题意:变形的约瑟夫环模型,每个人有一个数字a,从第K个人开始出列,如果数字是正的,就往后数a个人出列,如果书负数,就往反方向数。
然后用最基本的线段树处理约瑟夫环的方法即可
但是题目要求的是第x个出列的人的名字,x为1-N中约数最多的数中的最小的那个。这里需要求反素数,即不大于N约数最多的。
写起来比较多,容易写错,一开始连素数打表都写作了QAQ
#include <cstdio>
#include <iostream>
#include <cstring>
#include <algorithm>
#include <cstdlib>
#include <map>
#include <set>
#include <vector>
#include <string>
#include <queue>
#include <stack>
#include <climits>
using namespace std;
typedef long long LL;
const int maxn = 500000 + 5;
int sum[maxn << 2];
//线段树
#define lson rt<<1,l,mid
#define rson rt<<1|1,mid+1,r
void build(int rt,int l,int r) {
if(l == r) sum[rt] = 1;
else {
int mid = (l + r) >> 1;
build(lson); build(rson);
sum[rt] = sum[rt<<1] + sum[rt<<1|1];
}
}
void update(int rt,int l,int r,int tar,int x) {
if(l == r) sum[rt] = x;
else {
int mid = (l + r) >> 1;
if(tar <= mid) update(lson,tar,x);
else update(rson,tar,x);
sum[rt] = sum[rt<<1] + sum[rt<<1|1];
}
}
int query(int rt,int l,int r,int v) {
if(l == r) return l;
else {
int mid = (l + r) >> 1,lc = rt<<1,rc = lc + 1;
if(sum[lc] >= v) return query(lson,v);
else return query(rson,v - sum[lc]);
}
}
//反素数生成
int prime[20] = {2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71};
int minv[maxn],times[40];
void dfs(LL arr,int nowcnt,int nowt,LL lim) {
if(arr > lim) return;
//cout << arr << " " << nowcnt << " " << nowt << " " << lim << endl;
minv[nowcnt] = min(minv[nowcnt],(int)arr);
for(int i = 1;nowt == 0 || i <= times[nowt - 1];i++) {
arr *= prime[nowt];
if(arr > lim) break;
nowcnt = nowcnt / i * (i + 1);
times[nowt] = i;
dfs(arr,nowcnt,nowt + 1,lim);
}
}
char name[maxn][20];
int k[maxn],N,K;
void solve() {
int nowpos = K,ans,ansv,nowk,pos = K;
build(1,1,N);
for(int i = 1;i <= N;i++)
if(minv[i] <= N) ansv = i;
for(int i = 1;i <= N;i++) {
pos = query(1,1,N,nowpos);
update(1,1,N,pos,0);
// printf("%d:%s out in %d\n",pos,name[pos],i);
nowk = k[pos];
if(i == minv[ansv]) {
ans = pos; break;
}
if(nowk > 0) nowpos = ((nowpos + nowk - 2) % (N - i) + (N - i)) % (N - i) + 1;
else nowpos = ((nowpos + nowk - 1) % (N - i) + (N - i)) % (N - i) + 1;
}
printf("%s %d\n",name[ans],ansv);
}
void setfile() {
freopen("in.txt","r",stdin);
freopen("a.txt","w",stdout);
}
int main() {
// setfile();
for(int i = 1;i <= maxn;i++) minv[i] = INT_MAX;
dfs(1,1,0,maxn);
while(scanf("%d%d",&N,&K) != EOF) {
for(int i = 1;i <= N;i++) scanf("%s%d",name[i],&k[i]);
solve();
}
return 0;
}
POJ 2886 Who Gets the Most Candies? 反素数+线段树,布布扣,bubuko.com
POJ 2886 Who Gets the Most Candies? 反素数+线段树
原文:http://www.cnblogs.com/rolight/p/3841634.html