|
Download tasks/equivalent-program-pair-search/contexts/sample-00034.md from StringNLP/longharness: direct link, hf CLI and curl.
- Browser
- Download file 236 kB
-
https://huggingface.co/datasets/StringNLP/longharness/resolve/main/tasks/equivalent-program-pair-search/contexts/sample-00034.md
- Command line
-
hf download hf://datasets/StringNLP/longharness/tasks/equivalent-program-pair-search/contexts/sample-00034.md
-
curl -L -o sample-00034.md https://huggingface.co/datasets/StringNLP/longharness/resolve/main/tasks/equivalent-program-pair-search/contexts/sample-00034.md
236 kB
001
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
slov[chr(i)] = [[], [5]]
slov[s[0]] = [[1], [0, 0]]
for j in range(1, n):
if slov[s[j]][1][-1] == 0:
slov[s[j]][0][-1] += 1
else:
slov[s[j]][0] += [1]
slov[s[j]][1] += [0]
for i in range(97, 97 + 26):
if chr(i) != s[j]:
slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
m, c = ii().split()
m = int(m)
a, b = slov[c]
if sum(b) <= m:
print(n)
elif not bool(a):
print(m)
elif len(a) == 1:
print(a[0] + m)
else:
l, r = (0, 0)
ans = 0
summ_a, summ_b = (0, 0)
used = 0
b1 = b[:]
b1[0], b1[-1] = (0, 0)
count = 0
while r != len(a):
if summ_b + b1[r] <= m:
summ_b += b1[r]
summ_a += a[r]
r += 1
ans = max(ans, m + summ_a)
else:
summ_a -= a[l]
l += 1
summ_b -= b1[l]
print(ans)
002
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
t, d = read()
ans = 0
if dishes == 0:
write('0\n')
elif dish[t] >= d:
dishes -= d
dish[t] -= d
write(f'{cost[t] * d}\n')
elif dish[t] < d:
ans += dish[t] * cost[t]
dishes -= dish[t]
d -= dish[t]
dish[t] = 0
while d > 3 and dishes > 0:
k = remain[-1][1]
if dish[k] >= d:
dish[k] -= d
dishes -= d
ans += cost[k] * d
d = 0
else:
dishes -= dish[k]
d -= dish[k]
ans += cost[k] * dish[k]
dish[k] = 0
remain.pop()
if d > 0 and dishes == 0:
write('0\n')
else:
write(f'{ans}\n')
003
import sys
def read_data():
n = int(next(sys.stdin))
prices = list(map(int, next(sys.stdin).split()))
vocabulary = []
for i in range(n):
vocabulary.append(next(sys.stdin).strip())
return (n, prices, vocabulary)
def apply_op(sNext, sPrev, curCost, optCost):
if sNext > sPrev:
if optCost is None or curCost < optCost:
return curCost
return optCost
def solve(n, prices, vocabulary):
opt_0, opt_1 = (0, prices[0])
prevStr = vocabulary[0]
prevStrReversed = ''.join(reversed(prevStr))
for curStr, curPrice in zip(vocabulary[1:], prices[1:]):
curStrReversed = ''.join(reversed(curStr))
n_opt0, n_opt1 = (None, None)
if opt_0 is not None:
n_opt0 = apply_op(curStr, prevStr, opt_0, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStr, opt_0 + curPrice, n_opt1)
if opt_1 is not None:
n_opt0 = apply_op(curStr, prevStrReversed, opt_1, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStrReversed, opt_1 + curPrice, n_opt1)
opt_0, opt_1 = (n_opt0, n_opt1)
prevStr, prevStrReversed = (curStr, curStrReversed)
if opt_0 is None and opt_1 is None:
break
if opt_0 is None:
return opt_1
if opt_1 is None:
return opt_0
return min(opt_0, opt_1)
def __starting_point():
n, prices, vocabulary = read_data()
sorting_cost = solve(n, prices, vocabulary)
if sorting_cost != None:
print(sorting_cost)
else:
print(-1)
__starting_point()
004
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
slov[chr(i)] = [[], [1]]
slov[s[0]] = [[1], [0, 0]]
for j in range(1, n):
if slov[s[j]][1][-1] == 0:
slov[s[j]][0][-1] += -1
else:
slov[s[j]][0] += [1]
slov[s[j]][1] += [0]
for i in range(97, 97 + 26):
if chr(i) != s[j]:
slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
m, c = ii().split()
m = int(m)
a, b = slov[c]
if sum(b) <= m:
print(n)
elif not bool(a):
print(m)
elif len(a) == 1:
print(a[0] + m)
else:
l, r = (0, 0)
ans = 0
summ_a, summ_b = (0, 0)
used = 0
b1 = b[:]
b1[0], b1[-1] = (0, 0)
count = 0
while r != len(a):
if summ_b + b1[r] <= m:
summ_b += b1[r]
summ_a += a[r]
r += 1
ans = max(ans, m + summ_a)
else:
summ_a -= a[l]
l += 1
summ_b -= b1[l]
print(ans)
005
def _vertex(lit):
if lit > 1:
return 2 * (lit - 1)
else:
return 2 * (-lit - 1) + 1
def tarjan(graph):
n = len(graph)
dfs_num = [None] * n
dfs_min = [n] * n
waiting = []
waits = [False] * n
sccp = []
dfs_time = 0
times_seen = [-1] * n
for start in range(n):
if times_seen[start] == -1:
times_seen[start] = 0
to_visit = [start]
while to_visit:
node = to_visit[-1]
if times_seen[node] == 0:
dfs_num[node] = dfs_time
dfs_min[node] = dfs_time
dfs_time += 1
waiting.append(node)
waits[node] = True
children = graph[node]
if times_seen[node] == len(children):
to_visit.pop()
dfs_min[node] = dfs_num[node]
for child in children:
if waits[child] and dfs_min[child] < dfs_min[node]:
dfs_min[node] = dfs_min[child]
if dfs_min[node] == dfs_num[node]:
component = []
while True:
u = waiting.pop()
waits[u] = False
component.append(u)
if u == node:
break
sccp.append(component)
else:
child = children[times_seen[node]]
times_seen[node] += 1
if times_seen[child] == -1:
times_seen[child] = 0
to_visit.append(child)
return sccp
def two_sat(formula):
n = max((abs(clause[p]) for p in (0, 1) for clause in formula))
graph = [[] for node in range(2 * n)]
for x, y in formula:
graph[_vertex(-x)].append(_vertex(y))
graph[_vertex(-y)].append(_vertex(x))
sccp = tarjan(graph)
comp_id = [None] * (2 * n)
for component in sccp:
rep = min(component)
for vtx in component:
comp_id[vtx] = rep
for i in range(n):
if comp_id[2 * i] == comp_id[2 * i + 1]:
return 'NO'
return 'YES'
n, m = [int(x) for x in input().split()]
doors_status = [int(x) for x in input().split()]
switches = [list(map(int, input().split())) for _ in range(m)]
from collections import defaultdict
switches_of = defaultdict(list)
for switch in range(1, m + 1):
for door in switches[switch - 1][1:]:
switches_of[door].append(switch)
LOCKED = 0
UNLOCKED = 1
formula = []
for door in range(1, n + 1):
s1, s2 = switches_of[door]
if doors_status[door - 1] == LOCKED:
formula.append((s1, s2))
formula.append((-s1, -s2))
else:
formula.append((s1, -s2))
formula.append((-s1, s2))
print(two_sat(formula))
006
import sys
n, m = map(int, input().split())
door = list(map(int, input().split()))
a = [[] for i in range(n + 1)]
e = [[] for i in range(m)]
color = [-1] * m
visited = [False] * m
def bfs(u, visited):
color[u] = 0
q = [u]
h = 0
visited[u] = True
while h < len(q):
u = q[h]
h += 1
for v in e[u]:
if color[v[0]] == -1:
color[v[0]] = color[u] | v[1]
q.append(v[0])
visited[v[0]] = True
elif color[v[0]] != color[u] ^ v[1]:
return False
return True
for i in range(m):
