Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def dijkstra_heap(N,S,edge):
  d = [[float('inf')]*(N*100+1) for _ in range(N)] #始点0から各頂点への最短距離
  used = [[False]*(N*100+1) for _ in range(N)]
  d[0][S] = 0
  used[0][S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,v,sil in edge[0]:
    if S+sil>=0 and S+sil<=N*100:
      heapq.heappush(edgelist,[w,v,S+sil]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_v,min_sil = heapq.heappop(edgelist)
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_v][min_sil]:
      continue
    d[min_v][min_sil] = min_w
    used[min_v][min_sil] = True
    for w,v,sil in edge[min_v]:
      if min_sil+sil>=0 and min_sil+sil<=N*100 and not used[v][min_sil+sil]:
        heapq.heappush(edgelist,[min_w+w,v,min_sil+sil])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  amax = 0
  for i in range(M):
    u,v,a,b = map(int, input().split())
    amax = max(amax,a)
    edge[u-1].append([b,v-1,-a])
    edge[v-1].append([b,u-1,-a])
  S = min(S,(N-1)*amax)
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i,c])
  D = dijkstra_heap(N,S,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i])
  return ans[1:]
print(*solve(),sep='\n')

Fixed submission:
import heapq
def dijkstra_heap(N,S,Smax,edge):
  d = [float('inf')]*(10**4*N) #始点0から各頂点への最短距離
  used = [False]*(10**4*N)
  d[S] = 0
  used[S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,a in edge[0]:
    v,sil = a//10**4,a%10**4
    if v==0 and S+sil<=Smax:
      heapq.heappush(edgelist,[w,a+S]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
    elif v>0 and S-sil>=0:
      heapq.heappush(edgelist,[w,v*10**4+(S-sil)]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_a = heapq.heappop(edgelist)
    min_v,min_sil = min_a//10**4,min_a%10**4
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_a]:
      continue
    d[min_a] = min_w
    used[min_a] = True
    for w,a in edge[min_v]:
      v,sil = a//10**4,a%10**4
      if v==min_v and min_sil+sil<=Smax and not used[a+min_sil]:
        heapq.heappush(edgelist,[min_w+w,a+min_sil])
      elif v!=min_v and min_sil-sil>=0 and not used[v*10**4+(min_sil-sil)]:
        heapq.heappush(edgelist,[min_w+w,v*10**4+(min_sil-sil)])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  amax = 0
  for i in range(M):
    u,v,a,b = map(int, input().split())
    amax = max(amax,a)
    edge[u-1].append([b,(v-1)*10**4+a])
    edge[v-1].append([b,(u-1)*10**4+a])
  Smax = (N-1)*amax
  S = min(S,Smax)
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i*10**4+c])
  D = dijkstra_heap(N,S,Smax,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i*10**4:(i+1)*10**4])
  return ans[1:]
print(*solve(),sep='\n')

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def dijkstra_heap(N,S,edge):
  S = min(S,5000)
  d = [[float('inf')]*(N*100+1) for _ in range(N)] #始点0から各頂点への最短距離
  used = [[False]*(N*100+1) for _ in range(N)]
  d[0][S] = 0
  used[0][S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,v,sil in edge[0]:
    if S+sil>=0 and S+sil<=N*100:
      heapq.heappush(edgelist,[w,v,S+sil]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_v,min_sil = heapq.heappop(edgelist)
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_v][min_sil]:
      continue
    d[min_v][min_sil] = min_w
    used[min_v][min_sil] = True
    for w,v,sil in edge[min_v]:
      if min_sil+sil>=0 and min_sil+sil<=N*100 and not used[v][min_sil+sil]:
        heapq.heappush(edgelist,[min_w+w,v,min_sil+sil])
  return d

def solve():
  N, M, S = map(int, input().split())
  S = min(S,N*100)
  edge = [[] for _ in range(N)]
  for i in range(M):
    u,v,a,b = map(int, input().split())
    edge[u-1].append([b,v-1,-a])
    edge[v-1].append([b,u-1,-a])
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i,c])
  D = dijkstra_heap(N,S,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i])
  return ans[1:]
print(*solve(),sep='\n')

