/*
Example: 57 * 18
57 18
Halving the first column:
28 18
14
7
3
1
Doubling the second column:
28 36
14 72
7 144
3 288
1 576
Remove rows whose first cell is even:
18
28 36 x
14 72 x
7 144
3 288
1 576
Sum the remaining numbers in the right-hand column:
18
28 -
14 -
7 162
3 288
1 576
====
1026
*/
function ethiopianMultiply(a: number, b: number): number {
let sum: number = 0;
while (a > 0) {
if (a % 2 === 1) { // keep only odd rows
sum += b;
console.log("sum = " + sum);
}
a = Math.floor(a / 2); // halve left side
b = b * 2; // double right side
console.log("a = " + a + " b = " + b);
}
return sum;
}
function main(): void {
const a: number = 57;
const b: number = 18;
console.log(ethiopianMultiply(a, b));
}
main();
/*
run:
sum = 18
a = 28 b = 36
a = 14 b = 72
a = 7 b = 144
sum = 162
a = 3 b = 288
sum = 450
a = 1 b = 576
sum = 1026
a = 0 b = 1152
1026
*/