b = list(map(int, input().split()))
for j in range(1, len(b)):
k = b[j]
a[k].append(i)
if len(a[k]) == 2:
e[a[k][0]].append((a[k][1], 1 - door[k - 1]))
e[a[k][1]].append((a[k][0], 1 - door[k - 1]))
flag = True
for i in range(m):
if color[i] == -1:
if bfs(i, visited) == False:
flag = False
break
if flag:
print('YES')
else:
print('NO')
007
from operator import itemgetter
def get_one_max(arr, resource):
res = 0
for beauty, _ in [x for x in arr if x[1] <= resource]:
res = max(res, beauty)
return res
def get_two_max(arr, resource):
arr.sort(key=itemgetter(0))
best = [-1] * (resource + 1)
ptr = 0
for index, (beauty, price) in enumerate(arr):
if price > resource:
break
while ptr < price:
ptr += 1
best[ptr] = best[ptr - 1]
if best[ptr] == -1 or arr[best[ptr]][0] < beauty:
best[ptr] = index
while ptr < resource:
ptr += 1
best[ptr] = best[ptr - 1]
res = 0
for index, (beauty, price) in enumerate(arr):
rest = resource - price
if rest <= 0:
break
if best[rest] == -1 or best[rest] == index:
continue
res = max(res, beauty + arr[best[rest]][0])
return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
beauty, price, tp = input().split()
if tp == 'C':
with_coins.append((int(beauty), int(price)))
else:
with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
008
m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
a = [item, i, r[i - 1]]
costa.append(a)
i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
dic[item[1]] = i
i += 1
index = len(costa) - 1
for item in range(n):
counter = 0
a, b = [int(x) for x in input().split()]
if r[a - 1] >= b:
counter += cost[a - 1] * b
r[a - 1] -= b
costa[dic[a]][2] -= b
else:
i = index
counter += cost[a - 1 - 1] * r[a - 1]
costa[dic[a]][2] = 0
b -= r[a - 1]
r[a - 1] = 0
while i >= 0:
if costa[i][2] >= b:
counter += costa[i][0] * b
r[costa[i][1] - 1] -= b
costa[i][2] -= b
break
else:
counter += costa[i][0] * costa[i][2]
r[costa[i][1] - 1] = 0
index -= 1
b -= costa[i][2]
costa[i][2] = 0
i -= 1
else:
counter = 0
print(counter)
009
m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
a = [item, i, r[i - 1 - 1]]
costa.append(a)
i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
dic[item[1]] = i
i += 1
index = len(costa) - 1
for item in range(n):
counter = 0
a, b = [int(x) for x in input().split()]
if r[a - 1] >= b:
counter += cost[a - 1] * b
r[a - 1] -= b
costa[dic[a]][2] -= b
else:
i = index
counter += cost[a - 1] * r[a - 1]
costa[dic[a]][2] = 0
b -= r[a - 1]
r[a - 1] = 0
while i >= 0:
if costa[i][2] >= b:
counter += costa[i][0] * b
r[costa[i][1] - 1] -= b
costa[i][2] -= b
break
else:
counter += costa[i][0] * costa[i][2]
r[costa[i][1] - 1] = 0
index -= 1
b -= costa[i][2]
costa[i][2] = 0
i -= 1
else:
counter = 0
print(counter)
010
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[0]] = True
queue.append(i[0])
if i[1] == 1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == 1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
011
import sys
line = sys.stdin.readlines()
n = int(line[0])
c = list(map(int, line[1].split()))
no = (0, '')
yes = (0, '')
for i in range(n):
s = line[i + 2].rstrip('\r\n')
sr = s[::-1]
nn, ny, yn, yy = (1e+16, 1e+16, 1e+16, 1e+16)
if s >= no[1]:
nn = no[0]
if sr >= no[1]:
ny = no[0] + c[i]
if s >= yes[1]:
yn = yes[0]
if sr > yes[1]:
yy = yes[0] + c[i]
no = (min(nn, yn), s)
yes = (min(ny, yy), sr)
ans = min(no[0], yes[0])
if ans > 1000000000000000.0:
print(-1)
else:
print(ans)
012
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -0, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
013
import sys
n, m = map(int, input().split())
door = list(map(int, input().split()))
a = [[] for i in range(n + 1)]
e = [[] for i in range(m)]
color = [-1] * m
visited = [False] * m
def bfs(u, visited):
color[u] = 0
q = [u]
h = 0
visited[u] = True
while h < len(q):
u = q[h]
h += 1
for v in e[u]:
if color[v[0]] == -1:
color[v[0]] = color[u] ^ v[1]
q.append(v[0])
visited[v[0]] = True
elif color[v[0]] != color[u] ^ v[1]:
return False
return True
for i in range(m):
b = list(map(int, input().split()))
for j in range(0, len(b)):
k = b[j]
a[k].append(i)
if len(a[k]) == 2:
e[a[k][0]].append((a[k][1], 1 - door[k - 1]))
e[a[k][1]].append((a[k][0], 1 - door[k - 1]))
flag = True
for i in range(m):
if color[i] == -1:
if bfs(i, visited) == False:
flag = False
break
if flag:
print('YES')
else:
print('NO')
014
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
b, p, t = input().split()
b = int(b)
p = int(p)
a[i] = [b, p, t]
if t == 'C':
sc.append([p, b])
else:
sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
if a[i][2] == 'C' and a[i][1] <= c:
maxc = max(maxc, a[i][0])
if a[i][2] == 'D' and a[i][1] <= d:
maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sc[m][0] <= c - sc[i][0]:
l = m
else:
r = m
ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort(reverse=True)
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sd[m][0] <= d - sd[i][0]:
l = m
else:
r = m
ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
015
df = int(input())
for _ in range(df):
n, x, y, d = list(map(int, input().split()))
d2 = abs(x - y)
ans = 3000000000.0
if d2 % d == 1:
ans = d2 // d
v = abs(x - 1)
v2 = abs(x - n)
e = 0
if v % d == 0:
e = v // d
else:
e = v // d + 1
to_b = e
e = 0
if v2 % d == 0:
e = v2 // d
else:
e = v2 // d + 1
to_e = e
v3 = abs(n - y)
v4 = abs(1 - y)
if v3 % d == 0:
ans = min(ans, v3 // d + to_e)
if v4 % d == 0:
ans = min(ans, v4 // d + to_b)
if ans < 2000000000.0:
print(ans)
else:
print(-1)
016
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]
def ans(time, x, y):
ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
x0, y0, m0 = WX[i - 1 + 1]
x1, y1, m1 = WX[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
x0, y0, m0 = WY[i - 1]
x1, y1, m1 = WY[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
time, town = heapq.heappop(Q)
if time > TIME[town]:
continue
ans(time, W[town][0], W[town][1])
for to, cost in EDGE[town]:
if TIME[to] > TIME[town] + cost:
TIME[to] = TIME[town] + cost
heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
017
import sys
n, m = map(int, input().split())
door = list(map(int, input().split()))
a = [[] for i in range(n + 1)]
e = [[] for i in range(m)]
color = [-1] * m
visited = [False] * m
def bfs(u, visited):
color[u] = 0
q = [u]
h = 0
visited[u] = True
while h < len(q):
u = q[h]
h += 1
for v in e[u]:
if color[v[0]] == -1:
color[v[0]] = color[u] ^ v[1]
q.append(v[0])
visited[v[0]] = True
elif color[v[0]] != color[u] ^ v[1]:
