 # Reward for Inventing the Game of Chess

The person who had invented Chess, went to his king and showed this Game, After seeing the Game and its use in Tactics, the King asked the person for compensation, Here’s what he asked for:

The person asked the donation of Rice grain in the order of 2^0, 2^1, 2^2……i.e. He asked the king to place 2^0 (2^0 = 1) in the First cell, 2^1 (2^1 = 2) in the Second one, 2^2 (2^2 = 4) in the Third one and so on till the last i.e. 64th cell.

The king became furious and considered this demand for compensation as an Insult but, His ministers found that till they reach at the final cell i.e 64th , the amount of Rice grain i.e. 2^64 would be so high that Rice from his entire Kingdom wont be sufficient to fulfill the Demand of the Inventor, because

2^0 = 1

2^1 = 2

2^2 = 4

2^3=8

2^4=16

2^5=32

2^6=64

2^7=128

2^8=256

2^9=512

2^10=1024

2^11=2048

2^12=4096

2^13=8192

2^14=16384

2^15=32768

2^16=65536

2^17=131072

2^18=262144

2^19=524288

2^20=1048576

2^21=2097152

2^22=4194304

2^23=8388608

2^24 =16777216

2^25 =33554432

2^26 =67108864

2^27 =134217728

2^28 =268435456

2^29 =536870912

2^30 =1073741824

2^31 =2147483648

2^32 =4294967296

2^33 =8589934592

2^34 =17179869184

2^35 =34359738368

2^36 =68719476736

2^37 =137438953472

2^38 =274877906944

2^39 =549755813888

2^40 =1099511627776

2^41 =2.1990233e+12

2^42 =4.3980465e+12

2^43 =8.796093e+12

2^44 =1.7592186e+13

2^45 =3.5184372e+13

2^46 =7.0368744e+13

2^47 =1.4073749e+14

2^48 =2.8147498e+14

2^49 =5.6294995e+14

2^50 =1.1258999e+15

2^51 =2.2517998e+15

2^52 =4.5035996e+15

2^53 =9.0071993e+15

2^54 =1.8014399e+16

2^55 =3.6028797e+16

2^56 =7.2057594e+16

2^57 =1.4411519e+17

2^58 =2.8823038e+17

2^59 =5.7646075e+17

2^60 =1.1529215e+18

2^61 =2.305843e+18

2^62 =4.611686e+18

2^63 =9.223372e+18

2^64 =1.8446744e+19