Buggy python submission (verdict: Runtime Error):
import networkx as nx
from networkx.algorithms.bipartite import hopcroft_karp_matching

n, m = map(int, input().split())

def inside(x, y):
	if 0 <= x < n and 0 <= y < m:
		return True
	else:
		return False

DI = [1, 0, -1, 0]
DJ = [0, 1, 0, -1]

a = [list(input()) for _ in range(n)]
g = nx.Graph()
g.add_nodes_from(range(n*m))
zero = True
for i in range(n):
	for j in range(m):
		if a[i][j] == "#":
			continue
		if (i+j)%2 == 0:
			for k in range(4):
				di, dj = i+DI[k], j+DJ[k]
				if inside(di, dj) and a[di][dj] == ".":
					zero = False
					g.add_edge(i*m+j, di*m+dj)
if zero:
	print(0)
else:
	h = hopcroft_karp_matching(g, top_nodes = {i for i in range(0, n*m, 2)})
	print(len(h)//2)
	for fr, to in h.items():
		i0, j0 = fr//m, fr%m
		i1, j1 = to//m, to%m
		if a[i0][j0] != ".":
			continue
		if i1 == i0+1:
			a[i0][j0] = "v"
			a[i1][j1] = "^"
		elif i1 == i0-1:
			a[i0][j0] = "^"
			a[i1][j1] = "v"
		elif j1 == j0+1:
			a[i0][j0] = ">"
			a[i1][j1] = "<"
		else:
			a[i0][j0] = "<"
			a[i1][j1] = ">"
print(*["".join(x) for x in a], sep="\n")

Fixed submission:
import networkx as nx
from networkx.algorithms.bipartite import hopcroft_karp_matching

n, m = map(int, input().split())

def inside(x, y):
	if 0 <= x < n and 0 <= y < m:
		return True
	else:
		return False

DI = [1, 0, -1, 0]
DJ = [0, 1, 0, -1]

a = [list(input()) for _ in range(n)]
g = nx.Graph()
g.add_nodes_from(range(n*m))
zero = True
top = set()
for i in range(n):
	for j in range(m):
		if a[i][j] == "#":
			continue
		if (i+j)%2 == 0:
			for k in range(4):
				di, dj = i+DI[k], j+DJ[k]
				if inside(di, dj) and a[di][dj] == ".":
					zero = False
					g.add_edge(i*m+j, di*m+dj)
					top.add(i*m+j)
if zero:
	print(0)
else:
	h = hopcroft_karp_matching(g, top_nodes=top)
	print(len(h)//2)
	for fr, to in h.items():
		i0, j0 = fr//m, fr%m
		i1, j1 = to//m, to%m
		if a[i0][j0] != ".":
			continue
		if i1 == i0+1:
			a[i0][j0] = "v"
			a[i1][j1] = "^"
		elif i1 == i0-1:
			a[i0][j0] = "^"
			a[i1][j1] = "v"
		elif j1 == j0+1:
			a[i0][j0] = ">"
			a[i1][j1] = "<"
		else:
			a[i0][j0] = "<"
			a[i1][j1] = ">"
print(*["".join(x) for x in a], sep="\n")

Buggy python submission (verdict: Runtime Error):
import networkx as nx
from networkx.algorithms.bipartite import hopcroft_karp_matching

n, m = map(int, input().split())

def inside(x, y):
	if 0 <= x < n and 0 <= y < m:
		return True
	else:
		return False

DI = [1, 0, -1, 0]
DJ = [0, 1, 0, -1]

