import std.stdio, std.conv, std.string, std.bigint; import std.math, std.random, std.datetime; import std.array, std.range, std.algorithm, std.container; string read(){ static string[] ss; while(!ss.length) ss = readln.chomp.split; string res = ss[0]; ss.popFront; return res; } int[20005] answer; void main(){ int n = read.to!int; // ---------------------------------------------------------------- setAnswer(); answer[n].writeln; return; // ---------------------------------------------------------------- bool[int][] aset; // aset[i][a] is 1 when a is a possible sum of (i) primes aset.length = 1; aset[0][0] = 1; int[] primes = getPrimes(); int[] ans = new int[](20005); ans.fill(-1); foreach_reverse(p; primes){ if(p > n) continue; debug writeln("p: ", p); foreach_reverse(i; 0 .. min(100, n / p)){ while(aset.length <= i + 1){ bool[int] tmp; aset ~= tmp; } foreach(a; aset[i].keys){ auto b = a + p; if(b <= n){ ans[b] = max(ans[b], i + 1); aset[i + 1][b] = 1; debug writeln("b: ", b, " ans: ", ans); } } } debug writeln("aset: ", aset); } ans.writeln; } int[] getPrimes(){ return [2, 3, 5, 7, 11, 13, 17, 19, 23, 29];} void setAnswer(){ answer = [-1,-1,1,1,-1,2,-1,2,2,2,3,1,3,2,3,3,3,4,3,3,3,4,3,4,3,4,4,4,5,4,5,4,4,4,5,4,5,4,5,5, 5,6,5,5,5,6,5,6,5,6,5,6,5,6,5,6,6,6,7,6,7,6,6,6,7,6,7,6,7,6,7,6,7,6,7,7,7,8,7,7, 7,8,7,8,7,7,7,8,7,8,7,8,7,8,7,8,7,8,8,8,9,8,7,8,8,8,9,8,9,8,9,8,9,8,9,8,9,8,9,8, 9,8,9,8,9,8,9,9,9,10,9,10,9,8,9,9,9,10,9,9,9,10,9,10,9,10,9,10,9,10,9,10,9,10,9,10,9,10,10,10, 11,10,9,10,10,10,11,10,11,10,11,10,11,10,11,10,11,10,11,10,11,10,11,10,11,10,11,10,11,10,11,10,11,10,11,11,11,12,11,11, 11,12,11,12,11,11,11,12,11,12,11,12,11,12,11,12,11,12,11,12,11,12,11,12,11,12,11,12,11,12,11,12,11,12,11,12,12,12,13,12, 13,12,12,12,13,12,12,12,13,12,13,12,13,12,13,12,13,12,13,12,13,12,13,12,13,12,13,12,13,12,13,12,13,12,13,12,13,12,13,13, 13,14,13,13,13,14,13,14,13,13,13,14,13,14,13,13,13,14,13,14,13,14,13,14,13,14,13,14,13,14,13,14,13,14,13,14,13,14,13,14, 13,14,13,14,13,14,14,14,15,14,13,14,14,14,15,14,14,14,15,14,15,14,15,14,15,14,15,14,15,14,15,14,15,14,15,14,15,14,15,14, 15,14,15,14,15,14,15,14,15,14,15,14,15,14,15,14,15,14,15,15,15,16,15,14,15,15,15,16,15,16,15,15,15,16,15,16,15,16,15,16, 15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,15,16,16,16, 17,16,17,16,15,16,16,16,17,16,16,16,17,16,17,16,17,16,17,16,17,16,17,16,17,16,17,16,17,16,17,16,17,16,17,16,17,16,17,16, 17,16,17,16,17,16,17,16,17,16,17,16,17,16,17,16,17,16,17,17,17,18,17,16,17,17,17,18,17,18,17,18,17,18,17,18,17,17,17,18, 17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18,17,18, 17,18,17,18,17,18,18,18,19,18,18,18,19,18,19,18,18,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18, 19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,18,19,19,19,20, 19,20,19,19,19,20,19,20,19,19,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20, 19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,19,20,20,20,21,20,19,20,20,20,21,20, 21,20,21,20,21,20,20,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20, 21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,20,21,21,21,22,21,21,21,22,21,20,21,21, 21,22,21,22,21,21,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22, 21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,21,22,22,22,23,22,21,22,22,22, 23,22,22,22,23,22,22,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22, 23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22,23,22, 23,23,23,24,23,22,23,22,23,23,23,24,23,23,23,24,23,24,23,23,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24, 23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24, 23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,23,24,24,24,25,24,24,24,25,24,25,24,24,24,25,24,25,24,25,24,25,24,25,24, 25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24, 25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,24,25,25, 25,26,25,26,25,25,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26, 25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26, 25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,25,26,26,26,27,26,26,26,27,26,27,26,27,26,27,26,27,26,26,26, 27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26, 27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26,27,26, 27,26,27,26,27,26,27,26,27,27,27,28,27,28,27,27,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28, 27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28, 27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,27,28,28,28, 29,28,28,28,29,28,29,28,28,28,29,28,29,28,28,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28, 29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28, 29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,28,29,29,29,30,29,28,29,28,29,28, 29,28,29,28,29,29,29,30,29,29,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30, 29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30, 29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,29,30,30,30, 31,30,30,30,31,30,29,30,30,30,31,30,31,30,29,30,30,30,31,30,30,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30, 31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30, 31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30,31,30, 31,30,31,30,31,30,31,30,31,31,31,32,31,30,31,31,31,32,31,32,31,32,31,32,31,30,31,31,31,32,31,32,31,32,31,32,31,32,31,32, 31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32,31,32, 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33,34,33,34,33,34,33,34,33,34,33,34,33,34,33,34,33,34,33,34,33,34,33,34,33,34,33,34,33,34,33,34,33,34,34,34,35,34,35,34, 33,34,34,34,35,34,34,34,35,34,35,34,34,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34, 35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34, 35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34, 35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,34,35,35,35,36,35,34,35,35,35,36,35,36,35,35,35,36, 35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36, 35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36, 35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36, 35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,35,36,36,36,37,36,35,36,36,36,37,36,36,36,37,36,37,36,37,36, 37,36,37,36,36,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36, 37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36, 37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36, 37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,36,37,37,37,38,37,37,37,38,37,36,37,37,37,38,37,36, 37,37,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38, 37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38, 37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38,37,38, 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