CodeForces - 404B(類比題)

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Marathon

Time Limit: 1000MS

Memory Limit: 262144KB

64bit IO Format: %I64d & %I64u

Submit Status

Description

Valera takes part in the Berland Marathon. The marathon race starts at the stadium that can be represented on the plane as a square whose lower left corner is located at point with coordinates (0, 0) and the length of the side equals a meters. The sides of the square are parallel to coordinate axes.

As the length of the marathon race is very long, Valera needs to have extra drink during the race. The coach gives Valera a bottle of drink eachd meters of the path. We know that Valera starts at the point with coordinates (0, 0) and runs counter-clockwise. That is, when Valera coversa meters, he reaches the point with coordinates (a, 0). We also know that the length of the marathon race equals nd + 0.5 meters.

Help Valera‘s coach determine where he should be located to help Valera. Specifically, determine the coordinates of Valera‘s positions when he covers d, 2·d, ..., n·d meters.

Input

The first line contains two space-separated real numbers a and d(1 ≤ a, d ≤ 10^{5), given with precision till 4 decimal digits after the decimal point. Number a denotes the length of the square‘s side that describes the stadium. Number d shows that after each d meters Valera gets an extra drink.}

The second line contains integer n(1 ≤ n ≤ 10^{5) showing that Valera needs an extra drink n times.}

Output

Print n lines, each line should contain two real numbers x_{i and yi, separated by a space. Numbers xi and yi in the i-th line mean that Valera is at point with coordinates (xi, yi) after he covers i·d meters. Your solution will be considered correct if the absolute or relative error doesn‘t exceed 10^- 4.}

Note, that this problem have huge amount of output data. Please, do not use cout stream for output in this problem.

Sample Input

Input

2 5
2

Output

1.0000000000 2.0000000000
2.0000000000 0.0000000000

Input

4.147 2.8819
6

Output

2.8819000000 0.0000000000
4.1470000000 1.6168000000
3.7953000000 4.1470000000
0.9134000000 4.1470000000
0.0000000000 2.1785000000
0.7034000000 0.0000000000

Source

Codeforces Round #237 (Div. 2)

題目大意：跑馬拉松，有人給遞水。場地是一個邊長為a米的正方形（逆時針跑），
每隔k米就喝一píng水，總共有npíng水。問每次喝水的位置座標。
題目分析：先把k減到一圈以下，然後就能保證不TLE了。隨意類比即可。

#include<stdio.h>int main(){    double a,d,posx,posy,dd;    int n,con;    while(scanf("%lf%lf%d",&a,&dd,&n)!=EOF)    {//1右2上3左4下        con=1;        posx=posy=0;        while(dd>=4*a)dd-=4*a;        d=dd;        while(n--)        {            switch(con)            {                case 1:                {                    if(posx+d<=a)                    {                        posx+=d;                        printf("%.10f %.10f\n",posx,posy);                        d=dd;                    }                    else                    {                        d-=a-posx;                        posx=a;                        n++;                        con++;                    }                    break;                }                case 2:                {                    if(posy+d<=a)                    {                        posy+=d;                        printf("%.10f %.10f\n",posx,posy);                        d=dd;                    }                    else                    {                        d-=a-posy;                        posy=a;                        n++;                        con++;                    }                    break;                }                case 3:                {                    if(posx-d>=0)                    {                        posx-=d;                        printf("%.10f %.10f\n",posx,posy);                        d=dd;                    }                    else                    {                        d-=posx;                        posx=0;                        n++;                        con++;                    }                    break;                }                case 4:                {                    if(posy-d>=0)                    {                        posy-=d;                        printf("%.10f %.10f\n",posx,posy);                        d=dd;                    }                    else                    {                        d-=posy;                        posy=0;                        n++;                        con=1;                    }                    break;                }            }        }    }    return 0;}

 

CodeForces - 404B(類比題)