hdu 3627 Giant For 离散化+线段树 在一个二维平面内任意的添加一个点和删除一个点，然后来寻找一个横纵坐标都比已经添加的点大的点，首先选择横坐标最小的，其次是纵坐标最小的

Problem Description

It is known to us all that YY and LMY are mathematics lovers. They like to find and solve interesting mathematic problems together. Now LMY designs a game for matrix. There is a large matrix whose rows and columns are both not more than 1000000000. And there are three operations for the matrix:
1) add: Mark an element in the matrix. It is guaranteed that the element has not been marked before.
2) remove: Delete an element’s mark. It is guaranteed that the element has been marked before.
3) find: For a given element’s row and column, return a marked element’s row and column, where the marked element’s row and column are larger than the given element’s row and column respectively. If there are multiple solutions, return the element whose row is the smallest; and if there are still multiple solutions, return the element whose column is the smallest. If there is no solution, return -1.
LMY lets YY develop a program to solve the problem. Could you also develop a program to solve the problem?

 

 

Input

The input consists of multiple test cases. For each test case, the first line contains only one integer n. n ≤ 200000. Each of the next n lines describes an operation. There is a blank line between two consecutive test cases.
End of input is indicated by a line containing a zero.

 

 

Output

Start each test case with "Case #:" on a single line, where # is the case number starting from 1. For each “find” operation, output the result. The format is showed as sample output. There is a blank line between two consecutive test cases.

 

 

Sample Input

  
  

   
   5
add 48 1
add 25 69
add 88 52
remove 25 69
add 23 89

10
add 47 23
find 66 83
find 27 73
add 84 97
find 10 58
remove 47 23
add 41 89
remove 41 89
find 65 68
add 25 41

0
  
  

 

 

Sample Output

  
  

   
   Case 1:

Case 2:
-1
-1
84 97
84 97
  
  

 

 //

 

#include <cstdio>
#include <cstring>
#include <set>
#include <algorithm>
using namespace std;
#define MAXN 200000

int sx[MAXN], tot;

set<int> sy[MAXN];

struct Node {
    int _a, _b;
    Node *_left, *_right;
    int _max_y;
} nodes[MAXN * 2], *ptr;

void build_tree(int a, int b) {
    Node* root = ++ptr;
    root->_a = a; root->_b = b; root->_max_y = -1;
    if (root->_a == root->_b) {
        root->_left = root->_right = 0;
        return;
    }
    root->_left = ptr + 1;
    build_tree(a, (a + b) / 2);
    root->_right = ptr + 1;
    build_tree((a + b) / 2 + 1, b);
}

int lx, ly;
char lo;

void modify(Node* root) {
    if (root->_a == root->_b) {
        if (lo == 'a') {
            sy[root->_a].insert(ly);
            root->_max_y = *sy[root->_a].rbegin();
        } else {
            sy[root->_a].erase(ly);
            if (sy[root->_a].size() == 0)
                root->_max_y = -1;
            else
                root->_max_y = *sy[root->_a].rbegin();
        }
        return;
    }
    int mid = (root->_a + root->_b) / 2;
    if (lx <= sx[mid])
        modify(root->_left);
    else
        modify(root->_right);
    root->_max_y = max(root->_left->_max_y, root->_right->_max_y);
}

int la, lb;

int query(Node* root) {
    if (la <= root->_a && root->_b <= lb)
        return root->_max_y;
    int mid = (root->_a + root->_b) / 2, res = -1;
    if (la <= mid)
        res = query(root->_left);
    if (mid < lb)
        res = max(res, query(root->_right));
    return res;
}

int get_x_index(int x, int y) {
    int pos = upper_bound(sx, sx + tot, x) - sx, r = tot - 1, mid, l = pos - 1;
    if (pos == tot)
        return -1;
    la = pos, lb = tot - 1;
    if (query(nodes + 1) <= y)
        return -1;
    while (l + 1 != r) {
        mid = (l + r) / 2;
        la = pos; lb = mid;
        if (query(nodes + 1) > y)
            r = mid;
        else
            l = mid;
    }
    return r;
}

struct QNode {
    int _x, _y;
    char _opt[10];
} q[MAXN];

int main() {
    int n, cas = 0;
    while (scanf("%d", &n) != EOF) {
        if (n == 0) break;
        tot = 0;
        for (int i = 0; i < n; ++i) {
            scanf("%s%d%d", q[i]._opt, &q[i]._x, &q[i]._y);
            if (q[i]._opt[0] == 'a')
                sx[tot++] = q[i]._x;
        }
        sort(sx, sx + tot);
        tot = unique(sx, sx + tot) - sx;
        ptr = nodes;
        build_tree(0, tot - 1);

        if (cas)
            putchar('\n');
        printf("Case %d:\n", ++cas);
        int idx;
        for (int i = 0; i < n; ++i)
            switch (q[i]._opt[0]) {
            case 'a': case 'r':
                lx = q[i]._x;
                ly = q[i]._y;
                lo = q[i]._opt[0];
                modify(nodes + 1);
                break;
            case 'f':
                idx = get_x_index(q[i]._x, q[i]._y);
                if (idx == -1)
                    puts("-1");
                else
                    printf("%d %d\n", sx[idx], *sy[idx].upper_bound(q[i]._y));
            }

        for (int i = 0; i < tot; ++i)
            sy[i].clear();
    }
    return 0;
}