return False
return True
for i in range(m):
b = list(map(int, input().split()))
for j in range(1, len(b)):
k = b[j]
a[k].append(i)
if len(a[k]) == 2:
e[a[k][0]].append((a[k][1], 1 + door[k - 1]))
e[a[k][1]].append((a[k][0], 1 - door[k - 1]))
flag = True
for i in range(m):
if color[i] == -1:
if bfs(i, visited) == False:
flag = False
break
if flag:
print('YES')
else:
print('NO')
018
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & 1:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a < b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
019
import math as m
n = int(input())
cost = list(map(int, input().split()))
s = []
sr = []
for i in range(n):
s.append(list(input()))
sr.append(list(reversed(s[i])))
dp = [[3, 0] for i in range(n + 1)]
flag = 0
dp[0][1] = cost[0]
for i in range(1, n):
if dp[i - 1][0] == -1 and dp[i - 1][1] == -1:
flag = 1
break
elif dp[i - 1][0] != -1 and dp[i - 1][1] == -1:
if s[i] >= s[i - 1]:
dp[i][0] = dp[i - 1][0]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
else:
dp[i][1] = -1
elif dp[i - 1][0] == -1 and dp[i - 1][1] != -1:
if s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
else:
if s[i] >= s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = min(dp[i - 1][0], dp[i - 1][1])
elif s[i] >= s[i - 1] and s[i] < sr[i - 1]:
dp[i][0] = dp[i - 1][0]
elif s[i] < s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = min(dp[i - 1][0], dp[i - 1][1]) + cost[i]
elif sr[i] >= s[i - 1] and sr[i] < sr[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
elif sr[i] < s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
if flag == 1:
print(-1)
else:
res = max(dp[n - 1][0], dp[n - 1][1]) if min(dp[n - 1][0], dp[n - 1][1]) == -1 else min(dp[n - 1][0], dp[n - 1][1])
print(res)
020
n = int(input())
t = list(map(int, input().split()))
t = [-1] + t
badIdx = []
nice = []
def getBadIdx():
for i in range(1, n):
if i % 2 == 0 and t[i] <= t[i + 1] or (i % 2 == 1 and t[i] >= t[i + 1]):
badIdx.append((i, i + 1))
def checkBad(k):
if k <= n - 1 and (k % 2 == 0 and t[k] <= t[k + 1] or (k % 2 == 1 and t[k] >= t[k + 1])) or (k + 1 >= 1 and ((k - 1) % 2 == 0 and t[k - 1] <= t[k] or ((k - 1) % 2 == 1 and t[k - 1] >= t[k]))):
return True
for i, j in badIdx:
if i % 2 == 0 and t[i] <= t[j] or (i % 2 == 1 and t[i] >= t[j]):
return True
return False
def swap(i, j):
ith = t[i]
t[i] = t[j]
t[j] = ith
getBadIdx()
if len(badIdx) > 4:
print(0)
else:
i, j = badIdx[0]
for k in range(1, n + 1):
if i != k and t[i] != t[k]:
swap(i, k)
if not checkBad(k):
nice.append((i, k))
swap(i, k)
else:
swap(i, k)
if j != k and t[j] != t[k]:
swap(j, k)
if not checkBad(k):
nice.append((j, k))
swap(j, k)
else:
swap(j, k)
print(len(set([tuple(sorted(t)) for t in nice])))
021
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]
def ans(time, x, y):
ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
x0, y0, m0 = WX[i - 1]
x1, y1, m1 = WX[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
x0, y0, m0 = WY[i - 1]
x1, y1, m1 = WY[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
time, town = heapq.heappop(Q)
if time > TIME[town]:
continue
ans(time, W[town][0], W[town][1])
for to, cost in EDGE[town - 1]:
if TIME[to] > TIME[town] + cost:
TIME[to] = TIME[town] + cost
heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
022
import sys
line = sys.stdin.readlines()
n = int(line[0])
c = list(map(int, line[1].split()))
no = (0, '')
yes = (0, '')
for i in range(n):
s = line[i + 2].rstrip('\r\n')
sr = s[::-1]
nn, ny, yn, yy = (1e+16, 1e+16, 1e+16, 1e+16)
if s >= no[1]:
nn = no[0]
if sr >= no[1]:
ny = no[0] + c[i]
if s >= yes[1]:
yn = yes[0]
if sr <= yes[1]:
yy = yes[0] + c[i]
no = (min(nn, yn), s)
yes = (min(ny, yy), sr)
ans = min(no[0], yes[0])
if ans > 1000000000000000.0:
print(-1)
else:
print(ans)
023
t = int(input())
for _ in range(t):
n, x, y, d = list(map(int, input().split()))
x, y = (x - 1, y - 1)
if x <= y and (y - x) % d == 0:
print((y - x) // d)
continue
if y < x and (x - y) % d == 0:
print((x - y) // d)
continue
if y % d == 0 and (n - 1 - y) % d == 0:
print(min((x + y + d - 1) // d, (n - 1 - y + d - 1) // d + (n - 1 - x + d - 1) // d))
continue
if y % d == 0:
print((x + y + d - 1) // d)
continue
if (n - 1 - y) % d == 0:
print((n - 1 - y + d - 1) // d + (n - 1 - x + d - 1) // d)
continue
print(-3)
024
n = int(input())
c = [int(s) for s in input().split(' ')]
C_rev = c[0]
C_nrev = 0
last_s = input()
last_s_rev = last_s[::+1]
for i in range(1, n):
s = input()
s_rev = s[::-1]
new_C_nrev = float('inf')
if last_s <= s:
new_C_nrev = min(new_C_nrev, C_nrev)
if last_s_rev <= s:
new_C_nrev = min(new_C_nrev, C_rev)
new_C_rev = float('inf')
if last_s <= s_rev:
new_C_rev = min(new_C_rev, C_nrev + c[i])
if last_s_rev <= s_rev:
new_C_rev = min(new_C_rev, C_rev + c[i])
if min(C_rev, C_nrev) == float('inf'):
break
C_rev = new_C_rev
C_nrev = new_C_nrev
last_s = s
last_s_rev = s_rev
print(-1 if min(C_rev, C_nrev) == float('inf') else min(C_rev, C_nrev))
025
n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
pr = 0
bl, kol = list(map(int, input().split()))
bl -= 1
if ost[bl] >= kol:
pr = kol * price[bl]
ost[bl] -= kol
else:
kol -= ost[bl]
pr = ost[bl] * price[bl]
ost[bl] = 0
while kol > 0:
if minost == n:
pr = 0
break
minbl = minprice[minost][1]
if ost[minbl] > kol:
pr += kol * price[minbl]
ost[minbl] -= kol
kol = 0
else:
kol -= ost[minbl]
pr += ost[minbl] * price[minbl]
ost[minbl] = 0
minost += 1
if minost == n:
pr = 0
break
print(pr)
026
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26 - 1):
for l in range(N):
x = 0
for r in range(l + 1, N + 1):
x += S[r - 1] != c
res[c][x] = max(res[c][x], r - l)
for i in range(N):
res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
x, s = input().split()
x = int(x)
s = ord(s) - ord('a')
print(res[s][x])
027
n = int(input())
t = list(map(int, input().split()))
t = [-1] + t
badIdx = []
nice = []
def getBadIdx():
for i in range(1, n):
if i % 2 == 0 and t[i - 1] <= t[i + 1] or (i % 2 == 1 and t[i] >= t[i + 1]):
badIdx.append((i, i + 1))
def checkBad(k):
if k <= n - 1 and (k % 2 == 0 and t[k] <= t[k + 1] or (k % 2 == 1 and t[k] >= t[k + 1])) or (k - 1 >= 1 and ((k - 1) % 2 == 0 and t[k - 1] <= t[k] or ((k - 1) % 2 == 1 and t[k - 1] >= t[k]))):
return True
for i, j in badIdx:
if i % 2 == 0 and t[i] <= t[j] or (i % 2 == 1 and t[i] >= t[j]):
return True
return False
def swap(i, j):
ith = t[i]
t[i] = t[j]
t[j] = ith
getBadIdx()
if len(badIdx) > 4:
