import sys from collections import deque def main(): input = sys.stdin.read().split() idx = 0 N = int(input[idx]); idx +=1 M = int(input[idx]); idx +=1 K = int(input[idx]); idx +=1 T = int(input[idx]); idx +=1 magic = [] for _ in range(K): A = int(input[idx]) - 1; idx +=1 B = int(input[idx]) - 1; idx +=1 C = int(input[idx]); idx +=1 D = int(input[idx]); idx +=1 magic.append( (A, B, C, D) ) # Precompute distance from start (1,1) [0-based] dist_from_start = [[float('inf')] * M for _ in range(N)] q = deque() dist_from_start[0][0] = 0 q.append( (0, 0) ) dx = [-1, 1, 0, 0] dy = [0, 0, -1, 1] while q: x, y = q.popleft() for d in range(4): nx = x + dx[d] ny = y + dy[d] if 0 <= nx < N and 0 <= ny < M: if dist_from_start[nx][ny] > dist_from_start[x][y] + 1: dist_from_start[nx][ny] = dist_from_start[x][y] + 1 q.append( (nx, ny) ) # Precompute distance to end (N, M) [0-based] dist_to_end = [[float('inf')] * M for _ in range(N)] dist_to_end[N-1][M-1] = 0 q = deque() q.append( (N-1, M-1) ) while q: x, y = q.popleft() for d in range(4): nx = x + dx[d] ny = y + dy[d] if 0 <= nx < N and 0 <= ny < M: if dist_to_end[nx][ny] > dist_to_end[x][y] + 1: dist_to_end[nx][ny] = dist_to_end[x][y] + 1 q.append( (nx, ny) ) S_min = dist_from_start[N-1][M-1] if S_min <= T: print(0) return min_fatigue = float('inf') for (A, B, C, D) in magic: if dist_from_start[A][B] == float('inf') or dist_to_end[A][B] == float('inf'): continue if C < 2: continue S_ab = dist_from_start[A][B] + dist_to_end[A][B] denominator = C - 2 if denominator <= 0: continue if S_ab > T: numerator = S_ab - T required_k = (numerator + denominator - 1) // denominator candidate_time = S_ab + required_k * (2 - C) if candidate_time <= T: fatigue = D * required_k if fatigue < min_fatigue: min_fatigue = fatigue if min_fatigue != float('inf'): print(min_fatigue) else: print(-1) if __name__ == "__main__": main()