Problem:


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Single Source Shortest Path

For a given weighted graph $G = (V, E)$, find the shortest path from a source to each vertex. For each vertex $u$, print the total weight of edges on the shortest path from vertex $0$ to $u$.

Input

  In the first line, an integer $n$ denoting the number of vertices in $G$ is given. In the following $n$ lines, adjacency lists for each vertex $u$ are respectively given in the following format:

$u$ $k$ $v_1$ $c_1$ $v_2$ $c_2$ ... $v_k$ $c_k$

  Vertices in $G$ are named with IDs $0, 1, ..., n-1$. $u$ is ID of the target vertex and $k$ denotes its degree. $v_i (i = 1, 2, ... k)$ denote IDs of vertices adjacent to $u$ and $c_i$ denotes the weight of a directed edge connecting $u$ and $v_i$ (from $u$ to $v_i$).

Output

  For each vertex, print its ID and the distance separated by a space character in a line respectively. Print in order of vertex IDs.

Constraints

$1 \leq n \leq 100$

$0 \leq c_i \leq 100,000$

$|E| \leq 10,000$

All vertices are reachable from vertex $0$

Sample Input 1

5
0 3 2 3 3 1 1 2
1 2 0 2 3 4
2 3 0 3 3 1 4 1
3 4 2 1 0 1 1 4 4 3
4 2 2 1 3 3

Sample Output 1

0 0
1 2
2 2
3 1
4 3

Reference

Introduction to Algorithms, Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein. The MIT Press.



Sample input:
5
0 3 2 3 3 1 1 2
1 2 0 2 3 4
2 3 0 3 3 1 4 1
3 4 2 1 0 1 1 4 4 3
4 2 2 1 3 3


Sample output:
0 0
1 2
2 2
3 1
4 3

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    v = int(str[2+j])
    c = int(str[3+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    v = int(str[2+j])
    c = int(str[3+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    v = int(str[2+j])
    c = int(str[3+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    v = int(str[2+j])
    c = int(str[3+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '-1'

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    v = int(str[2+j])
    c = int(str[3+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2

for i in range(n):
  if d[i]==inf:
    print '-1'

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    x = 2+j
    y = 3+j
    v = int(str[x])
    c = int(str[y])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for j in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    v = int(str[2+j])
    c = int(str[3+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for j in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k-1):
    v = int(str[2+j])
    c = int(str[3+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for j in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    x = j
    v = int(str[2+x])
    c = int(str[3+x])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for j in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for j in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):

d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    v = str[2+j]
    c = str[3+j]
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    v = int(str[1+j])
    c = int(str[2+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    v = int(str[j])
    c = int(str[j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in xrange(k):
    v = int(str[2+j])
    c = int(str[3+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = raw_input().split()
  u = int(str[0])
  k = int(str[1])
  for j in range(int(k)):
    v = int(str[2+j])
    c = int(str[3+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = map(int, raw_input().split())
  u = int(str[0])
  k = int(str[1])
  for j in range(k):
    v = int(str[2+j])
    c = int(str[3+j])
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = map(int, raw_input().split())
  u = str[0]
  k = str[1]
  for j in range(k):
    v = str[2+j]
    c = str[3+j]
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = map(int, raw_input().split())
  u = str[0]
  k = str[1]
  for j in range(k):
#    v = str[2+j]
#    c = str[3+j]
    M[u][str[2+j]] = str[3+j]
d = [inf for i in range(n)]
color = [0 for i in range(n)]

d[0] = 0
color[0] = 1

while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = map(int, raw_input().split())
  u = str[0]
  k = str[1]
  for j in range(k):
#    v = str[2+j]
#    c = str[3+j]
    M[u][str[2+j]] = str[3+j]
d = [inf for i in range(n)]
color = [0 for i in range(n)]
 
d[0] = 0
color[0] = 1
 
while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
str = []
for i in range(n):
  str = map(int, raw_input().split())
  u = str[0]
  k = str[1]
  for j in range(k):
    v = str[2+j]
    c = str[3+j]
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]
 
d[0] = 0
color[0] = 1
 
while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
str = [0 for i in range(1000)]
for i in range(n):
  str = map(int, raw_input().split())
  u = str[0]
  k = str[1]
  for j in range(k):
    v = str[2+j]
    c = str[3+j]
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]
 
d[0] = 0
color[0] = 1
 
while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = map(int, raw_input().split())
  u = str[0]
  k = str[1]
  for j in range(k):
    v = str[2+u]
    c = str[3+u]
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]
 
