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10 months ago
struct Num { rdigits: Vec<u8> }
impl Num {
pub fn from(s: &String) -> Num {
let rd: Vec<u8> = s.chars().rev()
.map(|c| String::from(c).parse::<u8>().unwrap())
.collect();
Num { rdigits: rd }
}
pub fn fromn(n: u32) -> Num {
let mut rd = Vec::<u8>::new();
let mut nn = n;
while nn > 0 {
let d = (nn % 10) as u8;
rd.push(d);
nn /= 10;
}
Num { rdigits: rd }
}
pub fn add(&self, n: &Num) -> Num {
let mut xs = self.rdigits.clone();
let mut ys = n.rdigits.clone();
let mut rs: Vec<u8> = Vec::new();
while xs.len() < ys.len() { xs.push(0); }
while ys.len() < xs.len() { ys.push(0); }
let mut rm = 0u8;
for (a, b) in xs.iter().zip(ys.iter()) {
if a + b + rm > 9 {
rs.push((a + b + rm) - 10);
rm = 1u8;
} else {
rs.push(a + b + rm);
rm = 0u8;
}
}
if rm > 0 { rs.push(1u8); }
Num { rdigits: rs }
}
pub fn mult(&self, n: u32) -> Num {
let mut res = self.add(&Num::fromn(0));
for n in 1..n {
res = res.add(&self);
}
return res;
}
pub fn pow(&self, n: u32) -> Num {
let mut res = self.add(&Num::fromn(0));
let m = res.as_10();
for n in 1..n {
res = res.mult(m);
}
return res;
}
pub fn print_10(&self) {
for d in self.rdigits.iter().rev().take(10) { print!("{}", d); }
println!("");
}
pub fn as_10(&self) -> u32 {
let mut res = 0u32;
assert!(self.rdigits.len() < 8);
for d in self.rdigits.iter().rev() {
res *= 10;
res += *d as u32;
}
return res;
}
pub fn dsum(&self) -> u64 {
let mut res = 0u64;
for d in self.rdigits.iter() { res += *d as u64; }
return res;
}
}
fn main() {
let mut best_sum = 0u64;
for a in 1..100 {
for b in 1..100 {
let mut t = Num::fromn(a);
t = t.pow(b);
//let k = t.as_10();
//println!("{}", k);
//t.print_10();
let dsum = t.dsum();
println!("{}^{} = {}", a, b, dsum);
if dsum > best_sum {
best_sum = dsum;
}
}
}
println!("{}", best_sum);
}