你小时候玩过弹珠吗?
小朋友A有一些弹珠,A喜欢把它们排成队列,从左到右编号为1到N。为了整个队列鲜艳美观,小朋友想知道某一段连续弹珠中,不同颜色的弹珠有多少。当然,A有时候会依据个人喜好,替换队列中某个弹珠的颜色。但是A还没有学过编程,且觉得头脑风暴太浪费脑力了,所以向你来寻求帮助。
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对于100%的数据,有1 ≤ N ≤ 10000, 1 ≤ M ≤ 10000,小朋友A不会修改超过1000次,所有颜色均用1到10^6的整数表示。
题解:
这个跟教主的魔法差不多,问题转化过程贴hzwer
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <cmath>
using namespace std;
const int MAXN = 1000001;
int pos[MAXN], a[MAXN], b[MAXN], add[MAXN];
int last[MAXN], pre[MAXN];
int n, m ,block;
void reset(int x)
{
int i;
int l = (x-1) * block + 1;
int r = x * block;
if (r > n) r = n;
for (i = l; i <= r; i++)
{
pre[i] = b[i];
}
sort(pre + l, pre + r + 1);
}
int find(int x, int tar)
{
int l = (x - 1)*block + 1;
int r = x*block;
if (r > n) r = n;
int mid, ret=l;
while (l <= r)
{
mid = (l + r) >> 1;
if (pre[mid] >= tar) r = mid-1;
else l = mid + 1;
}
return l-ret;
}
void Modify(int x, int tar)
{
int i, temp;
for (i = 1; i <= n; i++)
last[a[i]] = 0;
a[x] = tar;
for (i = 1; i <= n; i++)
{
temp = b[i];
b[i] = last[a[i]];
if (temp != b[i]) reset(pos[i]);
last[a[i]] = i;
}
}
int Query(int L, int R)
{
int d = 0, i;
if (pos[L] == pos[R])
{
for (i = L; i <= R; i++)
{
if (b[i]<L)
d++;
}
}
else
{
for (i = L; i <= pos[L] * block; i++)
if (b[i]<L)
d++;
for (i = (pos[R]-1) * block + 1; i <= R; i++)
if (b[i]<L)
d++;
}
for (i = pos[L] + 1; i < pos[R]; i++)
d += find(i, L);
return d;
}
int main(int argc, char *argv[])
{
int i, j, x, y, z, T;
char op;
scanf("%d%d", &n, &T);
block = int(sqrt(n) + log(2 * n) / log(2));
//block = (int)sqrt(n);
for (i = 1; i <= n; i++)
{
scanf("%d", &a[i]);
b[i] = last[a[i]];
last[a[i]] = i;
pos[i] = (i - 1) / block + 1;
}
if (n%block)
m = n / block + 1;
else m = n / block;
for (i = 1; i <= m; i++)
reset(i);
while (T--)
{
scanf("\n%c%d%d", &op, &x, &y);
if (op == ‘R‘) Modify(x, y);
else printf("%d\n", Query(x, y));
}
return 0;
}
【BZOJ】2453: 维护队列&&【BZOJ】2120: 数颜色 二分+分块 双倍经验
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原文地址:http://www.cnblogs.com/BeyondW/p/5908478.html