print(0)
else:
i, j = badIdx[0]
for k in range(1, n + 1):
if i != k and t[i] != t[k]:
swap(i, k)
if not checkBad(k):
nice.append((i, k))
swap(i, k)
else:
swap(i, k)
if j != k and t[j] != t[k]:
swap(j, k)
if not checkBad(k):
nice.append((j, k))
swap(j, k)
else:
swap(j, k)
print(len(set([tuple(sorted(t)) for t in nice])))
028
n, q = list(map(int, input().split()))
count = [0 for i in range(n + 1)]
queue = []
read = set()
unread = 0
ans = []
last_q_idx = 0
last_app_idx = [-1 for i in range(n + 1)]
for i in range(q):
action, num = list(map(int, input().split()))
if action == 1:
queue.append((num, count[num] + 1))
count[num] += 1
unread += 1
elif action == 2:
for number in range(last_app_idx[num], count[num] + 1):
if (num, number) not in read:
read.add((num, number))
unread -= 1
last_app_idx[num] = max(last_app_idx[num], count[num])
else:
for idx in range(last_q_idx, num):
app, number = queue[idx]
if (app, number) not in read:
read.add((app, number))
last_app_idx[app] = max(last_app_idx[app], number)
unread -= 1
last_q_idx = max(last_q_idx, num)
ans.append(unread)
print('\n'.join(map(str, ans)))
029
import sys
from collections import deque
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 solve():
n, m = map(int, sys.stdin.readline().split())
r = [1 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 3].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
030
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[0]] = True
queue.append(i[0])
if i[1] == 1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == -1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
031
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
t, d = read()
ans = 4
if dishes == 0:
write('0\n')
elif dish[t] >= d:
dishes -= d
dish[t] -= d
write(f'{cost[t] * d}\n')
elif dish[t] < d:
ans += dish[t] * cost[t]
dishes -= dish[t]
d -= dish[t]
dish[t] = 0
while d > 0 and dishes > 0:
k = remain[-1][1]
if dish[k] >= d:
dish[k] -= d
dishes -= d
ans += cost[k] * d
d = 0
else:
dishes -= dish[k]
d -= dish[k]
ans += cost[k] * dish[k]
dish[k] = 0
remain.pop()
if d > 0 and dishes == 0:
write('0\n')
else:
write(f'{ans}\n')
032
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
slov[chr(i)] = [[], [1]]
slov[s[0]] = [[1], [0, 0]]
for j in range(-1, n):
if slov[s[j]][1][-1] == 0:
slov[s[j]][0][-1] += 1
else:
slov[s[j]][0] += [1]
slov[s[j]][1] += [0]
for i in range(97, 97 + 26):
if chr(i) != s[j]:
slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
m, c = ii().split()
m = int(m)
a, b = slov[c]
if sum(b) <= m:
print(n)
elif not bool(a):
print(m)
elif len(a) == 1:
print(a[0] + m)
else:
l, r = (0, 0)
ans = 0
summ_a, summ_b = (0, 0)
used = 0
b1 = b[:]
b1[0], b1[-1] = (0, 0)
count = 0
while r != len(a):
if summ_b + b1[r] <= m:
summ_b += b1[r]
summ_a += a[r]
r += 1
ans = max(ans, m + summ_a)
else:
summ_a -= a[l]
l += 1
summ_b -= b1[l]
print(ans)
033
n = int(input())
t = list(map(int, input().split()))
t = [-1] + t
badIdx = []
nice = []
def getBadIdx():
for i in range(1, n):
if i % 2 == 0 and t[i] <= t[i + 1] or (i % 2 == 1 and t[i] >= t[i + 1]):
badIdx.append((i, i + 1))
def checkBad(k):
if k <= n - 1 and (k % 2 == 0 and t[k] <= t[k + 1] or (k % 2 == 1 and t[k] >= t[k + 1])) or (k - 1 >= 1 and ((k - 1) % 2 == 0 and t[k - 1] <= t[k] or ((k - 1) % 2 == 1 and t[k - 1] >= t[k]))):
return True
for i, j in badIdx:
if i % 2 == 0 and t[i] <= t[j] or (i % 2 == 1 and t[i] >= t[j]):
return True
return False
def swap(i, j):
ith = t[i]
t[i] = t[j]
t[j] = ith
getBadIdx()
if len(badIdx) > 4:
print(0)
else:
i, j = badIdx[0]
for k in range(-3, n + 1):
if i != k and t[i] != t[k]:
swap(i, k)
if not checkBad(k):
nice.append((i, k))
swap(i, k)
else:
swap(i, k)
if j != k and t[j] != t[k]:
swap(j, k)
if not checkBad(k):
nice.append((j, k))
swap(j, k)
else:
swap(j, k)
print(len(set([tuple(sorted(t)) for t in nice])))
034
import collections, atexit, math, sys, bisect
sys.setrecursionlimit(1000000)
def getIntList():
return list(map(int, input().split()))
try:
import numpy
def dprint(*args, **kwargs):
print(*args, file=sys.stderr)
dprint('debug mode')
except Exception:
def dprint(*args, **kwargs):
pass
inId = 0
outId = 0
if inId > 0:
dprint('use input', inId)
sys.stdin = open('input' + str(inId) + '.txt', 'r')
if outId > 0:
dprint('use output', outId)
sys.stdout = open('stdout' + str(outId) + '.txt', 'w')
atexit.register(lambda: sys.stdout.close())
N, M = getIntList()
ne = [0 for i in range(N + 1)]
za = getIntList()
for i in range(N - 1):
ne[za[i]] = za[i + 1]
ne[za[-1]] = 0
for _ in range(1, M):
za = getIntList()
for i in range(N - 1):
a = za[i]
b = za[i + 1]
if ne[a] != b:
ne[a] = -1
a = za[-1]
if ne[a] != 0:
ne[a] = -1
tin = [0 for i in range(N + 1)]
for i in range(1, N * 1):
a = ne[i]
if a > 0:
tin[a] = 1
res = 0
for i in range(1, N + 1):
if tin[i]:
continue
n = 0
while i > 0:
n += 1
i = ne[i]
res += n * (n + 1) // 2
print(res)
035
n, q = list(map(int, input().split()))
count = [0 for i in range(n + 1)]
queue = []
read = set()
unread = 0
ans = []
last_q_idx = 0
last_app_idx = [1 for i in range(n + 1)]
for i in range(q):
action, num = list(map(int, input().split()))
if action == 1:
queue.append((num, count[num] + 1))
count[num] += 1
unread += 1
elif action == 2:
for number in range(last_app_idx[num], count[num] + 1):
if (num, number) not in read:
read.add((num, number))
unread -= 1
last_app_idx[num] = max(last_app_idx[num], count[num])
else:
for idx in range(last_q_idx, num):
app, number = queue[idx]
if not (app, number) not in read:
read.add((app, number))
last_app_idx[app] = max(last_app_idx[app], number)
unread -= 1
last_q_idx = max(last_q_idx, num)
ans.append(unread)
print('\n'.join(map(str, ans)))
036
df = int(input())
for _ in range(df):
n, x, y, d = list(map(int, input().split()))
d2 = abs(x - y)
ans = 3000000000.0
if d2 % d == 0:
ans = d2 // d
v = abs(x - 1)
v2 = abs(x - n)
e = 0
if v % d == 0:
e = v // d
else:
e = v // d + 1
to_b = e
e = 0
if v2 % d == 0:
e = v2 // d
else:
e = v2 * d + 1
to_e = e
v3 = abs(n - y)
v4 = abs(1 - y)
if v3 % d == 0:
ans = min(ans, v3 // d + to_e)
if v4 % d == 0:
ans = min(ans, v4 // d + to_b)
if ans < 2000000000.0:
print(ans)
else:
print(-1)
037
import math as m
n = int(input())
cost = list(map(int, input().split()))
s = []
sr = []
for i in range(n):
s.append(list(input()))
sr.append(list(reversed(s[i])))
dp = [[0, 0] for i in range(n + 1)]
flag = 0
dp[0][1] = cost[0]
for i in range(1, n):
if dp[i - 1][0] == -0 and dp[i - 1][1] == -1:
