Lottery Game Shares ($LGS)

Total value of each bet purchased ($TV_{bet}$) is computed by multiplying single bet price ($p_{bet}$) and the Total quantity of bet purchased:

$$TV_{bet}=p_{bet}*\sum_{i=0}^nQ(t)_{i}$$

Quantity of $LGS received per bet ($Q(Share)_{i}$) is computed by multiplying the quotient of single bet price ($p_{bet}$) divided by Total value of bet purchased ($TV_{bet}$), and the Amplification Factor ($AF$) at a constant of 10,000,000,000:

$$Q(Share)_{i}=p_{bet}/TV_{bet}*AF$$

Total value of $LGS ($TV_{Share}$) is computed by 20 percent of the Total value of bet purchased ($TV_{bet}$):

$$TV_{Share}=0.2*TV_{bet}$$

Price of $LGS ($p(Share)_{i}$) is computed by dividing the Total value of $LGS ($TV_{Share}$) to the Total quantity of the $LGS ($\sum_{i=0}^nQ(Share)_{i}$):

$$p(Share)_{i}=TV_{Share}/\sum_{i=0}^nQ(Share)_{i}$$

Once the total quantity of purchased bets reaches a certain amount determined by the Fibonacci sequence, the game proceeds to the next round, and the amount of $LGS available decreases accordingly.

Fibonacci Sequence Illustration

$LGS received per bet is calculated as Following: (Same per Round)

$$Share_{bets}=P_{bet}/TV_{bets}*10,000,000,000$$

The table below illustrates how the PBS received by players are calculated each round.

Round	Total Value of Bet Purchased (Fibonacci Sequence)	Value of Bet Purchased Per Round	$IWGS received per Bet	Total $IWGS
1	$100,000	100,000	200,000.00	10,000,000,000
2	$200,000	100,000	100,000.00	15,000,000,000
3	$300,000	100,000	66,666.67	18,333,333,333
4	$500,000	200,000	40,000.00	22,333,333,333
5	$800,000	300,000	25,000.00	26,083,333,333
6	$1,300,000	500,000	15,384.62	29,929,487,179
7	$2,100,000	800,000	9,523.81	33,739,010,989
8	$3,400,000	1,300,000	5,882.35	37,562,540,401
9	$5,500,000	2,100,000	3,636.36	41,380,722,219
10	$8,900,000	3,400,000	2,247.19	45,200,946,938
11	$14,400,000	5,500,000	1,388.89	49,020,391,383
12	$23,300,000	8,900,000	858.369	52,840,133,872
13	$37,700,000	14,400,000	530.504	56,659,762,519
14	$61,000,000	23,300,000	327.869	60,479,434,650
15	$98,700,000	37,700,000	202.634	64,299,090,172
16	$159,700,000	61,000,000	125.235	68,118,752,038
17	$258,400,000	98,700,000	77.399	71,938,411,481
18	$418,100,000	159,700,000	47.835	75,758,071,849
19	$676,500,000	258,400,000	29.564	79,577,731,864
20	$1,094,600,000	418,100,000	18.272	83,397,392,014
21	$1,771,100,000	676,500,000	11.292	87,217,052,112
22	$2,865,700,000	1,094,600,000	6.979	91,036,712,230
23	$4,636,800,000	1,771,100,000	4.313	94,856,372,340
24	$7,502,500,000	2,865,700,000	2.666	98,676,032,453
25	$12,139,300,000	4,636,800,000	1.648	102,495,692,566

The table below shows the value of $LGS in each round.

Round	Initial $LGS value	$LGS value by 25th round	RoR (%)
1	$40.00	$473,748.69	1,184,372
2	$26.67	$236,874.34	888,279
3	$21.82	$157,916.23	723,783
4	$17.91	$94,749.74	529,019
5	$15.34	$59,218.59	386,155
6	$13.36	$36,442.21	272,674
7	$11.86	$22,559.46	190,283
8	$10.65	$13,933.79	130,847
9	$9.67	$8,613.61	89,109
10	$8.85	$5,323.02	60,151
11	$8.16	$3,289.92	40,318
12	$7.57	$2,033.26	26,859
13	$7.06	$1,256.63	17,800
14	$6.61	$776.64	11,743
15	$6.22	$479.99	7,716
16	$5.87	$296.65	5,052
17	$5.56	$183.34	3,297
18	$5.28	$113.31	2,146
19	$5.03	$70.03	1,393
20	$4.80	$43.28	902
21	$4.59	$26.75	583
22	$4.39	$16.53	376
23	$4.22	$10.22	242
24	$4.05	$6.32	156
25	$3.90	$3.90	100