#include #include using namespace std; using namespace atcoder; using lint = long long; using ulint = unsigned long long; #define endl '\n' int const INF = 1<<30; lint const INF64 = 1LL<<61; // lint const mod = 1e9+7; // using mint = modint1000000007; long const mod = 998244353; using mint = modint998244353; lint ceilDiv(lint x, lint y){if(x >= 0){return (x+y-1)/y;}else{return x/y;}} lint floorDiv(lint x, lint y){if(x >= 0){return x/y;}else{return (x-y+1)/y;}} lint Sqrt(lint x){lint upper = 1e9;lint lower = 0;while(upper - lower > 0){lint mid = (1+upper + lower)/2;if(mid * mid > x){upper = mid-1;}else{lower = mid;}}return upper;} lint gcd(lint a,lint b){if(a&v){lint ans = INF64;for(lint i:v){ans = min(ans, i);}return ans;} lint chmax(vector&v){lint ans = -INF64;for(lint i:v){ans = max(ans, i);}return ans;} double dist(double x1, double y1, double x2, double y2){return sqrt(pow(x1-x2, 2) + pow(y1-y2,2));} string toString(lint n){string ans = "";if(n == 0){ans += "0";}else{while(n > 0){int a = n%10;char b = '0' + a;string c = "";c += b;n /= 10;ans = c + ans;}}return ans;} string toString(lint n, lint k){string ans = toString(n);string tmp = "";while(ans.length() + tmp.length() < k){tmp += "0";}return tmp + ans;} vectorprime;void makePrime(lint n){prime.push_back(2);for(lint i=3;i<=n;i+=2){bool chk = true;for(lint j=0;j>; int main(){ using llint = __int128_t; lint n,m,k,t; cin >> n >> m >> k >> t; lint a[k], b[k], c[k], d[k]; bool chk = false; rep(i, k) { cin >> a[i] >> b[i] >> c[i] >> d[i]; c[i]--; if(c[i] >= 1) chk = true; } if(n + m - 2 <= t) { cout << 0 << endl; return 0; } if(!chk) { cout << -1 << endl; return 0; } lint upper = INF64; lint lower = 0; while(upper > lower) { lint mid = (upper + lower ) / 2; priority_queue>que; que.push({-0, mid, 1, 1}); chk = false; while(!que.empty()) { auto q = que.top(); que.pop(); llint x = q[2], y = q[3]; llint time = -q[0]; llint power = q[1]; if(time + n+m - x - y <= t) { chk = true; break; } rep(i, k) { if(power >= d[i]) { llint tt = c[i] * (power / d[i]); que.push({-time+tt-abs((lint)(x+y-a[i]-b[i])), power%d[i],a[i], b[i]}); } } } if(chk) { upper = mid; } else { lower = mid + 1; } } cout << upper << endl; }