/* -*- coding: utf-8 -*- * * 12.cc: No.12 限定された素数 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_P = 5000000; /* typedef */ typedef vector vi; struct DCount { int ds[10]; DCount() { memset(ds, 0, sizeof(ds)); } DCount(int _n) { memset(ds, 0, sizeof(ds)); while (_n > 0) { ds[_n % 10] = 1; _n /= 10; } } void inc(int i) { ds[i]++; } void add(const DCount &d) { for (int i = 0; i < 10; i++) ds[i] += d.ds[i]; } bool match(const DCount &d) const { for (int i = 0; i < 10; i++) if (ds[i] == 0 && d.ds[i] > 0) return false; return true; } bool all(const DCount &d) const { for (int i = 0; i < 10; i++) if ((ds[i] == 0 && d.ds[i] > 0) || (ds[i] > 0 && d.ds[i] == 0)) return false; return true; } void print() { for (int i = 0; i < 10; i++) printf("%d ", ds[i]); putchar('\n'); } }; /* global variables */ bool primes[MAX_P + 1]; /* subroutines */ void gen_primes(int maxp, vi &pnums) { memset(primes, true, sizeof(primes)); primes[0] = primes[1] = false; int p; for (p = 2; p * p <= maxp; p++) if (primes[p]) { pnums.push_back(p); for (int q = p * p; q <= maxp; q += p) primes[q] = false; } for (; p <= maxp; p++) if (primes[p]) pnums.push_back(p); } /* main */ int main() { int n; cin >> n; DCount g; for (int i = 0; i < n; i++) { int ai; cin >> ai; g.inc(ai); } //g.print(); vi pnums; gen_primes(MAX_P, pnums); int pn = pnums.size(); vector dcs; for (int i = 0; i < pn; i++) dcs.push_back(DCount(pnums[i])); int maxd = -1; for (int i = 0; i < pn;) { while (i < pn && ! g.match(dcs[i])) i++; if (i >= pn) break; int j = i + 1; DCount dc(dcs[i]); while (j < pn && g.match(dcs[j])) dc.add(dcs[j++]); if (g.all(dc)) { int k = (i > 0) ? pnums[i - 1] + 1 : 1; int l = (j < pn) ? pnums[j] - 1 : MAX_P; int d = l - k; if (maxd < d) maxd = d; } i = j; } printf("%d\n", maxd); return 0; }