题目链接
思路：
二维的$k-d$树，查询的时候其实就是贪心搜索+剪枝，$k-d$树的建树和查询网上很多，插入的时候就是暴力插入。可为啥我的暴力插入超时了，话说应该要像替罪羊树那样维护$k-d$树的平衡性吧。暴力重建+弱剪枝还超时了。

#include<bits/stdc++.h>
#define endl "\n"
typedef long long ll;
const int maxn = 1e6 + 100;
const int INF = 1e9 + 10;
const double alpha = 0.75;
using namespace std;


const int MAX = 100000;
char buf[MAX], *ps = buf, *pe = buf + 1;
inline void rnext() {
    if(++ps == pe) pe = (ps = buf) + fread(buf, sizeof(char), sizeof(buf) / sizeof(char), stdin);
}
template <class T>
inline bool in(T &ans) {
    ans = 0;
    T f = 1;
    if(ps == pe) return false;//EOF
    do{
        rnext();
        if('-' == *ps) f = -1;
    } while(!isdigit(*ps) && ps != pe);
    if(ps == pe) return false;//EOF
    do {
        ans = (ans<<1)+(ans<<3)+*ps-48;
        rnext();
    } while(isdigit(*ps) && ps != pe);
    ans *= f;
    return true;
}
char bufout[MAX], outtmp[50],*pout = bufout, *pend = bufout + MAX;
inline void write() {
    fwrite(bufout, sizeof(char), pout - bufout, stdout);
    pout = bufout;
}
inline void out_char(char c) { *(pout++) = c; if(pout == pend) write(); }
inline void out_str(char *s) {
    while(*s) {
        *(pout++) = *(s++);
        if(pout == pend) write();
    }
}
template <class T>
inline void out_int(T x) {
    if(!x) {
        out_char('0');
        return;
    }
    if(x < 0) x = -x,out_char('-');
    int len = 0;
    while(x) {
        outtmp[len++] = x%10+48;
        x /= 10;
    }
    outtmp[len] = 0;
    for(int i = 0, j = len - 1; i < j; i++,j--) swap(outtmp[i],outtmp[j]);
    out_str(outtmp);
}

struct point {
    int data[2], split;
    point(int x = 0, int y = 0) { data[0] = x; data[1] = y; }
    void input() { in(data[0]); in(data[1]); }
    bool operator < (point p) const {
        if(data[split] != p.data[split]) return data[split] < p.data[split];
        else return data[split ^ 1] < p.data[split ^ 1];
    }
} p[maxn];
struct kd_tree {
    int son[2], size;
    int mn[2], mx[2];
    point p;
} kd[maxn];
int n, m, T, kase = 1, stk[maxn], cnt;

inline void update(int o) {  
    kd[o].size = kd[kd[o].son[0]].size + kd[kd[o].son[1]].size + 1; 
    for(int i = 0; i < 2; i++) {
        kd[o].mn[i] = min(kd[o].mn[i], kd[kd[o].son[0]].mn[i]);
        kd[o].mx[i] = max(kd[o].mx[i], kd[kd[o].son[0]].mx[i]);
        kd[o].mn[i] = min(kd[o].mn[i], kd[kd[o].son[1]].mn[i]);
        kd[o].mx[i] = max(kd[o].mx[i], kd[kd[o].son[1]].mx[i]);
    }
}
inline bool need_build(int o) {
    if(kd[o].size * alpha <= kd[kd[o].son[0]].size) return true;
    if(kd[o].size * alpha <= kd[kd[o].son[1]].size) return true;
    return false;
}
void dfs(int o, int &tot) {
    if(!o) return ;
    p[tot++] = kd[o].p; stk[cnt++] = o;
    dfs(kd[o].son[0], tot);
    dfs(kd[o].son[1], tot);
}
inline void create_node(int &o, point now, int sp) { 
    o = stk[--cnt]; kd[o].son[0] = kd[o].son[1] = 0;
    for(int i = 0; i < 2; i++) kd[o].mn[i] = kd[o].mx[i] = now.data[i];
    kd[o].p = now; kd[o].size = 1;  kd[o].p.split = sp;
}

void build(int &o, int l, int r, int sp) {
    for(int i = l; i <= r; i++) p[i].split = sp;
    int mid = (l + r) >> 1;
    nth_element(p + l, p + mid, p + r + 1);
    create_node(o, p[mid], sp);
    if(l <= mid - 1) build(kd[o].son[0], l, mid - 1, 1 ^ sp);
    if(mid + 1 <= r) build(kd[o].son[1], mid + 1, r, 1 ^ sp);
    update(o);
}

inline int get_dis(point p1, point p2) { return abs(p1.data[0] - p2.data[0]) + abs(p1.data[1] - p2.data[1]); }

inline bool enter(int o, int ans, point now, int now_dis, int sp) {
    if(!o) return false;
    for(int i = 0; i < 2; i++) {
        int da = now.data[i], flag = 0;
        if(i != sp) flag = now_dis;
        if(da <= kd[o].mn[i] && abs(da - kd[o].mn[i]) + flag >= ans) return false;
        if(da >= kd[o].mx[i] && abs(da - kd[o].mx[i]) + flag >= ans) return false;
    }
    return true;
}
void min_distance(int o, point now, int sp, int &ans) {
    if(!o) return ; now.split = sp;
    ans = min(ans, get_dis(now, kd[o].p));
    int nxt = kd[o].p < now, other_son = 1 ^ nxt;
    min_distance(kd[o].son[nxt], now, sp ^ 1, ans);
    int now_dis = abs(kd[o].p.data[sp] - now.data[sp]);
    if(now_dis < ans && enter(kd[o].son[other_son], ans, now, now_dis, sp)) min_distance(kd[o].son[other_son], now, sp ^ 1, ans);
}

void insert(int &o, point now, int sp) {
    if(!o) { create_node(o, now, sp); return ; }
    now.split = sp;
    int s = kd[o].p < now;
    insert(kd[o].son[s], now, sp ^ 1);
    update(o);
    if(!need_build(o)) return ;
    int tot = 0; dfs(o, tot);
    build(o, 0, tot - 1, sp);
}

int main() {
    for(int i = 0; i < maxn - 1; i++) stk[cnt++] = maxn - 1 - i;
    for(int i = 0; i < 2; i++) {
        kd[0].mn[i] = INF;
        kd[0].mx[i] = -INF;
    }
    in(n); in(m);
    kd[0].size = 0;
    for(int i = 0; i < n; i++) p[i].input();
    int root;
    build(root, 0, n - 1, 0);
    for(int i = 0, flag, x, y; i < m; i++) {
        in(flag); in(x); in(y);
        point nxt(x, y);
        if(flag == 1) insert(root, nxt, 0);
        else {
            int ans = INF;
            min_distance(root, nxt, 0, ans);
            out_int(ans); out_char('\n');
        }
    }
    write();
    return 0;
}