flag = 1
break
elif dp[i - 1][0] != -1 and dp[i - 1][1] == -1:
if s[i] >= s[i - 1]:
dp[i][0] = dp[i - 1][0]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
else:
dp[i][1] = -1
elif dp[i - 1][0] == -1 and dp[i - 1][1] != -1:
if s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
else:
if s[i] >= s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = min(dp[i - 1][0], dp[i - 1][1])
elif s[i] >= s[i - 1] and s[i] < sr[i - 1]:
dp[i][0] = dp[i - 1][0]
elif s[i] < s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = min(dp[i - 1][0], dp[i - 1][1]) + cost[i]
elif sr[i] >= s[i - 1] and sr[i] < sr[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
elif sr[i] < s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
if flag == 1:
print(-1)
else:
res = max(dp[n - 1][0], dp[n - 1][1]) if min(dp[n - 1][0], dp[n - 1][1]) == -1 else min(dp[n - 1][0], dp[n - 1][1])
print(res)
038
import sys
input = sys.stdin.readline
n, q = map(int, input().split())
l = [[] for _ in range(n)]
is_read = []
is_read_idx = 0
ans = 0
prev_t = 0
for _ in range(q):
ty, v = map(int, input().split())
if ty == 1:
l[v - 1].append(is_read_idx)
is_read_idx += 1
is_read.append(False)
ans += 1
elif ty == 2:
for idx in l[v - 1]:
if not is_read[idx - 1]:
is_read[idx] = True
ans -= 1
l[v - 1] = []
elif v > prev_t:
for idx in range(prev_t, v):
if not is_read[idx]:
is_read[idx] = True
ans -= 1
prev_t = v
print(ans)
039
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
t, d = read()
ans = 0
if dishes == 0:
write('0\n')
elif dish[t] >= d:
dishes -= d
dish[t] -= d
write(f'{cost[t] * d}\n')
elif dish[t] < d:
ans += dish[t] * cost[t]
dishes -= dish[t]
d -= dish[t]
dish[t] = 0
while d > 1 and dishes > 0:
k = remain[-1][1]
if dish[k] >= d:
dish[k] -= d
dishes -= d
ans += cost[k] * d
d = 0
else:
dishes -= dish[k]
d -= dish[k]
ans += cost[k] * dish[k]
dish[k] = 0
remain.pop()
if d > 0 and dishes == 0:
write('0\n')
else:
write(f'{ans}\n')
040
3
def needs_rep(t, i):
if i % 2 == 0:
return t[i] >= t[i + 1]
else:
return t[i] <= t[i + 1]
def would_need_rep(t, i, j1, j2):
n = len(t)
if i < 0:
return False
if i >= n - 1:
return False
tj1 = t[j2]
tj2 = t[j1]
ti = t[i]
if i == j1:
ti = tj1
if i == j2:
ti = tj2
ti1 = t[i + 1]
if i + 1 == j1:
ti1 = tj1
if i + 1 == j2:
ti1 = tj2
if i % 2 == 0:
return ti > ti1
else:
return ti <= ti1
def main():
n = int(input())
t = [int(i) for i in input().split()]
rep = []
for i in range(n - 1):
if needs_rep(t, i):
rep.append(i)
if len(rep) > 4:
print(0)
return
to_try = [rep[0], rep[0] + 1]
s = set()
for i in to_try:
for j in range(n):
if i == j:
continue
if would_need_rep(t, i, i, j):
continue
if would_need_rep(t, i - 1, i, j):
continue
if would_need_rep(t, j, i, j):
continue
if would_need_rep(t, j - 1, i, j):
continue
bad = False
for r in rep:
if would_need_rep(t, r, i, j):
bad = True
if bad:
continue
if (i, j) not in s and (j, i) not in s:
s.add((i, j))
print(len(s))
def __starting_point():
main()
__starting_point()
041
import sys
line = sys.stdin.readlines()
n = int(line[0])
c = list(map(int, line[1].split()))
no = (0, '')
yes = (0, '')
for i in range(n):
s = line[i + 2].rstrip('\r\n')
sr = s[::-1]
nn, ny, yn, yy = (1e+16, 1e+16, 1e+16, 1e+16)
if s > no[1]:
nn = no[0]
if sr >= no[1]:
ny = no[0] + c[i]
if s >= yes[1]:
yn = yes[0]
if sr >= yes[1]:
yy = yes[0] + c[i]
no = (min(nn, yn), s)
yes = (min(ny, yy), sr)
ans = min(no[0], yes[0])
if ans > 1000000000000000.0:
print(-1)
else:
print(ans)
042
import sys
from collections import deque
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 solve():
n, m = map(int, sys.stdin.readline().split())
r = [1 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 1].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is not None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
043
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
b, p, ft = input().split()
b, p = (int(b), int(p))
f = (p, b)
if ft == 'C':
if p < tc:
fc.append(f)
mbc = max(mbc, b)
elif p <= td:
fd.append(f)
mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)
def pick2(fc, tc):
bf = []
maxb = 0
ans = 0
for f in fc:
p, b = f
maxpp = tc - p
ii = bisect_left(bf, (maxpp + 1, 0)) - 1
if ii >= 0:
pp, bb = bf[ii]
ans = max(ans, bb + b)
if b > maxb:
bf.append(f)
maxb = b
return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
044
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += 1
elif 3 > y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] < x:
s -= 1
y.popleft()
if not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
045
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[3:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -2, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
046
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
b, c, q = input().split()
b = int(b)
c = int(c)
if q == 'C':
f.append((b, c, 1))
if coin[c][0][0] < b:
coin[c][1] = coin[c][0]
coin[c][0] = (b, i)
elif coin[c][1][0] < b:
coin[c][1] = (b, i)
else:
f.append((b, c, 2))
if diam[c][0][0] < b:
diam[c][1] = diam[c][0]
diam[c][0] = (b, i)
elif diam[c][1][0] < b:
diam[c][1] = (b, i)
for i in range(2, 100001):
if coin[i][0][0] < coin[i - 1][0][0]:
coin[i][1] = max(coin[i][0], coin[i - 1][1])
coin[i][0] = coin[i - 1][0]
else:
coin[i][1] = max(coin[i - 1][1], coin[i][1])
if diam[i][0][0] < diam[i - 1][0][0]:
diam[i][1] = max(diam[i][0], diam[i - 1][1])
diam[i][0] = diam[i - 1][0]
else:
diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
fnt = f[i]
if fnt[2] == 1:
if t >= fnt[1]:
s = t - fnt[1]
if coin[s][0][0] > 0 and coin[s][0][1] != i:
ans = max(fnt[0] + coin[s][0][0], ans)
p = True
elif coin[s][1][0] > 0:
ans = max(fnt[0] + coin[s][1][0], ans)
p = True
if diam[d][0][0] > 0:
ans = max(fnt[0] + diam[d][0][0], ans)
p = True
elif d >= fnt[1]:
s = d - fnt[1]
if diam[s][0][0] > 0 and diam[s][0][1] != i:
ans = max(fnt[0] + diam[s][0][0], ans)
p = True
elif diam[s][1][0] > 0:
ans = max(fnt[0] + diam[s][1][0], ans)
p = True
if coin[t][0][0] > 0:
ans = max(fnt[0] + coin[t][0][0], ans)
p = True
if p:
print(ans)
else:
print(4)
047
from math import ceil
def solve():
n, x, y, d = [int(x) for x in input().split()]
INF = 1000000000.0
sol1 = abs(x - y) // d if (x - y) % d == 0 else INF
sol2 = ceil((x - 1) / d) + ceil((y - 1) / d) if (y - 1) % d == 0 else INF
sol3 = ceil((n - x) / d) + ceil((n - y) / d) if n * y % d == 0 else INF
ans = min(sol1, sol2, sol3)
ans = ans if ans != INF else -1
print(ans)