a = [list(input()) for _ in range(n)]
g = nx.Graph()
for i in range(0, n*m, 2):
	g.add_node(i, bipartite=0)
for i in range(1, n*m, 2):
	g.add_node(i, bipartite=1)
zero = True
for i in range(n):
	for j in range(m):
		if a[i][j] == "#":
			continue
		if (i+j)%2 == 0:
			for k in range(4):
				di, dj = i+DI[k], j+DJ[k]
				if inside(di, dj) and a[di][dj] == ".":
					zero = False
					g.add_edge(i*m+j, di*m+dj)
if zero:
	print(0)
else:
	h = hopcroft_karp_matching(g, top_nodes = {i for i in range(0, n*m, 2)})
	print(len(h)//2)
	for fr, to in h.items():
		i0, j0 = fr//m, fr%m
		i1, j1 = to//m, to%m
		if a[i0][j0] != ".":
			continue
		if i1 == i0+1:
			a[i0][j0] = "v"
			a[i1][j1] = "^"
		elif i1 == i0-1:
			a[i0][j0] = "^"
			a[i1][j1] = "v"
		elif j1 == j0+1:
			a[i0][j0] = ">"
			a[i1][j1] = "<"
		else:
			a[i0][j0] = "<"
			a[i1][j1] = ">"
print(*["".join(x) for x in a], sep="\n")

Fixed submission:
import networkx as nx
from networkx.algorithms.bipartite import hopcroft_karp_matching

n, m = map(int, input().split())

def inside(x, y):
	if 0 <= x < n and 0 <= y < m:
		return True
	else:
		return False

DI = [1, 0, -1, 0]
DJ = [0, 1, 0, -1]

a = [list(input()) for _ in range(n)]
g = nx.Graph()
g.add_nodes_from(range(n*m))
zero = True
top = set()
for i in range(n):
	for j in range(m):
		if a[i][j] == "#":
			continue
		if (i+j)%2 == 0:
			for k in range(4):
				di, dj = i+DI[k], j+DJ[k]
				if inside(di, dj) and a[di][dj] == ".":
					zero = False
					g.add_edge(i*m+j, di*m+dj)
					top.add(i*m+j)
if zero:
	print(0)
else:
	h = hopcroft_karp_matching(g, top_nodes=top)
	print(len(h)//2)
	for fr, to in h.items():
		i0, j0 = fr//m, fr%m
		i1, j1 = to//m, to%m
		if a[i0][j0] != ".":
			continue
		if i1 == i0+1:
			a[i0][j0] = "v"
			a[i1][j1] = "^"
		elif i1 == i0-1:
			a[i0][j0] = "^"
			a[i1][j1] = "v"
		elif j1 == j0+1:
			a[i0][j0] = ">"
			a[i1][j1] = "<"
		else:
			a[i0][j0] = "<"
			a[i1][j1] = ">"
print(*["".join(x) for x in a], sep="\n")

Buggy python submission (verdict: Time Limit Exceeded):
import networkx as nx
from networkx.algorithms.flow import dinitz

n, m = map(int, input().split())

def inside(x, y):
	if 0 <= x < n and 0 <= y < m:
		return True
	else:
		return False

DI = [1, 0, -1, 0]
DJ = [0, 1, 0, -1]

a = [list(input()) for _ in range(n)]
S, T = n*m, n*m+1
g = nx.DiGraph()
g.add_nodes_from(range(n*m+2))
for i in range(n):
	for j in range(m):
		if a[i][j] == "#":
			continue
		if (i+j)%2:
			g.add_edge(i*m+j, T, capacity=1)
		else:
			g.add_edge(S, i*m+j, capacity=1)
			for k in range(4):
				di, dj = i+DI[k], j+DJ[k]
				if inside(di, dj) and a[di][dj] == ".":
					g.add_edge(i*m+j, di*m+dj, capacity=1)
r = dinitz(g, S, T)
print(r.graph["flow_value"])
#print(*r.edges)
for e in r.edges:
	fr, to = e
	#print(fr, to)
	if fr == S or to == T or r[fr][to]["flow"] < 1:
		continue
	i0, j0 = fr//m, fr%m
	i1, j1 = to//m, to%m
	if i1 == i0+1:
		a[i0][j0] = "v"
		a[i1][j1] = "^"
	elif i1 == i0-1:
		a[i0][j0] = "^"
		a[i1][j1] = "v"
	elif j1 == j0+1:
		a[i0][j0] = ">"
		a[i1][j1] = "<"
	else:
		a[i0][j0] = "<"
		a[i1][j1] = ">"
print(*["".join(x) for x in a], sep="\n")

