Array Fill III

Source: beecrowd

Version: Phuoc Hung OJ Extended

Problem Statement

Given a real number $X$, construct a real-valued array $N$ containing exactly $100$ elements using

Print every array element with exactly four digits after the decimal point.

Input

One line contains a double-precision real number $X$ written with four digits after the decimal point.

Output

Print exactly $100$ lines. For each $i$ from $0$ through $99$, print N[i] = Y, where $Y=N_i$ is formatted with exactly four digits after the decimal point.

Subtasks

Subtask 1 (100 points): $-10^6\le X\le10^6$. This magnitude bound is part of the Phuoc Hung OJ data configuration; the recurrence and output format are unchanged.

Examples

Input

200.0000

Output

N[0] = 200.0000
N[1] = 100.0000
N[2] = 50.0000
N[3] = 25.0000
N[4] = 12.5000
N[5] = 6.2500
N[6] = 3.1250
N[7] = 1.5625
N[8] = 0.7812
N[9] = 0.3906
N[10] = 0.1953
N[11] = 0.0977
N[12] = 0.0488
N[13] = 0.0244
N[14] = 0.0122
N[15] = 0.0061
N[16] = 0.0031
N[17] = 0.0015
N[18] = 0.0008
N[19] = 0.0004
N[20] = 0.0002
N[21] = 0.0001
N[22] = 0.0000
N[23] = 0.0000
N[24] = 0.0000
N[25] = 0.0000
N[26] = 0.0000
N[27] = 0.0000
N[28] = 0.0000
N[29] = 0.0000
N[30] = 0.0000
N[31] = 0.0000
N[32] = 0.0000
N[33] = 0.0000
N[34] = 0.0000
N[35] = 0.0000
N[36] = 0.0000
N[37] = 0.0000
N[38] = 0.0000
N[39] = 0.0000
N[40] = 0.0000
N[41] = 0.0000
N[42] = 0.0000
N[43] = 0.0000
N[44] = 0.0000
N[45] = 0.0000
N[46] = 0.0000
N[47] = 0.0000
N[48] = 0.0000
N[49] = 0.0000
N[50] = 0.0000
N[51] = 0.0000
N[52] = 0.0000
N[53] = 0.0000
N[54] = 0.0000
N[55] = 0.0000
N[56] = 0.0000
N[57] = 0.0000
N[58] = 0.0000
N[59] = 0.0000
N[60] = 0.0000
N[61] = 0.0000
N[62] = 0.0000
N[63] = 0.0000
N[64] = 0.0000
N[65] = 0.0000
N[66] = 0.0000
N[67] = 0.0000
N[68] = 0.0000
N[69] = 0.0000
N[70] = 0.0000
N[71] = 0.0000
N[72] = 0.0000
N[73] = 0.0000
N[74] = 0.0000
N[75] = 0.0000
N[76] = 0.0000
N[77] = 0.0000
N[78] = 0.0000
N[79] = 0.0000
N[80] = 0.0000
N[81] = 0.0000
N[82] = 0.0000
N[83] = 0.0000
N[84] = 0.0000
N[85] = 0.0000
N[86] = 0.0000
N[87] = 0.0000
N[88] = 0.0000
N[89] = 0.0000
N[90] = 0.0000
N[91] = 0.0000
N[92] = 0.0000
N[93] = 0.0000
N[94] = 0.0000
N[95] = 0.0000
N[96] = 0.0000
N[97] = 0.0000
N[98] = 0.0000
N[99] = 0.0000

Explanation

For $X=200.0000$, $N_0=200.0000$. Repeated halving gives $N_1=100.0000$, $N_2=50.0000$, $N_3=25.0000$, and $N_4=12.5000$. The process continues through index $99$, and every value is printed with four digits after the decimal point.