Educational Codeforces Round 22 E. Army Creation（分块好题）

E. Army Creation

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

As you might remember from our previous rounds, Vova really likes computer games. Now he is playing a strategy game known as Rage of Empires.

In the game Vova can hire n different warriors; ith warrior has the type ai. Vova wants to create a balanced army hiring some subset of warriors. An army is called balanced if for each type of warrior present in the game there are not more than k warriors of this type in the army. Of course, Vova wants his army to be as large as possible.

To make things more complicated, Vova has to consider q different plans of creating his army. ith plan allows him to hire only warriors whose numbers are not less than li and not greater than ri.

Help Vova to determine the largest size of a balanced army for each plan.

Be aware that the plans are given in a modified way. See input section for details.

Input

The first line contains two integers n and k (1 ≤ n, k ≤ 100000).

The second line contains n integers a1, a2, ... an (1 ≤ ai ≤ 100000).

The third line contains one integer q (1 ≤ q ≤ 100000).

Then q lines follow. ith line contains two numbers xi and yi which represent ith plan (1 ≤ xi, yi ≤ n).

You have to keep track of the answer to the last plan (let's call it last). In the beginning last = 0. Then to restore values of li and ri for the ith plan, you have to do the following:

1. li = ((xi + last) mod n) + 1;
2. ri = ((yi + last) mod n) + 1;
3. If li > ri, swap li and ri.

Output

Print q numbers. ith number must be equal to the maximum size of a balanced army when considering ith plan.

Example

input

6 2
1 1 1 2 2 2
5
1 6
4 3
1 1
2 6
2 6

output

2
4
1
3
2

Note

In the first example the real plans are:

1. 1 2
2. 1 6
3. 6 6
4. 2 4
5. 4 6

题目链接：E. Army Creation

神队友突然给我一道题目，这题跟BZOJ 那个维护队列的分块做法一样，那道题是分块维护倒数第1个同样的数的出现的位置，这题是维护倒数第k个同样的数出现的位置，然后在块内二分即可。真的是一道好题。

代码：

#include <bits/stdc++.h>
using namespace std;
#define INF 0x3f3f3f3f
#define LC(x) (x<<1)
#define RC(x) ((x<<1)+1)
#define MID(x,y) ((x+y)>>1)
#define CLR(arr,val) memset(arr,val,sizeof(arr))
#define FAST_IO ios::sync_with_stdio(false);cin.tie(0);
typedef pair<int, int> pii;
typedef long long LL;
const double PI = acos(-1.0);
const int N = 100010;
const int M = 320;
struct Block
{
    int l, r;
};
Block B[M];
vector<int>prepos[N];
int arr[N], pre[N], ori[N], belong[N];
int unit, bcnt;
 
void reset(int bx)
{
    sort(pre + B[bx].l, pre + B[bx].r + 1);
}
void init(int n)
{
    int i;
    unit = sqrt(n);
    bcnt = n / unit;
    if (n % unit)
        ++bcnt;
    for (i = 1; i <= bcnt; ++i)
    {
        B[i].l = (i - 1) * unit + 1;
        B[i].r = i * unit;
    }
    B[bcnt].r = n;
    for (i = 1; i <= n; ++i)
        belong[i] = (i - 1) / unit + 1;
    for (i = 1; i <= bcnt; ++i)
        reset(i);
}
int bs(int bx, int key)
{
    int ans = -1;
    int L = B[bx].l, R = B[bx].r;
    while (L <= R)
    {
        int mid = MID(L, R);
        if (pre[mid] < key)
        {
            ans = mid;
            L = mid + 1;
        }
        else
            R = mid - 1;
    }
    return ~ans ? ans - B[bx].l + 1 : 0;
}
int query(int l, int r)
{
    int bl = belong[l], br = belong[r];
    int ans = 0;
    if (bl == br)
    {
        for (int i = l; i <= r; ++i)
            if (ori[i] < l)
                ++ans;
    }
    else
    {
        for (int i = l; i <= B[bl].r ; ++i)
            if (ori[i] < l)
                ++ans;
        for (int i = B[br].l; i <= r; ++i)
            if (ori[i] < l)
                ++ans;
        for (int i = bl + 1; i < br; ++i)
            ans += bs(i, l);
    }
    return ans;
}
int main(void)
{
    int n, k, i;
    scanf("%d%d", &n, &k);
    for (i = 1; i <= n; ++i)
    {
        scanf("%d", &arr[i]);
        int sz = prepos[arr[i]].size();
        if (sz < k)
        {
            pre[i] = 0;
        }
        else
            pre[i] = prepos[arr[i]][sz - k];
        ori[i] = pre[i];
        prepos[arr[i]].push_back(i);
    }
    init(n);
    int last = 0;
    int q;
    scanf("%d", &q);
    while (q--)
    {
        int l, r;
        scanf("%d%d", &l, &r);
        l = (l + last) % n + 1;
        r = (r + last) % n + 1;
        if (l > r)
            swap(l, r);
        printf("%d\n", last = query(l, r));
    }
    return 0;
}