Fixed submission:
import networkx as nx
from networkx.algorithms.bipartite import hopcroft_karp_matching

n, m = map(int, input().split())

def inside(x, y):
	if 0 <= x < n and 0 <= y < m:
		return True
	else:
		return False

DI = [1, 0, -1, 0]
DJ = [0, 1, 0, -1]

a = [list(input()) for _ in range(n)]
g = nx.Graph()
g.add_nodes_from(range(n*m))
zero = True
top = set()
for i in range(n):
	for j in range(m):
		if a[i][j] == "#":
			continue
		if (i+j)%2 == 0:
			for k in range(4):
				di, dj = i+DI[k], j+DJ[k]
				if inside(di, dj) and a[di][dj] == ".":
					zero = False
					g.add_edge(i*m+j, di*m+dj)
					top.add(i*m+j)
if zero:
	print(0)
else:
	h = hopcroft_karp_matching(g, top_nodes=top)
	print(len(h)//2)
	for fr, to in h.items():
		i0, j0 = fr//m, fr%m
		i1, j1 = to//m, to%m
		if a[i0][j0] != ".":
			continue
		if i1 == i0+1:
			a[i0][j0] = "v"
			a[i1][j1] = "^"
		elif i1 == i0-1:
			a[i0][j0] = "^"
			a[i1][j1] = "v"
		elif j1 == j0+1:
			a[i0][j0] = ">"
			a[i1][j1] = "<"
		else:
			a[i0][j0] = "<"
			a[i1][j1] = ">"
print(*["".join(x) for x in a], sep="\n")

Buggy python submission (verdict: Runtime Error):
import networkx as nx
from networkx.algorithms.flow import dinitz

n, m = map(int, input().split())

def inside(x, y):
	if 0 <= x < n and 0 <= y < m:
		return True
	else:
		return False

DI = [1, 0, -1, 0]
DJ = [0, 1, 0, -1]

a = [list(input()) for _ in range(n)]
S, T = n*m, n*m+1
g = nx.DiGraph()
for i in range(n):
	for j in range(m):
		if a[i][j] == "#":
			continue
		if (i+j)%2:
			g.add_edge(i*m+j, T, capacity=1)
		else:
			g.add_edge(S, i*m+j, capacity=1)
			for k in range(4):
				di, dj = i+DI[k], j+DJ[k]
				if inside(di, dj) and a[di][dj] == ".":
					g.add_edge(i*m+j, di*m+dj, capacity=1)
r = dinitz(g, S, T)
print(r.graph["flow_value"])
#print(*r.edges)
for i0 in range(n):
	for j0 in range(m):
		if (i0+j0)%2 or a[i0][j0] != ".":
			continue
		for k in range(4):
			i1, j1 = i0+DI[k], j0+DJ[k]
			if not inside(i1, j1) or a[i1][j1] != ".":
				continue
			#print(i0, j0, i1, j1)
			if r[i0*m+j0][i1*m+j1]["flow"] != 1:
				continue
			if i1 == i0+1:
				a[i0][j0] = "v"
				a[i1][j1] = "^"
			elif i1 == i0-1:
				a[i0][j0] = "^"
				a[i1][j1] = "v"
			elif j1 == j0+1:
				a[i0][j0] = ">"
				a[i1][j1] = "<"
			else:
				a[i0][j0] = "<"
				a[i1][j1] = ">"
print(*["".join(x) for x in a], sep="\n")

Fixed submission:
import networkx as nx
from networkx.algorithms.bipartite import hopcroft_karp_matching

n, m = map(int, input().split())

def inside(x, y):
	if 0 <= x < n and 0 <= y < m:
		return True
	else:
		return False