Fixed submission:
import heapq
def dijkstra_heap(N,S,Smax,edge):
  d = [float('inf')]*(10**4*N) #始点0から各頂点への最短距離
  used = [False]*(10**4*N)
  d[S] = 0
  used[S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,a in edge[0]:
    v,sil = a//10**4,a%10**4
    if v==0 and S+sil<=Smax:
      heapq.heappush(edgelist,[w,a+S]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
    elif v>0 and S-sil>=0:
      heapq.heappush(edgelist,[w,v*10**4+(S-sil)]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_a = heapq.heappop(edgelist)
    min_v,min_sil = min_a//10**4,min_a%10**4
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_a]:
      continue
    d[min_a] = min_w
    used[min_a] = True
    for w,a in edge[min_v]:
      v,sil = a//10**4,a%10**4
      if v==min_v and min_sil+sil<=Smax and not used[a+min_sil]:
        heapq.heappush(edgelist,[min_w+w,a+min_sil])
      elif v!=min_v and min_sil-sil>=0 and not used[v*10**4+(min_sil-sil)]:
        heapq.heappush(edgelist,[min_w+w,v*10**4+(min_sil-sil)])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  amax = 0
  for i in range(M):
    u,v,a,b = map(int, input().split())
    amax = max(amax,a)
    edge[u-1].append([b,(v-1)*10**4+a])
    edge[v-1].append([b,(u-1)*10**4+a])
  Smax = (N-1)*amax
  S = min(S,Smax)
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i*10**4+c])
  D = dijkstra_heap(N,S,Smax,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i*10**4:(i+1)*10**4])
  return ans[1:]
print(*solve(),sep='\n')

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def dijkstra_heap(N,S,edge):
  S = min(S,5000)
  d = [[float('inf')]*5001 for _ in range(N)] #始点0から各頂点への最短距離
  used = [[False]*5001 for _ in range(N)]
  d[0][S] = 0
  used[0][S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,v,sil in edge[0]:
    if S+sil>=0 and S+sil<=5000:
      heapq.heappush(edgelist,[w,v,S+sil]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_v,min_sil = heapq.heappop(edgelist)
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_v][min_sil]:
      continue
    d[min_v][min_sil] = min_w
    used[min_v][min_sil] = True
    for w,v,sil in edge[min_v]:
      if min_sil+sil>=0 and min_sil+sil<=5000 and not used[v][min_sil+sil]:
        heapq.heappush(edgelist,[min_w+w,v,min_sil+sil])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  for i in range(M):
    u,v,a,b = map(int, input().split())
    edge[u-1].append([b,v-1,-a])
    edge[v-1].append([b,u-1,-a])
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i,c])
  D = dijkstra_heap(N,S,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i])
  return ans[1:]
print(*solve(),sep='\n')


Fixed submission:
import heapq
def dijkstra_heap(N,S,Smax,edge):
  d = [float('inf')]*(10**4*N) #始点0から各頂点への最短距離
  used = [False]*(10**4*N)
  d[S] = 0
  used[S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,a in edge[0]:
    v,sil = a//10**4,a%10**4
    if v==0 and S+sil<=Smax:
      heapq.heappush(edgelist,[w,a+S]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
    elif v>0 and S-sil>=0:
      heapq.heappush(edgelist,[w,v*10**4+(S-sil)]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_a = heapq.heappop(edgelist)
    min_v,min_sil = min_a//10**4,min_a%10**4
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_a]:
      continue
    d[min_a] = min_w
    used[min_a] = True
    for w,a in edge[min_v]:
      v,sil = a//10**4,a%10**4
      if v==min_v and min_sil+sil<=Smax and not used[a+min_sil]:
        heapq.heappush(edgelist,[min_w+w,a+min_sil])
      elif v!=min_v and min_sil-sil>=0 and not used[v*10**4+(min_sil-sil)]:
        heapq.heappush(edgelist,[min_w+w,v*10**4+(min_sil-sil)])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  amax = 0
  for i in range(M):
    u,v,a,b = map(int, input().split())
    amax = max(amax,a)
    edge[u-1].append([b,(v-1)*10**4+a])
    edge[v-1].append([b,(u-1)*10**4+a])
  Smax = (N-1)*amax
  S = min(S,Smax)
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i*10**4+c])
  D = dijkstra_heap(N,S,Smax,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i*10**4:(i+1)*10**4])
  return ans[1:]
print(*solve(),sep='\n')