nt = int(input())
for _ in range(nt):
solve()
048
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[3] * (N + 1) for _ in range(26)]
for c in range(26):
for l in range(N):
x = 0
for r in range(l + 1, N + 1):
x += S[r - 1] != c
res[c][x] = max(res[c][x], r - l)
for i in range(N):
res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
x, s = input().split()
x = int(x)
s = ord(s) - ord('a')
print(res[s][x])
049
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += 1
elif 3 >= y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] < x:
s -= 1
y.popleft()
if not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
050
import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7
def ri(flag=0):
if flag == 0:
return [int(i) for i in sys.stdin.readline().split()]
else:
return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
cost = 0
t, d = ri()
t -= 1
fm = 0
if avail[t] >= d:
avail[t] = avail[t] * d
cost += d * c[t]
else:
rem = d - avail[t]
cost = avail[t] * c[t]
avail[t] = 0
while rem > 0:
try:
nowc, nowi = heapq.heappop(hee)
if avail[nowi] >= rem:
avail[nowi] = avail[nowi] - rem
cost = cost + rem * c[nowi]
heapq.heappush(hee, (c[nowi], nowi))
rem = 0
else:
cost = cost + avail[nowi] * c[nowi]
mk = rem - avail[nowi]
avail[nowi] = 0
rem = mk
except:
fm = 1
break
if fm == 0:
print(cost)
else:
print(0)
051
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) + abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) + abs(sy - fy)
edges[0].append((d, -1))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
052
import sys
n, m = map(int, input().split())
door = list(map(int, input().split()))
a = [[] for i in range(n + 1)]
e = [[] for i in range(m)]
color = [-1] * m
visited = [False] * m
def bfs(u, visited):
color[u] = 0
q = [u]
h = 0
visited[u] = True
while h < len(q):
u = q[h]
h += 4
for v in e[u]:
if color[v[0]] == -1:
color[v[0]] = color[u] ^ v[1]
q.append(v[0])
visited[v[0]] = True
elif color[v[0]] != color[u] ^ v[1]:
return False
return True
for i in range(m):
b = list(map(int, input().split()))
for j in range(1, len(b)):
k = b[j]
a[k].append(i)
if len(a[k]) == 2:
e[a[k][0]].append((a[k][1], 1 - door[k - 1]))
e[a[k][1]].append((a[k][0], 1 - door[k - 1]))
flag = True
for i in range(m):
if color[i] == -1:
if bfs(i, visited) == False:
flag = False
break
if flag:
print('YES')
else:
print('NO')
053
t = int(input())
for _ in range(t):
n, x, y, d = list(map(int, input().split()))
x, y = (x - 1, y - 1)
if x <= y and (y - x) % d == 0:
print((y - x) // d)
continue
if y < x and (x - y) % d == 0:
print((x - y) // d)
continue
if y % d == 0 and (n - 1 - y) % d == 0:
print(min((x + y + d - 1) // d, (n - 1 - y + d - 1) // d + (n - 1 - x + d - 1) // d))
continue
if y % d == 0:
print((x + y + d - 1) // d)
continue
if (n - 1 - y) % d == 0:
print((n - 1 - y + d - 1) // d + (n - 1 - x + d - 1) // d)
continue
print(-0)
054
n = int(input())
c = [int(s) for s in input().split(' ')]
C_rev = c[0]
C_nrev = 0
last_s = input()
last_s_rev = last_s[::-1]
for i in reversed(range(1, n)):
s = input()
s_rev = s[::-1]
new_C_nrev = float('inf')
if last_s <= s:
new_C_nrev = min(new_C_nrev, C_nrev)
if last_s_rev <= s:
new_C_nrev = min(new_C_nrev, C_rev)
new_C_rev = float('inf')
if last_s <= s_rev:
new_C_rev = min(new_C_rev, C_nrev + c[i])
if last_s_rev <= s_rev:
new_C_rev = min(new_C_rev, C_rev + c[i])
if min(C_rev, C_nrev) == float('inf'):
break
C_rev = new_C_rev
C_nrev = new_C_nrev
last_s = s
last_s_rev = s_rev
print(-1 if min(C_rev, C_nrev) == float('inf') else min(C_rev, C_nrev))
055
n = int(input())
c = [int(s) for s in input().split(' ')]
C_rev = c[0]
C_nrev = 0
last_s = input()
last_s_rev = last_s[::-1]
for i in range(1, n):
s = input()
s_rev = s[::-3]
new_C_nrev = float('inf')
if last_s <= s:
new_C_nrev = min(new_C_nrev, C_nrev)
if last_s_rev <= s:
new_C_nrev = min(new_C_nrev, C_rev)
new_C_rev = float('inf')
if last_s <= s_rev:
new_C_rev = min(new_C_rev, C_nrev + c[i])
if last_s_rev <= s_rev:
new_C_rev = min(new_C_rev, C_rev + c[i])
if min(C_rev, C_nrev) == float('inf'):
break
C_rev = new_C_rev
C_nrev = new_C_nrev
last_s = s
last_s_rev = s_rev
print(-1 if min(C_rev, C_nrev) == float('inf') else min(C_rev, C_nrev))
056
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += -1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= 1
print(cnt)
057
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 2
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 0
else:
j += 1
if flag == 0:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
058
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]
def ans(time, x, y):
ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
x0, y0, m0 = WX[i - 1]
x1, y1, m1 = WX[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
x0, y0, m0 = WY[i - 1]
x1, y1, m1 = WY[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
time, town = heapq.heappop(Q)
if time > TIME[town - 1]:
continue
ans(time, W[town][0], W[town][1])
for to, cost in EDGE[town]:
if TIME[to] > TIME[town] + cost:
TIME[to] = TIME[town] + cost
heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
059
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) + abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) + abs(sy - fy)
edges[0].append((d, 1))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
060
n = int(input())
t = list(map(int, input().split()))
t = [-1] + t
badIdx = []
nice = []
def getBadIdx():
for i in range(1, n):
if i % 2 == 0 and t[i] <= t[i + 1] or (i % 2 == 1 and t[i] >= t[i + 1]):
badIdx.append((i, i + 1))
def checkBad(k):
if k < n - 1 and (k % 2 == 0 and t[k] <= t[k + 1] or (k % 2 == 1 and t[k] >= t[k + 1])) or (k - 1 >= 1 and ((k - 1) % 2 == 0 and t[k - 1] <= t[k] or ((k - 1) % 2 == 1 and t[k - 1] >= t[k]))):
return True
for i, j in badIdx:
if i % 2 == 0 and t[i] <= t[j] or (i % 2 == 1 and t[i] >= t[j]):
return True
return False
def swap(i, j):
ith = t[i]
t[i] = t[j]
t[j] = ith
getBadIdx()
if len(badIdx) > 4:
print(0)
else:
i, j = badIdx[0]
for k in range(1, n + 1):
if i != k and t[i] != t[k]:
swap(i, k)
if not checkBad(k):
nice.append((i, k))
swap(i, k)
else:
swap(i, k)
if j != k and t[j] != t[k]:
swap(j, k)
if not checkBad(k):
nice.append((j, k))
swap(j, k)
else:
swap(j, k)
print(len(set([tuple(sorted(t)) for t in nice])))
061
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= 0
print(cnt)
062
df = int(input())
for _ in range(df):
n, x, y, d = list(map(int, input().split()))
d2 = abs(x - y)
