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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Modular-exponentiation/GAP/modular-exponentiation.gap Normal file
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# Built-in
a := 2988348162058574136915891421498819466320163312926952423791023078876139;
b := 2351399303373464486466122544523690094744975233415544072992656881240319;
PowerModInt(a, b, 10^40);
1527229998585248450016808958343740453059
# Implementation
PowerModAlt := function(a, n, m)
local r;
r := 1;
while n > 0 do
if IsOddInt(n) then
r := RemInt(r*a, m);
fi;
n := QuoInt(n, 2);
a := RemInt(a*a, m);
od;
return r;
end;
PowerModAlt(a, b, 10^40);