uvalive 4730(並查集+區間修改單點查詢)
阿新 • • 發佈:2019-02-08
題意:有n個城市,編號從0到n-1,給出了這n個城市的座標,初始沒有道路連通,然後有m個指令,road A B:在城市A和城市B之間連線一條雙向道路,保證這條道路不和其他道路在非端點處相交。line C:詢問y = C的水平線和多少個州(連通的城市成為一個州)相交,以及這些州一共包含多少座城市,C小數部分保證為0.5,
題解:因為州是連通的城市,所以要用並查集得到連通分量,兩棵線段樹分別記錄對應縱座標區間內的州的數量和城市的數量,用兩個陣列分別記錄每個連通分量的縱座標上下界,每次有道路加入時都要更新,區間修改用模擬分類討論。注意C是小數,為了查詢對應區間,在區間修改和查詢時分別把下界加1和C向上取整。
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const int N = 100005;
int n, m, sum1[N << 2], sum2[N << 2], addv1[N << 2], addv2[N << 2];
int pa[N], num[N], up[N], down[N];
char str[10];
int get_parent(int x) {
return pa[x] == x ? x : pa[x] = get_parent(pa[x]);
}
void pushup(int k) {
sum1[k] = sum1[k * 2] + sum1[k * 2 + 1];
sum2[k] = sum2[k * 2] + sum2[k * 2 + 1];
}
void pushdown(int k) {
if (addv1[k]) {
addv1[k * 2] += addv1[k];
sum1[k * 2] += addv1[k];
addv1[k * 2 + 1] += addv1[k];
sum1[k * 2 + 1] += addv1[k];
addv1[k] = 0 ;
}
if (addv2[k]) {
addv2[k * 2] += addv2[k];
sum2[k * 2] += addv2[k];
addv2[k * 2 + 1] += addv2[k];
sum2[k * 2 + 1] += addv2[k];
addv2[k] = 0;
}
}
void modify(int k, int left, int right, int l1, int r1, int x, int flag) {
if (l1 > r1)
return;
if (l1 <= left && right <= r1) {
if (!flag) {
addv1[k] += x;
sum1[k] += x;
}
else {
addv2[k] += x;
sum2[k] += x;
}
return;
}
pushdown(k);
int mid = (left + right) / 2;
if (l1 <= mid)
modify(k * 2, left, mid, l1, r1, x, flag);
if (r1 > mid)
modify(k * 2 + 1, mid + 1, right, l1, r1, x, flag);
pushup(k);
}
int query(int k, int left, int right, int c) {
if (left == right)
return k;
pushdown(k);
int mid = (left + right) / 2;
if (c <= mid)
return query(k * 2, left, mid, c);
else
pushup(k);
if (c > mid)
return query(k * 2 + 1, mid + 1, right, c);
else
pushup(k);
}
int main() {
int t;
scanf("%d", &t);
while (t--) {
scanf("%d", &n);
memset(sum1, 0, sizeof(sum1));
memset(sum2, 0, sizeof(sum2));
memset(addv1, 0, sizeof(addv1));
memset(addv2, 0, sizeof(addv2));
int temp1, temp2, maxy = 0;
for (int i = 0; i < n; i++) {
scanf("%d%d", &temp1, &temp2);
pa[i] = i;
num[i] = 1;
up[i] = down[i] = temp2;
maxy = max(maxy, temp2);
}
maxy++;
scanf("%d", &m);
int x, y;
double c;
while (m--) {
scanf("%s", str);
if (str[0] == 'r') {
scanf("%d%d", &x, &y);
int px = get_parent(x);
int py = get_parent(y);
if (px != py) {
if (up[px] > up[py])
swap(px, py);
if (down[py] > up[px]) {
modify(1, 1, maxy, up[px] + 1, down[py], 1, 0);
modify(1, 1, maxy, up[px] + 1, down[py], num[px] + num[py], 1);
modify(1, 1, maxy, down[px] + 1, up[px], num[py], 1);
modify(1, 1, maxy, down[py] + 1, up[py], num[px], 1);
}
else if (down[px] > down[py]) {
modify(1, 1, maxy, down[px] + 1, up[px], -1, 0);
modify(1, 1, maxy, down[py] + 1, down[px], num[px], 1);
modify(1, 1, maxy, up[px] + 1, up[py], num[px], 1);
}
else {
modify(1, 1, maxy, down[py] + 1, up[px], -1, 0);
modify(1, 1, maxy, down[px] + 1, down[py], num[py], 1);
modify(1, 1, maxy, up[px] + 1, up[py], num[px], 1);
}
pa[px] = py;
num[py] += num[px];
down[py] = min(down[py], down[px]);
up[py] = max(up[py], up[px]);
}
}
else {
scanf("%lf", &c);
int k = query(1, 1, maxy, (int)(c + 1));
printf("%d %d\n", sum1[k], sum2[k]);
}
}
}
return 0;
}