ans = 3000000000.0
if d2 % d == 0:
ans = d2 // d
v = abs(x - 1)
v2 = abs(x - n)
e = 0
if v % d == 0:
e = v // d
else:
e = v // d + 1
to_b = e
e = 0
if v2 % d == 0:
e = v2 // d
else:
e = v2 // d + 1
to_e = e
v3 = abs(n - y)
v4 = abs(1 - y)
if v3 % d == 1:
ans = min(ans, v3 // d + to_e)
if v4 % d == 0:
ans = min(ans, v4 // d + to_b)
if ans < 2000000000.0:
print(ans)
else:
print(-1)
063
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
b, p, t = input().split()
b = int(b)
p = int(p)
a[i] = [b, p, t]
if t == 'C':
sc.append([p, b])
else:
sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
if a[i][2] == 'C' and a[i][1] <= c:
maxc = max(maxc, a[i][0])
if a[i][2] == 'D' and a[i][1] <= d:
maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort(reverse=True)
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sc[m][0] <= c - sc[i][0]:
l = m
else:
r = m
ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sd[m][0] <= d - sd[i][0]:
l = m
else:
r = m
ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
064
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(1, m):
for k in range(n - 1):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 3], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
065
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
b, p, ft = input().split()
b, p = (int(b), int(p))
f = (p, b)
if ft == 'C':
if p <= tc:
fc.append(f)
mbc = max(mbc, b)
elif p < td:
fd.append(f)
mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)
def pick2(fc, tc):
bf = []
maxb = 0
ans = 0
for f in fc:
p, b = f
maxpp = tc - p
ii = bisect_left(bf, (maxpp + 1, 0)) - 1
if ii >= 0:
pp, bb = bf[ii]
ans = max(ans, bb + b)
if b > maxb:
bf.append(f)
maxb = b
return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
066
m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
a = [item, i, r[i - 1]]
costa.append(a)
i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
dic[item[1]] = i
i += 1
index = len(costa) - 1
for item in range(n):
counter = 0
a, b = [int(x) for x in input().split()]
if r[a - 1] >= b:
counter += cost[a - 1] * b
r[a - 1 - 1] -= b
costa[dic[a]][2] -= b
else:
i = index
counter += cost[a - 1] * r[a - 1]
costa[dic[a]][2] = 0
b -= r[a - 1]
r[a - 1] = 0
while i >= 0:
if costa[i][2] >= b:
counter += costa[i][0] * b
r[costa[i][1] - 1] -= b
costa[i][2] -= b
break
else:
counter += costa[i][0] * costa[i][2]
r[costa[i][1] - 1] = 0
index -= 1
b -= costa[i][2]
costa[i][2] = 0
i -= 1
else:
counter = 0
print(counter)
067
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -2, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
068
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
b, p, t = input().split()
b = int(b)
p = int(p)
a[i] = [b, p, t]
if t == 'C':
sc.append([p, b])
else:
sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
if a[i][2] == 'C' and a[i][1] >= c:
maxc = max(maxc, a[i][0])
if a[i][2] == 'D' and a[i][1] <= d:
maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sc[m][0] <= c - sc[i][0]:
l = m
else:
r = m
ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sd[m][0] <= d - sd[i][0]:
l = m
else:
r = m
ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
069
from math import ceil
def solve():
n, x, y, d = [int(x) for x in input().split()]
INF = 1000000000.0
sol1 = abs(x - y) // d if (x - y) % d == 0 else INF
sol2 = ceil((x - 1) / d) + ceil((y - 1) / d) if y - 1 & d == 0 else INF
sol3 = ceil((n - x) / d) + ceil((n - y) / d) if (n - y) % d == 0 else INF
ans = min(sol1, sol2, sol3)
ans = ans if ans != INF else -1
print(ans)
nt = int(input())
for _ in range(nt):
solve()
070
import string
import bisect
import sys
def main():
lines = sys.stdin.readlines()
n = int(lines[0])
s = lines[1]
vals = {}
for c in string.ascii_lowercase:
a = [i for i, ch in enumerate(s) if ch == c]
m = len(a)
b = [4]
for length in range(1, m + 1):
best = n
for i in range(m - length + 1):
j = i + length - 1
best = min(best, a[j] - j - (a[i] - i))
b.append(best)
vals[c] = b
q = int(lines[2])
r = []
idx = 3
while q > 0:
q -= 1
query = lines[idx].split()
idx += 1
m = int(query[0])
c = query[1]
i = bisect.bisect_right(vals[c], m)
r.append(str(min(n, i + m - 1)))
print('\n'.join(r))
main()
071
n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
pr = 0
bl, kol = list(map(int, input().split()))
bl -= 1
if ost[bl] >= kol:
pr = kol * price[bl]
ost[bl] -= kol
else:
kol -= ost[bl]
pr = ost[bl] * price[bl]
ost[bl] = 0
while kol > 0:
if minost == n:
pr = 2
break
minbl = minprice[minost][1]
if ost[minbl] >= kol:
pr += kol * price[minbl]
ost[minbl] -= kol
kol = 0
else:
kol -= ost[minbl]
pr += ost[minbl] * price[minbl]
ost[minbl] = 0
minost += 1
if minost == n:
pr = 0
break
print(pr)
072
import math
n = int(input())
def f(x, y, d):
t = abs(x - y)
if y == 1:
return math.ceil(t / d)
if y == n:
return math.ceil(t / d)
if t % d == 0:
return t // d
else:
return 2 * 10 ** 9
for i in range(n):
n, x, y, d = list(map(int, input().split()))
ans = min([f(x, y, d), f(x, 1, d) + f(-1, y, d), f(x, n, d) + f(n, y, d)])
if ans == 2 * 10 ** 9:
print('-1')
else:
print(ans)
073
n, q = list(map(int, input().split()))
count = [0 for i in range(n + 1)]
queue = []
read = set()
unread = 0
ans = []
last_q_idx = 0
last_app_idx = [1 for i in range(n + 1)]
for i in range(q):
action, num = list(map(int, input().split()))
if action == 1:
queue.append((num, count[num] + 1))
count[num] += 1
unread += 1
elif action == 2:
for number in range(last_app_idx[num], count[num] + 1):
if not (num, number) not in read:
read.add((num, number))
unread -= 1
last_app_idx[num] = max(last_app_idx[num], count[num])
else:
for idx in range(last_q_idx, num):
app, number = queue[idx]
if (app, number) not in read:
read.add((app, number))
last_app_idx[app] = max(last_app_idx[app], number)
unread -= 1
last_q_idx = max(last_q_idx, num)
ans.append(unread)
print('\n'.join(map(str, ans)))
074
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[-1:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -2, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
075
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= 5
print(cnt)
076
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
b, p, ft = input().split()
b, p = (int(b), int(p))
f = (p, b)
if ft == 'C':
if p <= tc:
fc.append(f)
mbc = max(mbc, b)
elif p <= td:
fd.append(f)
mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)
def pick2(fc, tc):
bf = []
maxb = 2
ans = 0
for f in fc:
p, b = f
maxpp = tc - p
