Buggy python submission (verdict: Time Limit Exceeded):
import sys
sys.setrecursionlimit(100000)
H,W,D=map(int,input().split())
A=[list(map(int,input().split())) for i in range(H)]
mapper={}
for i in range(H):
    for j in range(W):
        mapper[A[i][j]]=(i,j)

Q=int(input().strip())
L=[]
R=[]
dist={}
def search(l,r):
    if l==r:
        return 0
    if (l,r) in dist:
        return dist[l,r]
    else:
        if l+D==r:
            posl=mapper[l]
            posr=mapper[r]
            val= abs(posl[0]-posr[0])+abs(posl[1]-posr[1])
            dist[(l,l+D)]=val
            return val
        else:
            val=search(l,l+D)+search(l+D,r)
            dist[l,r]=val
            return val
for i in range(Q):
    cst=0
    l,r=map(int,input().split())
    print(search(l,r))

Fixed submission:
# 解説読後
import sys
sys.setrecursionlimit(100000)
H,W,D=map(int,input().split())
A=[list(map(int,input().split())) for i in range(H)]
mapper={}
for i in range(H):
    for j in range(W):
        mapper[A[i][j]]=(i,j)

Q=int(input().strip())
dist=[0]*(H*W+1)
for i in range(1,H*W+1):
    if i<=D:
        dist[i] = 0
    else:
        pos1=mapper[i]
        pos2=mapper[i-D]
        dist[i]=dist[i-D]+abs(pos1[0]-pos2[0])+abs(pos1[1]-pos2[1])
for i in range(Q):
    cst=0
    l,r=map(int,input().split())
    print(dist[r]-dist[l])

Buggy python submission (verdict: Runtime Error):
H,W,D=map(int,input().split())
A=[list(map(int,input().split())) for i in range(H)]
mapper={}
for i in range(H):
    for j in range(W):
        mapper[A[i][j]]=(i,j)

Q=int(input().strip())
L=[]
R=[]
dist={}
def search(l,r):
    if l==r:
        return 0
    if (l,r) in dist:
        return dist[l,r]
    else:
        if l+D==r:
            posl=mapper[l]
            posr=mapper[r]
            val= abs(posl[0]-posr[0])+abs(posl[1]-posr[1])
            dist[(l,l+D)]=val
            return val
        else:
            val=search(l,l+D)+search(l+D,r)
            dist[l,r]=val
            return val
for i in range(Q):
    cst=0
    l,r=map(int,input().split())
    print(search(l,r))

Fixed submission:
# 解説読後
import sys
sys.setrecursionlimit(100000)
H,W,D=map(int,input().split())
A=[list(map(int,input().split())) for i in range(H)]
mapper={}
for i in range(H):
    for j in range(W):
        mapper[A[i][j]]=(i,j)

Q=int(input().strip())
dist=[0]*(H*W+1)
for i in range(1,H*W+1):
    if i<=D:
        dist[i] = 0
    else:
        pos1=mapper[i]
        pos2=mapper[i-D]
        dist[i]=dist[i-D]+abs(pos1[0]-pos2[0])+abs(pos1[1]-pos2[1])
for i in range(Q):
    cst=0
    l,r=map(int,input().split())
    print(dist[r]-dist[l])

Buggy python submission (verdict: Time Limit Exceeded):
H,W,D=map(int,input().split())
A=[list(map(int,input().split())) for i in range(H)]
mapper={}
for i in range(H):
    for j in range(W):
        mapper[A[i][j]]=(i,j)
Q=int(input().strip())
L=[]
R=[]
for i in range(Q):
    cst=0
    l,r=map(int,input().split())
    L.append(l)
    R.append(r)
    pos=mapper[l]
    while l!=r:
        l+=D
        npos=mapper[l]
        cst+=abs(pos[0]-npos[0])+abs(pos[1]-npos[1])
        pos=npos
    print(cst)

Fixed submission:
# 解説読後
import sys
sys.setrecursionlimit(100000)
H,W,D=map(int,input().split())
A=[list(map(int,input().split())) for i in range(H)]
mapper={}
for i in range(H):
    for j in range(W):
        mapper[A[i][j]]=(i,j)

Q=int(input().strip())
dist=[0]*(H*W+1)
for i in range(1,H*W+1):
    if i<=D:
        dist[i] = 0
    else:
        pos1=mapper[i]
        pos2=mapper[i-D]
        dist[i]=dist[i-D]+abs(pos1[0]-pos2[0])+abs(pos1[1]-pos2[1])
for i in range(Q):
    cst=0
    l,r=map(int,input().split())
    print(dist[r]-dist[l])