// #pragma GCC target("avx2") // #pragma GCC optimize("O3") // #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using lg = long long; using pii = pair; using pll = pair; #define TEST cerr << "TEST" << endl #define AMARI 998244353 //#define AMARI 1000000007 #define TEMOTO ((sizeof(long double) == 16) ? false : true) #define TIME_LIMIT 1200 * (TEMOTO ? 1 : 1000) #define el '\n' #define El '\n' // 疑似乱数(XorShift) unsigned long xor128(void) { static unsigned long x = 123456789, y = 362436069, z = 521288629, w = 88675123; unsigned long t = (x ^ (x << 11)); x = y; y = z; z = w; return (w = (w ^ (w >> 19)) ^ (t ^ (t >> 8))); } #define MULTI_TEST_CASE false void solve(void) { clock_t start = clock(); int n; cin >> n; lg ans = 0; vector a(n); for(int i = 0; i < n; i++){ cin >> a[i]; if(i != n -1)ans += a[i]; } ans += a.back() % a[0]; lg kizyun = ans; vector> v(n,pair(LLONG_MIN / 2,-1)); for(int i = 1; i < n - 1; i++){ lg temp = kizyun; temp -= a[i - 1] % a[i]; temp -= a[i] % a[i + 1]; temp -= a[n - 1] % a[0]; temp += a[i - 1] % a[i + 1]; temp += a[n - 1] % a[i]; temp += a[i] % a[0]; //cerr << i << ' ' << temp - kizyun << el; ans = max(ans,temp); v[i] = pair(temp - kizyun,i); } //sort(v.rbegin(),v.rend()); priority_queue>> que; vector tempvv(1); for(int i = 0; i < n; i++){ tempvv[0] = i; que.push(pair(v[i].first,tempvv)); } int cccnt = 0; while(!que.empty() && clock() - start < TIME_LIMIT){ lg val = que.top().first; //tempには添え字が入っている vector temp = que.top().second; que.pop(); sort(temp.begin(),temp.end()); vector tempv(n); int idx = 0,idx2 = 0; for(int i = 0; i < n; i++){ if(temp[idx] == i){ idx++; continue; } tempv[idx2] = a[i]; idx2++; } lg templl = 0; for(int i = 0; i < idx2 - 1; i++){ templl += tempv[i] % tempv[i + 1]; } do{ for(int i = idx2; i < n; i++){ tempv[i] = a[temp[i - idx2]]; } lg templl = 0; for(int i = idx2 - 1; i < n - 1; i++){ templl += tempv[i] % tempv[i + 1]; } templl += tempv.back() % tempv[0]; ans = max(ans,templl); if(temp.size() >= 5)break; }while(next_permutation(temp.begin(),temp.end())); if(temp.size() == 5)continue; sort(temp.begin(),temp.end()); idx = 0; temp.push_back(2 * n); for(int i = 0; i < n; i++){ if(temp[idx] == i){ idx++; continue; } temp[temp.size() - 1] = i; que.push(pair(val + v[i].first,temp)); } cccnt++; } cout << ans << el; return; } //a = {6545,13043,22287,82918,182145,245798,266209,334121} //ans = 821460 //こっちが隣接して後ろに行った方 //8 6545 13043 22287 82918 182145 245798 266209 334121 //a = {7219,12725,36670,85461,108153,188204,285431,376068} //ans = 726358 //こっちがバラバラに後ろに行った方 //7219 36670 85461 108153 285431 376068 188204 12725 //↑この形で最大を与えるらしい //8 7219 12725 36670 85461 108153 188204 285431 376068 void calc(void) { int n = 8; vector a(n); for(int i = 0; i < n; i++){ if(i == 0)a[i] = xor128() % 10000 + 1; else{ a[i] = a[i - 1] + min(max((unsigned long)0,xor128() % (xor128() / 10000)),(unsigned long)xor128() % 100000) + 1; } } cout << "a = {"; for(int i = 0; i < n; i++){ if(i)cout << ','; cout << a[i]; } cout << "}\n"; lg ans = 0; vector tempv; int cnt = 0; do{ lg temp = 0; for(int i = 0; i < n - 1; i++){ temp += a[i] % a[i + 1]; } temp += a.back() % a[0]; if(temp > ans){ ans = temp; tempv = a; cnt = 0; } if(temp == ans)cnt++; }while(next_permutation(a.begin(),a.end())); int cnt2 = 0; for(int i = 0; i < n - 1; i++){ if(tempv[i] > tempv[i + 1])cnt2++; } if(cnt2 >= 2){ cout << ans << el; cout << cnt << el; for(int i = 0; i < n; i++)cout << tempv[i] << ' '; cout << el; cout << el; } return; } int main(void) { cin.tie(nullptr); ios::sync_with_stdio(false); /* for(int i = 0; i < 1000; i++){ //calc(); } */ int t = 1; if(MULTI_TEST_CASE) cin >> t; while(t--) { solve(); } return 0; }