]) if (!cyc[v]) {
			if (v==mxson[u]) continue;
			top[v]=v; dfs2(v);
		}
	}
	ll query(int l,int r) {
		int j=lg[r-l+1];
		return min(st[l][j],st[r-(1<<j)+1][j]);
	}
	void build() {
		for (int i=1;i<=n;i++) in[a[i]]++,son[a[i]].push_back(i),fa[i][0]=a[i];
		//for (int i=1;i<=n;i++) printf("a[%d]=%d,w[%d]=%lld,p[%d]=%lld\n",i,a[i],i,w[i],i,p[i]);
		hd=1,tl=0;
		for (int i=1;i<=n;i++) if (!in[i]) q[++tl]=i;
		while (hd<=tl) {
			int x=q[hd]; hd++;
			int y=a[x];
			in[y]--; if (!in[y]) q[++tl]=y;
		}
		for (int i=1;i<=n;i++) if (in[i]) cyc[i]=1;//,printf("cyc=%d\n",i);
		for (int i=1;i<=n;i++) if (cyc[i]) {
			dfs(i); FA[i]=0; top[i]=i; dfs2(i);
			if (!vis[i]) {
				int x=i;
				cnt++; L[cnt]=tot+1;
				while (1) {
					bel[x]=cnt; all[cnt]+=p[x]; vis[x]=1;
					tot++; pos[x]=tot; rem[tot]=x;
					x=a[x]; if (x==i) break;
				}
				R[cnt]=tot;
				for (int j=L[cnt];j<=R[cnt];j++) rem[++tot]=rem[j];
				R[cnt]=tot;
				ll now=0;
				for (int j=L[cnt];j<=R[cnt];j++) {
					st[j][0]=w[rem[j]]-now;
					pre[j]=now;
					now+=p[rem[j]];
				}
			}
		}
		for (int i=idx-1;i>=1;i--) {
			if (top[bk[i]]==top[bk[i+1]]) D[i]=min(D[i],D[i+1]);
		}
		//for (int i=1;i<=n;i++) mn[i][0]=dep[a[i]]+w[a[i]];
		for (int i=1;i<=20;i++) for (int j=1;j+(1<<i)-1<=tot;j++)
			st[j][i]=min(st[j][i-1],st[j+(1<<(i-1))][i-1]);
		//for (int i=1;i<=19;i++) for (int j=1;j<=n;j++)
			//fa[j][i]=fa[fa[j][i-1]][i-1],mn[j][i]=min(mn[fa[j][i-1]][i-1],mn[j][i-1]);
	}
	void solve(int &x,ll &now) {
	//	printf("x=%d,now=%lld\n",x,now);
		if (now>=w[x]) return;
		if (!cyc[x]) {
			int y=x;
			while (!cyc[y]&&now+dep[x]<mn[y]) y=FA[top[y]];
			//printf("y=%d\n",y);
			if (!cyc[y]) {
				int p=upper_bound(D+dfn[top[y]],D+dfn[y]+1,now+dep[x])-D;
				if (p>dfn[y]) p=dfn[y];
				y=bk[p];
			}
			//printf("y=%d\n",y);
			if (!cyc[y]) y=FA[y];
			now+=dep[x]-dep[y]; x=y;
			if (now>=w[x]) return;
		}
		if (x==n) return;
	//	printf("%d\n",x);
		ll mn=query(pos[x],R[bel[x]]);
		ll bd=mn+pre[pos[x]]-now;
		int rd; if (bd<=0) rd=0; else if (bd%all[bel[x]]==0) rd=bd/all[bel[x]]; else rd=bd/all[bel[x]]+1;
		int y=pos[x]+1;
		for (int i=19;i>=0;i--) if (y+(1<<i)-1<=R[bel[x]]) {
			if (now-pre[pos[x]]+all[bel[x]]*rd<st[y][i]) y+=(1<<i);
		}
		now+=pre[y]-pre[pos[x]]+all[bel[x]]*rd;
		x=rem[y];
	}
} tr[4];
int s[maxn],w[maxn],p[maxn],nxt[maxn];
void init(int _n,vector<int> _s,vector<int> _p,vector<int> _w,vector<int> _l) {
	n=_n;
	for (int i=1;i<=n;i++) s[i]=_s[i-1],w[i]=_w[i-1]+1,p[i]=_p[i-1],nxt[i]=_l[i-1]+1;
	w[n+1]=nxt[n+1]=n+1; n++;
//	printf("MLE %d\n",sizeof(tr)/1024/1024);
	for (int i=2;i<=n*2;i++) lg[i]=lg[i>>1]+1;
//	puts("OK");
	for (int i=0;i<4;i++) {
		for (int j=1;j<=n;j++) {
			if (j==n||(s[j]>>(i*7))) tr[i].a[j]=nxt[j],tr[i].w[j]=s[j],tr[i].p[j]=p[j];
			else tr[i].a[j]=w[j],tr[i].w[j]=INF/10,tr[i].p[j]=s[j];
			
		}
		tr[i].build();
	}
	//puts("OK");
}

ll simulate(int x, int z) {
	x++; ll now=z;
	for (int i=0;i<4;i++) {
		while (now<(1LL<<(i*7+7))) {
			tr[i].solve(x,now);
			//printf("%d %d %lld\n",i,x,now);
			assert(x);
			if (x==n) break;
			now+=s[x]; x=w[x]; if (x==n) break;
		}
	}
	return now;
}

• Subtask 1: 0 / 11
• Subtask 2: 0 / 26
• Subtask 3: 0 / 13
• Subtask 4: 0 / 12
• Subtask 5: 0 / 27
• Subtask 6: 0 / 11