d[0] = 0
color[0] = 1
 
while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = map(int, raw_input().split())
  u = str[0]
  k = str[1]
  for j in range(k):
    v = str[2+n]
    c = str[3+n]
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]
 
d[0] = 0
color[0] = 1
 
while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
n = input()
inf = 1000000000
M = [[inf for i in range(n)] for i in range(n)]
for i in range(n):
  str = map(int, raw_input().split())
  u = str[0]
  k = str[1]
  for j in range(k):
    v = str[2+j]
    c = str[3+j]
    M[u][v] = c
d = [inf for i in range(n)]
color = [0 for i in range(n)]
 
d[0] = 0
color[0] = 1
 
while 1:
  minv = inf
  u = -1
  for i in range(n):
    if minv>d[i] and color[i]!=2:
      u = i
      minv = d[i]
    print minv
  if u == -1:
    break
  color[u] = 2
  for v in range(n):
    if color[v]!=2 and M[u][v]!=inf:
      if d[v]>d[u]+M[u][v]:
        d[v] = d[u] + M[u][v]
        color[v] = 1
for i in range(n):
  if d[i]==inf:
    print '%d -1' % i
  else:
    print '%d %d' % (i, d[i])

Submission status: Runtime Error

Solution code:
import sys

def dijkstra(W, n):
    U = [i for i in range(1, n)]
    D = [W[0][i] for i in range(n)]
    D[0] = 0

    while len(U) != 0:
        mind, minu = 100001, -1
        for u in U:
            if D[u] < mind:
                mind, minu = D[u], u
        U.remove(minu)
        for i in range(1, n):
            D[i] = min(D[i], D[minu] + W[minu][i])

    return D

lines = sys.stdin.readlines()
n = int(lines.pop(0))

W = [[100001] * n for _ in range(n)]
for line in lines:
    l = map(int, line.split())
    for i in range(l[1]):
        W[l[0]][l[2 * i + 2]] = l[2 * i + 3]

D = dijkstra(W, n)

for i in range(n):
    print i, D[i]

Submission status: Runtime Error

Solution code:
#coding:utf-8
def Dijkestra(G,n):
    d=[100000000000]*n
    pi=[None]*n
    d[0]=0
    C=[]
    for i in range(n):
        C.append(i)
    
    while len(C)!=0:
        u=C[0]
        for i in range(1,len(C)):
            if d[u]>d[i]:
                u=i
        C.remove(u)
        for i in range(len(G[u])):
            if G[u][i]==-1:
                continue
            elif d[i]>d[u]+G[u][i]:
                d[i]=d[u]+G[u][i]
                pi[i]=u
                        
    for i in range(n):
        print(i,d[i])
    

if __name__=="__main__":
    n=int(input())
    G=[]
    for i in range(n):
        a=[]
        ele=list(map(int,input().split()))
        k=ele[1]
        t=ele[2:]
        v=c=[]
        for j in range(k):
            v=v+[t[2*j]]
            c=c+[t[2*j+1]]
        for j in range(n):
            if j in v:
                a.append(c[v.index(j)])
            else:
                a.append(-1)
        G.append(a)
    Dijkestra(G,n)

Submission status: Runtime Error

Solution code:
import sys
from math import inf

def debug(x, table):
    for name, val in table.items():
        if x is val:
            print('DEBUG:{} -> {}'.format(name, val), file=sys.stderr)
            return None

def SSSP(n, Adj):
    d = [inf] * n
    p = [-1] * n
    checked = [False] * n
    d[0] = 0
    checked[0] = True
    u = 0

    for i in range(n - 1):
        for v, cost in Adj[u]:
            if d[u] + cost < d[v]:
                p[v] = u
                d[v] = d[u] + cost

        min_n = 0
        min_w = inf
        for v in range(n):
            if not checked[v] and d[v] < min_w:
                min_n = v
                min_w = d[v]

        u = min_n
        checked[u] = True

    return d

def solve():
    n = int(input())
    Adj = [[] for i in range(n)]

    for i in range(n):
        u, k, *line = [int(i) for i in input().split()]
        for j in range(k):
            Adj[u].append((line[2*j], line[2*j + 1]))

    # debug(Adj, locals())

    d = SSSP(n, Adj)

    for i in range(n):
        print(i, d[i])

if __name__ == '__main__':
    solve()

