/*
  Self powers
  Problem 48
  The series, 1**1 + 2**2 + 3**3 + ... + 10**10 = 10405071317.

  Find the last ten digits of the series, 1**1 + 2**2 + 3**3 + ... + 1000**1000.
*/
const fp = require('lodash/fp');
const object = require('lodash/fp/object');
const extend = require('lodash/fp/extend');

let modulo = 1e10;

let ns = n => fp.range(1,n+1);
let compute = n => fp.reduce((a,v) => fn(a,v),0)(ns(n));

function fn(a,v){
  let t = v;
  for(let i=1; i<v; i++){
    t *= v;
    t %= modulo;
  }
  a += t;
  return a;
}

let solution = fp.compose(
  fp.join(''),
  fp.takeLast(10),
  fp.toString
)(compute(1000));