MetroEye: Refer to Preogression02
The sequence in which passengers are picked up is 1,2,3.....
So when the sum of consecutive numbers reach 78, the train will be full.
i.e; 1+2+3+......+N = 78
Here S = 78
N = √1+8S−12 = √1+8∗78−12 = √1+624−12 = √625−12 = 25−12 = 12
=> 1+2+3+4+5+6+7+8+9+10+11+12 = 78
So the train will be full after 12 stops.
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