DI = [1, 0, -1, 0]
DJ = [0, 1, 0, -1]

a = [list(input()) for _ in range(n)]
g = nx.Graph()
g.add_nodes_from(range(n*m))
zero = True
top = set()
for i in range(n):
	for j in range(m):
		if a[i][j] == "#":
			continue
		if (i+j)%2 == 0:
			for k in range(4):
				di, dj = i+DI[k], j+DJ[k]
				if inside(di, dj) and a[di][dj] == ".":
					zero = False
					g.add_edge(i*m+j, di*m+dj)
					top.add(i*m+j)
if zero:
	print(0)
else:
	h = hopcroft_karp_matching(g, top_nodes=top)
	print(len(h)//2)
	for fr, to in h.items():
		i0, j0 = fr//m, fr%m
		i1, j1 = to//m, to%m
		if a[i0][j0] != ".":
			continue
		if i1 == i0+1:
			a[i0][j0] = "v"
			a[i1][j1] = "^"
		elif i1 == i0-1:
			a[i0][j0] = "^"
			a[i1][j1] = "v"
		elif j1 == j0+1:
			a[i0][j0] = ">"
			a[i1][j1] = "<"
		else:
			a[i0][j0] = "<"
			a[i1][j1] = ">"
print(*["".join(x) for x in a], sep="\n")

Buggy python submission (verdict: Runtime Error):
import networkx as nx
from networkx.algorithms.flow import dinitz

n, m = map(int, input().split())

def inside(x, y):
	if 0 <= x < n and 0 <= y < m:
		return True
	else:
		return False

DI = [1, 0, -1, 0]
DJ = [0, 1, 0, -1]

a = [list(input()) for _ in range(n)]
S, T = n*m, n*m+1
g = nx.DiGraph()
for i in range(n):
	for j in range(m):
		if a[i][j] == "#":
			continue
		if (i+j)%2:
			g.add_edge(i*m+j, T, capacity=1)
		else:
			g.add_edge(S, i*m+j, capacity=1)
			for k in range(4):
				di, dj = i+DI[k], j+DJ[k]
				if inside(di, dj) and a[di][dj] == ".":
					g.add_edge(i*m+j, di*m+dj, capacity=1)
r = dinitz(g, S, T)
print(r.graph["flow_value"])
#print(*r.edges)
for e in r.edges:
	fr, to = e
	#print(fr, to)
	if fr == S or to == T or r[fr][to]["flow"] < 1:
		continue
	i0, j0 = fr//m, fr%m
	i1, j1 = to//m, to%m
	if i1 == i0+1:
		a[i0][j0] = "v"
		a[i1][j1] = "^"
	elif i1 == i0-1:
		a[i0][j0] = "^"
		a[i1][j1] = "v"
	elif j1 == j0+1:
		a[i0][j0] = ">"
		a[i1][j1] = "<"
	else:
		a[i0][j0] = "<"
		a[i1][j1] = ">"
print(*["".join(x) for x in a], sep="\n")

Fixed submission:
import networkx as nx
from networkx.algorithms.bipartite import hopcroft_karp_matching

n, m = map(int, input().split())

def inside(x, y):
	if 0 <= x < n and 0 <= y < m:
		return True
	else:
		return False

DI = [1, 0, -1, 0]
DJ = [0, 1, 0, -1]

a = [list(input()) for _ in range(n)]
g = nx.Graph()
g.add_nodes_from(range(n*m))
zero = True
top = set()
for i in range(n):
	for j in range(m):
		if a[i][j] == "#":
			continue
		if (i+j)%2 == 0:
			for k in range(4):
				di, dj = i+DI[k], j+DJ[k]
				if inside(di, dj) and a[di][dj] == ".":
					zero = False
					g.add_edge(i*m+j, di*m+dj)
					top.add(i*m+j)
if zero:
	print(0)
else:
	h = hopcroft_karp_matching(g, top_nodes=top)
	print(len(h)//2)
	for fr, to in h.items():
		i0, j0 = fr//m, fr%m
		i1, j1 = to//m, to%m
		if a[i0][j0] != ".":
			continue
		if i1 == i0+1:
			a[i0][j0] = "v"
			a[i1][j1] = "^"
		elif i1 == i0-1:
			a[i0][j0] = "^"
			a[i1][j1] = "v"
		elif j1 == j0+1:
			a[i0][j0] = ">"
			a[i1][j1] = "<"
		else:
			a[i0][j0] = "<"
			a[i1][j1] = ">"
print(*["".join(x) for x in a], sep="\n")