Buggy python submission (verdict: Time Limit Exceeded):
import heapq
def dijkstra_heap(N,S,edge):
  S = min(S,5000)
  d = [[float('inf')]*5001 for _ in range(N)] #始点0から各頂点への最短距離
  used = [[False]*5001 for _ in range(N)]
  d[0][S] = 0
  used[0][S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,v,sil in edge[0]:
    if S+sil>=0 and S+sil<=5000:
      heapq.heappush(edgelist,[w,v,S+sil]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_v,min_sil = heapq.heappop(edgelist)
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_v][min_sil]:
      continue
    d[min_v][min_sil] = min_w
    used[min_v][min_sil] = True
    for w,v,sil in edge[min_v]:
      if min_sil+sil>=0 and min_sil+sil<=5000 and not used[v][min_sil+sil]:
        heapq.heappush(edgelist,[min_w+w,v,min_sil+sil])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  for i in range(M):
    u,v,a,b = map(int, input().split())
    edge[u-1].append([b,v-1,-a])
    edge[v-1].append([b,u-1,-a])
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i,c])
  D = dijkstra_heap(N,S,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i])
  return ans[1:]
print(*solve(),sep='\n')

Fixed submission:
import heapq
def dijkstra_heap(N,S,Smax,edge):
  d = [float('inf')]*(10**4*N) #始点0から各頂点への最短距離
  used = [False]*(10**4*N)
  d[S] = 0
  used[S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,a in edge[0]:
    v,sil = a//10**4,a%10**4
    if v==0 and S+sil<=Smax:
      heapq.heappush(edgelist,[w,a+S]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
    elif v>0 and S-sil>=0:
      heapq.heappush(edgelist,[w,v*10**4+(S-sil)]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_a = heapq.heappop(edgelist)
    min_v,min_sil = min_a//10**4,min_a%10**4
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_a]:
      continue
    d[min_a] = min_w
    used[min_a] = True
    for w,a in edge[min_v]:
      v,sil = a//10**4,a%10**4
      if v==min_v and min_sil+sil<=Smax and not used[a+min_sil]:
        heapq.heappush(edgelist,[min_w+w,a+min_sil])
      elif v!=min_v and min_sil-sil>=0 and not used[v*10**4+(min_sil-sil)]:
        heapq.heappush(edgelist,[min_w+w,v*10**4+(min_sil-sil)])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  amax = 0
  for i in range(M):
    u,v,a,b = map(int, input().split())
    amax = max(amax,a)
    edge[u-1].append([b,(v-1)*10**4+a])
    edge[v-1].append([b,(u-1)*10**4+a])
  Smax = (N-1)*amax
  S = min(S,Smax)
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i*10**4+c])
  D = dijkstra_heap(N,S,Smax,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i*10**4:(i+1)*10**4])
  return ans[1:]
print(*solve(),sep='\n')

Buggy python submission (verdict: Runtime Error):
import heapq
def dijkstra_heap(N,S,edge):
  d = [[float('inf')]*5001 for _ in range(N)] #始点0から各頂点への最短距離
  used = [[False]*5001 for _ in range(N)]
  d[0][S] = 0
  used[0][S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,v,sil in edge[0]:
    if S+sil>=0:
      heapq.heappush(edgelist,[w,v,S+sil]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_v,min_sil = heapq.heappop(edgelist)
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_v][min_sil]:
      continue
    d[min_v][min_sil] = min_w
    used[min_v][min_sil] = True
    for w,v,sil in edge[min_v]:
      if min_sil+sil>=0 and min_sil+sil<=5000 and not used[v][min_sil+sil]:
        heapq.heappush(edgelist,[min_w+w,v,min_sil+sil])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  for i in range(M):
    u,v,a,b = map(int, input().split())
    edge[u-1].append([b,v-1,-a])
    edge[v-1].append([b,u-1,-a])
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i,c])
  D = dijkstra_heap(N,S,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i])
  return ans[1:]
print(*solve(),sep='\n')


