const modpow = (a, b, n) => { while((b & 1n) == 0n) { b >>= 1n; a = a * a % n; } let r = a; while(true) { b >>= 1n; if(b == 0n) { return r; } a = a * a % n; if((b & 1n) != 0) { r = r * a % n; } } }; const gcd = (a, b) => { while(b != 0n) { let t = a % b; a = b; b = t; } return a; }; const genrand = (start, end) => { if (start >= end) { return start; } let diff = end - start; let r = 1n; while (r < diff) { r = (r << 32n) + BigInt(Math.random() * 4294967296 >>> 0); } return (start + r % diff); } const hrStart = process.hrtime(); let n = null; let a = 2n; process.stdin.setEncoding("utf8"); const reader = require("readline").createInterface({input: process.stdin}); const checkgcd = (x) => { let g = gcd(n, x); if (g > 1n && g < n) { console.log(`! ${g} ${n/g}`); const hrEnd = process.hrtime(hrStart); console.error(`${hrEnd[0]*1e3+hrEnd[1]/1e6}ms`); process.exit(); } } reader.on("line", (l) => { if (n === null) { n = BigInt(l); checkgcd(a); } else { let r = BigInt(l); let t = modpow(a, r >> 1n, n); checkgcd(t - 1n); checkgcd(t + 1n); a = genrand(2n, n - 1n); checkgcd(a); } console.log(`? ${a}`); });