Submission status: Runtime Error

Solution code:
INF = float('inf')


def dijkstra(source):
    distance[source] = 0
    parent[source] = -1

    while True:
        mincost = INF
        for i in range(n):
            if color[i] != 'black' and distance[i] < mincost:
                mincost = distance[i]
                u = i

        if mincost == INF:
            break

        color[u] = 'black'

        for v in range(n):
            if color[v] != 'black' and adjMat[u][v] != INF:
                if distance[u] + adjMat[u][v] < distance[v]:
                    distance[v] = distance[u] + adjMat[u][v]
                    parent[v] = u
                    color[v] = 'gray'


n = int(input())
color = ['white'] * n
parent = [-1] * n
distance = [INF] * n

adjMat = [[INF] * n for _ in range(n)]
for i in range(n):
    inputList = list(map(int, input().split()))
    adjRow = inputList[0::2][1:]
    weightRow = inputList[1::2][1:]
    for v, weight in zip(adjRow, weightRow):
        adjMat[i][v] = weight

dijkstra(0)

for index, distance in enumerate(distance):
    print('{} {}').format(index, distance)

Submission status: Runtime Error

Solution code:
def diikstraMethd(G, s):
    # ?????????
    n = len(G)
    # White:0 Gyay:1 Black:2
    color = [0 for _ in range(n)]
    d = [INF for _ in range(n)]
    p = [None for _ in range(n)]

    d[s] = 0

    while True:
        mincost = INF
        for i in range(n):
            if color[i] != 2 and d[i] < mincost:
                mincost = d[i]
                u = i

        if mincost == INF: break

        color[u] = 2

        for v in range(n):
            if color[v] != 2 and M[u][v] != INF:
                if d[u] + M[u][v] < d[v]:
                    d[v] = d[u] + M[u][v]
                    p[v] = u
                    color[u] = 1

    return d

if __name__ == '__main__':
    n = int(input())
    M = [[INF for _ in range(n)] for i in range(n)]
    for _ in range(n):
        tmp = list(map(int, input().split()))
        u = tmp.pop(0)
        k = tmp.pop(0)
        for _ in range(k):
            v = tmp.pop(0)
            c = tmp.pop(0)
            M[u][v] = c
    d = diikstraMethd(M, 0)


    for i in range(n):
        print('{0} {1}'.format(i, d[i]))

Submission status: Runtime Error

Solution code:
def diikstraMethd(G, s):
    # ?????????
    n = len(G)
    # White:0 Gyay:1 Black:2
    color = [0 for _ in range(n)]
    d = [INF for _ in range(n)]
    p = [None for _ in range(n)]

    d[s] = 0

    while True:
        mincost = INF
        for i in range(n):
            if color[i] != 2 and d[i] < mincost:
                mincost = d[i]
                u = i

        if mincost == INF: break

        color[u] = 2

        for v in range(n):
            if color[v] != 2 and M[u][v] != INF:
                if d[u] + M[u][v] < d[v]:
                    d[v] = d[u] + M[u][v]
                    p[v] = u
                    color[u] = 1

    return d

if __name__ == '__main__':
    n = int(input())
    M = [[INF for _ in range(n)] for i in range(n)]
    for _ in range(n):
        tmp = list(map(int, input().split()))
        u = tmp.pop(0)
        k = tmp.pop(0)
        for _ in range(k):
            v = tmp.pop(0)
            c = tmp.pop(0)
            M[u][v] = c
    d = diikstraMethd(M, 0)

    for i in range(n):
        print('{0} {1}'.format(i, d[i]))

Submission status: Runtime Error

Solution code:
import sys
from operator import add

n = int(sys.stdin.readline().strip())
A = [ [0] for i in range(n)]
for i in range(n):
	temp = map(int ,sys.stdin.readline().strip().split(" "))
	A[i] = temp


weight = [None for i in range(n)]
mitayatu=[False for i in range(n)]

def min(array):
	temp = 100000
	index= 0
	for i in range(n):
		if array[i] is not None and mitayatu[i]==False:
			if temp>=array[i]:
				temp = array[i]
				index = i
	return index

def owari():
	for i in mitayatu:
		if i is False:
			return False
	return True
# zero origin
def prim(nodeid):
	#print(nodeid)
	if owari() == True:
		return
	if mitayatu[nodeid]==True:
		return
	mitayatu[nodeid]=True
	for i in range(n):
		if A[nodeid][i]!=-1:
			if weight[i] is None:
				weight[i]=A[nodeid][i]
			elif weight[i]>A[nodeid][i] and mitayatu[i]==False:
				weight[i]=A[nodeid][i]+weight[nodeid]
	prim(min(weight))

weight[0]=0
prim(0)

