题目描述

如图所示的螺旋折线经过平面上所有整点恰好一次。
对于整点(X, Y)，我们定义它到原点的距离dis(X, Y)是从原点到(X, Y)的螺旋折线段的长度。
例如dis(0, 1)=3, dis(-2, -1)=9

给出整点坐标(X, Y)，你能计算出dis(X, Y)吗？

输入格式

X 和 Y

输出格式

输出dis(X, Y)

样例输入

0 1

样例输出

3

解题思路

本来看的C语言网的，没提示数据大小，直接用的模拟，四个循环表示往四个方向走，走得步长是length，cnt表示方向个数，可以看到没换两次方向，length+1，distance表示总距离

代码：

代码略复杂，最后过了一半的样例，做的时候没想到找规律

import os
import sys

x_0,y_0 = map(int,input().split())
# print("x_0:",x_0,"y_0:",y_0)
# 四个方向
# x,y 是坐标
# cnt 是拐的次数，2次后长度+1
# 初始长度length
x = 0
y = 0
length = 1
cnt = 0
distance = 0 # 记录总距离
i = 0 # 小于length继续走

flag = True

# 特殊情况 0 0
if x_0 == 0 and y_0 == 0:
    print(0)
    flag = False
    
while flag:
    while i < length:
        i+=1
        x-=1
        
        distance+=1
        if x == x_0 and y == y_0:
            print(distance)
            flag = False
            break
        if cnt == 2:
            length+=1
            cnt=0
        #print("←","i",i,"(x:",x,"y:",y,")cnt:",cnt,"diatance",distance,"length",length)
    i=0
    cnt+=1
    if not flag: break
    while i < length:
        y+=1
        i+=1
        distance+=1
        if x == x_0 and y == y_0:
            print(distance)
            flag = False
            break
        if cnt == 2:
            length+=1
            cnt=0
        #print("↑","i",i,"(x:",x,"y:",y,")cnt:",cnt,"diatance",distance,"length",length)
    i=0
    cnt+=1
    if not flag: break
    while i < length:
        i+=1
        x+=1
        distance+=1
        if x == x_0 and y == y_0:
            print(distance)
            flag = False
            break
        if cnt == 2:
            length+=1
            cnt=0
        #print("→","i",i,"(x:",x,"y:",y,")cnt:",cnt,"diatance",distance,"length",length)
    i=0
    cnt+=1
    #print("注意！！","i",i,"(x:",x,"y:",y,")cnt:",cnt,"diatance",distance,"length",length)
    if not flag: break
    while i < length:
        i+=1
        y-=1
        distance+=1
        if x == x_0 and y == y_0:
            print(distance)
            flag = False
            break
        if cnt == 2:
            length+=1
            cnt=0
        #print("↓","i",i,"(x:",x,"y:",y,")cnt:",cnt,"diatance",distance,"length",length)
    i=0
    cnt+=1
    if not flag: break

其他人的解法：
看到洛谷的一个题解：P8668 [蓝桥杯 2018 省 B] 螺旋折线 题解