1, 0.0;
2, 2.273;
3, 4.547;
4, 6.828;
5, 9.126;
6, 11.452;
7, 13.82;
8, 16.246;
9, 18.751;
10, 21.357;
11, 24.094;
12, 26.995;
13, 30.095;
14, 33.427;
15, 37.011;
16, 40.832;
17, 44.828;
18, 48.905;
19, 52.95;
20, 56.065;
21, 58.579;
22, 60.831;
23, 62.953;
24, 65.013;
25, 67.053;
26, 69.091;
27, 71.128;
28, 73.165;
29, 75.203;
30, 77.24;
31, 79.278;
32, 81.317;
33, 83.358;
34, 85.403;
35, 87.453;
36, 89.509;
37, 91.576;
38, 93.654;
39, 95.748;
40, 97.861;
41, 99.998;
42, 102.162;
43, 104.359;
44, 106.595;
45, 108.876;
46, 111.21;
47, 113.606;
48, 116.072;
49, 118.618;
50, 121.256;
51, 123.996;
52, 126.848;
53, 129.82;
54, 132.915;
55, 136.128;
56, 139.44;
57, 142.819;
58, 146.228;
59, 149.635;
60, 153.009;
61, 156.271;
62, 159.348;
63, 162.208;
64, 164.849;
65, 167.296;
66, 169.592;
67, 171.842;
68, 174.108;
69, 176.392;
70, 178.696;
71, 181.023;
72, 183.376;
73, 185.754;
74, 188.159;
75, 190.592;
76, 193.054;
77, 195.546;
78, 198.069;
79, 200.625;
80, 203.214;
81, 205.837;
82, 208.496;
83, 211.19;
84, 213.921;
85, 216.69;
86, 219.497;
87, 222.343;
88, 225.228;
89, 228.151;
90, 231.113;
91, 234.112;
92, 237.146;
93, 240.217;
94, 243.321;
95, 246.433;
96, 249.555;
97, 252.404;
98, 255.081;
99, 257.627;
100, 260.074;
101, 262.449;
102, 264.767;
103, 267.042;
104, 269.284;
105, 271.501;
106, 273.701;
107, 275.887;
108, 278.064;
109, 280.234;
110, 282.401;
111, 284.567;
112, 286.733;
113, 288.905;
114, 291.084;
115, 293.282;
116, 295.514;
117, 297.797;
118, 300.15;
119, 302.596;
120, 305.164;
121, 307.885;
122, 310.797;
123, 313.926;
124, 317.217;
125, 320.52;
126, 323.719;
127, 326.74;
128, 329.558;
129, 332.197;
130, 334.699;
131, 337.111;
132, 339.475;
133, 341.825;
134, 344.171;
135, 346.548;
136, 349.169;
137, 352.291;
138, 355.937;
139, 359.681;
140, 362.77;
141, 365.333;
142, 368.015;
143, 370.751;
144, 373.544;
145, 376.397;
146, 379.315;
147, 382.305;
148, 385.372;
149, 388.526;
150, 391.776;
151, 395.131;
152, 398.606;
153, 402.189;
154, 405.766;
155, 409.307;
156, 412.782;
157, 416.165;
158, 419.439;
159, 422.596;
160, 425.633;
161, 428.552;
162, 431.358;
163, 434.06;
164, 436.665;
165, 439.187;
166, 441.648;
167, 444.087;
168, 446.523;
169, 448.957;
170, 451.385;
171, 453.809;
172, 456.227;
173, 458.638;
174, 461.043;
175, 463.44;
176, 465.83;
177, 468.211;
178, 470.584;
179, 472.948;
180, 475.304;
181, 477.65;
182, 479.987;
183, 482.315;
184, 484.633;
185, 486.943;
186, 489.243;
187, 491.534;
188, 493.815;
189, 496.088;
190, 498.352;
191, 500.607;
192, 502.853;
193, 505.091;
194, 507.32;
195, 509.542;
196, 511.755;
197, 513.962;
198, 516.16;
199, 518.352;
200, 520.537;
201, 522.715;
202, 524.886;
203, 527.052;
204, 529.212;
205, 531.367;
206, 533.516;
207, 535.661;
208, 537.801;
209, 539.937;
210, 542.069;
211, 544.197;
212, 546.323;
213, 548.446;
214, 550.566;
215, 552.685;
216, 554.803;
217, 556.919;
218, 559.036;
219, 561.21;
220, 563.576;
221, 566.203;
222, 569.139;
223, 572.391;
224, 575.903;
225, 579.572;
226, 583.304;
227, 587.046;
228, 590.781;
229, 594.492;
230, 598.169;
231, 601.797;
232, 605.363;
233, 608.858;
234, 612.273;
235, 615.603;
236, 618.844;
237, 621.995;
238, 625.056;
239, 628.026;
240, 630.909;
241, 633.706;
242, 636.42;
243, 639.056;
244, 641.616;
245, 644.104;
246, 646.524;
247, 648.879;
248, 651.174;
249, 653.413;
250, 655.602;
251, 657.769;
252, 659.942;
253, 662.125;
254, 664.323;
255, 666.538;
256, 668.774;
257, 671.033;
258, 673.32;
259, 675.638;
260, 677.991;
261, 680.381;
262, 682.814;
263, 685.292;
264, 687.819;
265, 690.399;
266, 693.037;
267, 695.736;
268, 698.5;
269, 701.332;
270, 704.237;
271, 707.217;
272, 710.274;
273, 713.41;
274, 716.625;
275, 719.917;
276, 723.284;
277, 726.719;
278, 730.216;
279, 733.764;
280, 737.35;
281, 740.956;
282, 744.59;
283, 748.638;
284, 754.22;
285, 762.073;