#print(weight)
print(reduce(add, weight))

Submission status: Runtime Error

Solution code:
INFTY = 1 << 21
WHITE = 0
GRAY = 1
BLACK = 2
 
n = int(input())
M = [list(map(int, input().split())) for i in range(n)]
 
d = [INFTY for i in range(n)]
color = [INFTY for i in range(n)]
 
for i in range(n):
    u = int(input())
    k = int(input())
    for j in range(k):
        v = int(input())
        c = int(input())
        M[u][v] = c
        
def dijkstra():
    global M, d, p, color
    d[0] = 0
    color[0] = GRAY
    while(1):
        minv = INFTY
        u = -1
        for i in range(n):
            if (minv > d[i] and color[i] != BLACK):
                u = i
                minv = d[i]
        if (u == -1):
            break
        color[u] = BLACK
        for v in range(n):
            if (color[v] != BLACK and M[u][v] != INFTY):
                if (d[v] > d[u] + M[u][v]):
                    d[v] = d[u] + M[u][v]
                    color[v] = GRAY
 
print(dijkstra())

Submission status: Runtime Error

Solution code:
INFTY = 1 << 21
WHITE = 0
GRAY = 1
BLACK = 2
 
n = int(input())
M = [list(map(int, input().split())) for i in range(n)]
 
d = [INFTY for i in range(n)]
color = [INFTY for i in range(n)]
 
for i in range(n):
    u = int(input())
    k = int(input())
    for j in range(k):
        v = int(input())
        c = int(input())
        M[u][v] = c
        
def dijkstra():
    global M, d, p, color
    d[0] = 0
    color[0] = GRAY
    while(1):
        minv = INFTY
        u = -1
        for i in range(n):
            if (minv > d[i] and color[i] != BLACK):
                u = i
                minv = d[i]
        if (u == -1):
            break
        color[u] = BLACK
        for v in range(n):
            if (color[v] != BLACK and M[u][v] != INFTY):
                if (d[v] > d[u] + M[u][v]):
                    d[v] = d[u] + M[u][v]
                    color[v] = GRAY
    for i in range(n):
        print(str(i) + " " + str(d[i]))
print(dijkstra())

Submission status: Runtime Error

Solution code:
INFTY = 1 << 21
WHITE = 0
GRAY = 1
BLACK = 2
 
n = int(input())
M = [list(map(int, input().split())) for i in range(n)]
 
d = [INFTY for i in range(n)]
color = [INFTY for i in range(n)]
 
for i in range(n):
    u = int(input())
    k = int(input())
    for j in range(k):
        v = int(input())
        c = int(input())
        M[u][v] = c
        
def dijkstra():
    global M, d, p, color
    d[0] = 0
    color[0] = GRAY
    while(1):
        minv = INFTY
        u = -1
        for i in range(n):
            if (minv > d[i] and color[i] != BLACK):
                u = i
                minv = d[i]
        if (u == -1):
            break
        color[u] = BLACK
        for v in range(n):
            if (color[v] != BLACK and M[u][v] != INFTY):
                if (d[v] > d[u] + M[u][v]):
                    d[v] = d[u] + M[u][v]
                    color[v] = GRAY
    for i in range(n):
        if(d[i] = INFTY):
            d[i] == -1
            print(str(i) + " " + str(d[i]))
dijkstra()

Submission status: Runtime Error

Solution code:
INFTY = 1 << 21
WHITE = 0
GRAY = 1
BLACK = 2
 
n = int(input())
M = [list(map(int, input().split())) for i in range(n)]
 
d = [INFTY for i in range(n)]
color = [WHITE for i in range(n)]
 
for i in range(n):
    u = int(input())
    k = int(input())
    for j in range(k):
        v = int(input())
        c = int(input())
        M[u][v] = c
        
def dijkstra():
    global M, d, color
    d[0] = 0
    color[0] = GRAY
    while(1):
        minv = INFTY
        u = -1
        for i in range(n):
            if (minv > d[i] and color[i] != BLACK):
                u = i
                minv = d[i]
        if (u == -1):
            break
        color[u] = BLACK
        for v in range(n):
            if (color[v] != BLACK and M[u][v] != INFTY):
                if (d[v] > d[u] + M[u][v]):
                    d[v] = d[u] + M[u][v]
                    color[v] = GRAY
    for i in range(n):
        if(d[i] = INFTY):
            d[i] == -1
            print(str(i) + " " + str(d[i]))
dijkstra()