Fixed submission:
import heapq
def dijkstra_heap(N,S,Smax,edge):
  d = [float('inf')]*(10**4*N) #始点0から各頂点への最短距離
  used = [False]*(10**4*N)
  d[S] = 0
  used[S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,a in edge[0]:
    v,sil = a//10**4,a%10**4
    if v==0 and S+sil<=Smax:
      heapq.heappush(edgelist,[w,a+S]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
    elif v>0 and S-sil>=0:
      heapq.heappush(edgelist,[w,v*10**4+(S-sil)]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_a = heapq.heappop(edgelist)
    min_v,min_sil = min_a//10**4,min_a%10**4
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_a]:
      continue
    d[min_a] = min_w
    used[min_a] = True
    for w,a in edge[min_v]:
      v,sil = a//10**4,a%10**4
      if v==min_v and min_sil+sil<=Smax and not used[a+min_sil]:
        heapq.heappush(edgelist,[min_w+w,a+min_sil])
      elif v!=min_v and min_sil-sil>=0 and not used[v*10**4+(min_sil-sil)]:
        heapq.heappush(edgelist,[min_w+w,v*10**4+(min_sil-sil)])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  amax = 0
  for i in range(M):
    u,v,a,b = map(int, input().split())
    amax = max(amax,a)
    edge[u-1].append([b,(v-1)*10**4+a])
    edge[v-1].append([b,(u-1)*10**4+a])
  Smax = (N-1)*amax
  S = min(S,Smax)
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i*10**4+c])
  D = dijkstra_heap(N,S,Smax,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i*10**4:(i+1)*10**4])
  return ans[1:]
print(*solve(),sep='\n')

Buggy python submission (verdict: Runtime Error):
import heapq
def dijkstra_heap(N,S,edge):
  d = [[float('inf')]*5001 for _ in range(N)] #始点0から各頂点への最短距離
  used = [[False]*5001 for _ in range(N)]
  d[0][S] = 0
  used[0][S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,v,sil in edge[0]:
    if S+sil>=0:
      heapq.heappush(edgelist,[w,v,S+sil]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_v,min_sil = heapq.heappop(edgelist)
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_v][min_sil]:
      continue
    d[min_v][min_sil] = min_w
    used[min_v][min_sil] = True
    for w,v,sil in edge[min_v]:
      if min_sil+sil>=0 and min_sil+sil<=5000 and not used[v][min_sil+sil]:
        heapq.heappush(edgelist,[min_w+w,v,min_sil+sil])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  for i in range(M):
    u,v,a,b = map(int, input().split())
    edge[u-1].append([b,v-1,-a])
    edge[v-1].append([b,u-1,-a])
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i,c])
  D = dijkstra_heap(N,S,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i])
  return ans[1:]
print(*solve(),sep='\n')


Fixed submission:
import heapq
def dijkstra_heap(N,S,Smax,edge):
  d = [float('inf')]*(10**4*N) #始点0から各頂点への最短距離
  used = [False]*(10**4*N)
  d[S] = 0
  used[S] = True
  edgelist = []
  #edgelist : [(0,S)からの暫定(未確定)最短時間,頂点,銀貨の枚数]のリスト
  #edge[s] : sから出る枝の[重み,頂点,銀貨の枚数]のリスト
  for w,a in edge[0]:
    v,sil = a//10**4,a%10**4
    if v==0 and S+sil<=Smax:
      heapq.heappush(edgelist,[w,a+S]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
    elif v>0 and S-sil>=0:
      heapq.heappush(edgelist,[w,v*10**4+(S-sil)]) #sの隣の点は枝の重さがそのまま暫定最短距離となる
  while len(edgelist):
    #まだ使われてない頂点の中から最小の距離のものを探す→確定させる
    min_w,min_a = heapq.heappop(edgelist)
    min_v,min_sil = min_a//10**4,min_a%10**4
    #min_w,min_v,min_sil : [0からの(確定)最短距離,頂点,銀貨の枚数]
    if used[min_a]:
      continue
    d[min_a] = min_w
    used[min_a] = True
    for w,a in edge[min_v]:
      v,sil = a//10**4,a%10**4
      if v==min_v and min_sil+sil<=Smax and not used[a+min_sil]:
        heapq.heappush(edgelist,[min_w+w,a+min_sil])
      elif v!=min_v and min_sil-sil>=0 and not used[v*10**4+(min_sil-sil)]:
        heapq.heappush(edgelist,[min_w+w,v*10**4+(min_sil-sil)])
  return d

def solve():
  N, M, S = map(int, input().split())
  edge = [[] for _ in range(N)]
  amax = 0
  for i in range(M):
    u,v,a,b = map(int, input().split())
    amax = max(amax,a)
    edge[u-1].append([b,(v-1)*10**4+a])
    edge[v-1].append([b,(u-1)*10**4+a])
  Smax = (N-1)*amax
  S = min(S,Smax)
  for i in range(N):
    c,d = map(int, input().split())
    edge[i].append([d,i*10**4+c])
  D = dijkstra_heap(N,S,Smax,edge)
  ans = [0]*N
  for i in range(1,N):
    ans[i] = min(D[i*10**4:(i+1)*10**4])
  return ans[1:]
print(*solve(),sep='\n')