ii = bisect_left(bf, (maxpp + 1, 0)) - 1
if ii >= 0:
pp, bb = bf[ii]
ans = max(ans, bb + b)
if b > maxb:
bf.append(f)
maxb = b
return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
077
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
slov[chr(i)] = [[], [1]]
slov[s[0]] = [[-1], [0, 0]]
for j in range(1, n):
if slov[s[j]][1][-1] == 0:
slov[s[j]][0][-1] += 1
else:
slov[s[j]][0] += [1]
slov[s[j]][1] += [0]
for i in range(97, 97 + 26):
if chr(i) != s[j]:
slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
m, c = ii().split()
m = int(m)
a, b = slov[c]
if sum(b) <= m:
print(n)
elif not bool(a):
print(m)
elif len(a) == 1:
print(a[0] + m)
else:
l, r = (0, 0)
ans = 0
summ_a, summ_b = (0, 0)
used = 0
b1 = b[:]
b1[0], b1[-1] = (0, 0)
count = 0
while r != len(a):
if summ_b + b1[r] <= m:
summ_b += b1[r]
summ_a += a[r]
r += 1
ans = max(ans, m + summ_a)
else:
summ_a -= a[l]
l += 1
summ_b -= b1[l]
print(ans)
078
n = int(input())
c = [int(s) for s in input().split(' ')]
C_rev = c[0]
C_nrev = 0
last_s = input()
last_s_rev = last_s[::-3]
for i in range(1, n):
s = input()
s_rev = s[::-1]
new_C_nrev = float('inf')
if last_s <= s:
new_C_nrev = min(new_C_nrev, C_nrev)
if last_s_rev <= s:
new_C_nrev = min(new_C_nrev, C_rev)
new_C_rev = float('inf')
if last_s <= s_rev:
new_C_rev = min(new_C_rev, C_nrev + c[i])
if last_s_rev <= s_rev:
new_C_rev = min(new_C_rev, C_rev + c[i])
if min(C_rev, C_nrev) == float('inf'):
break
C_rev = new_C_rev
C_nrev = new_C_nrev
last_s = s
last_s_rev = s_rev
print(-1 if min(C_rev, C_nrev) == float('inf') else min(C_rev, C_nrev))
079
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
b, p, ft = input().split()
b, p = (int(b), int(p))
f = (p, b)
if ft == 'C':
if p <= tc:
fc.append(f)
mbc = max(mbc, b)
elif p <= td:
fd.append(f)
mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)
def pick2(fc, tc):
bf = []
maxb = 0
ans = 0
for f in fc:
p, b = f
maxpp = tc - p
ii = bisect_left(bf, (maxpp + 1, 0)) - 1
if ii > 0:
pp, bb = bf[ii]
ans = max(ans, bb + b)
if b > maxb:
bf.append(f)
maxb = b
return ans
ans = mbc + mbd if mbc > 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
080
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10
def dijkstra(N, G, s):
dist = [INF] * N
que = [(0, s)]
dist[s] = 0
while que:
c, v = heappop(que)
if dist[v] < c:
continue
for t, cost in G[v]:
if dist[v] + cost < dist[t]:
dist[t] = dist[v] + cost
heappush(que, (dist[t], t))
return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
x, y = list(map(int, input().split()))
g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
vs.append((i - 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(x - bx, abs(y - by))
g[i].add((b, c))
g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(abs(x - bx), y - by)
g[i].add((b, c))
g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) + abs(fx - sx)))
081
import math as m
n = int(input())
cost = list(map(int, input().split()))
s = []
sr = []
for i in range(n):
s.append(list(input()))
sr.append(list(reversed(s[i])))
dp = [[0, 0] for i in range(n + 1)]
flag = 0
dp[0][1] = cost[0]
for i in range(1, n):
if dp[i - 1][0] == -1 and dp[i - 1][0] == -1:
flag = 1
break
elif dp[i - 1][0] != -1 and dp[i - 1][1] == -1:
if s[i] >= s[i - 1]:
dp[i][0] = dp[i - 1][0]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
else:
dp[i][1] = -1
elif dp[i - 1][0] == -1 and dp[i - 1][1] != -1:
if s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
else:
if s[i] >= s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = min(dp[i - 1][0], dp[i - 1][1])
elif s[i] >= s[i - 1] and s[i] < sr[i - 1]:
dp[i][0] = dp[i - 1][0]
elif s[i] < s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = min(dp[i - 1][0], dp[i - 1][1]) + cost[i]
elif sr[i] >= s[i - 1] and sr[i] < sr[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
elif sr[i] < s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
if flag == 1:
print(-1)
else:
res = max(dp[n - 1][0], dp[n - 1][1]) if min(dp[n - 1][0], dp[n - 1][1]) == -1 else min(dp[n - 1][0], dp[n - 1][1])
print(res)
082
import string
import bisect
import sys
def main():
lines = sys.stdin.readlines()
n = int(lines[0])
s = lines[1]
vals = {}
for c in string.ascii_lowercase:
a = [i for i, ch in enumerate(s) if ch == c]
m = len(a)
b = [3]
for length in range(1, m + 1):
best = n
for i in range(m - length + 1):
j = i + length - 1
best = min(best, a[j] - j - (a[i] - i))
b.append(best)
vals[c] = b
q = int(lines[2])
r = []
idx = 3
while q > 0:
q -= 1
query = lines[idx].split()
idx += 1
m = int(query[0])
c = query[1]
i = bisect.bisect_right(vals[c], m)
r.append(str(min(n, i + m - 1)))
print('\n'.join(r))
main()
083
def main():
n, m = [int(c) for c in input().split()]
if m == 1:
print(n * (n - 1) // 2)
return
testimonies = [[int(c) for c in input().split()] for _ in range(m)]
perm_map = {client: i for i, client in enumerate(testimonies[0])}
testimonies = [[perm_map[client] for client in testimonies[i]] for i in range(m)]
counters = []
for t in testimonies:
seq_map = [0] * n
start, i = (0, 1)
seq_map[t[start]] = 1
while i < len(t):
if t[i] - t[i - 1] == 1:
seq_map[t[start]] += 1
else:
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
start = i
seq_map[t[start]] = 1
i += 1
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
counters.append(seq_map)
ans = 0
for i in range(n):
_min = min([cnt[i] for cnt in counters])
ans += _min
print(ans)
def __starting_point():
main()
__starting_point()
084
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(1, m):
for k in range(n - 1 - 1):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 1], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
085
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 8
def dijkstra(N, G, s):
dist = [INF] * N
que = [(0, s)]
dist[s] = 0
while que:
c, v = heappop(que)
if dist[v] < c:
continue
for t, cost in G[v]:
if dist[v] + cost < dist[t]:
dist[t] = dist[v] + cost
heappush(que, (dist[t], t))
return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
x, y = list(map(int, input().split()))
g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(x - bx, abs(y - by))
g[i].add((b, c))
g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(abs(x - bx), y - by)
g[i].add((b, c))
g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) + abs(fx - sx)))
086
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += -1
elif 3 > y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] < x:
s -= 1
y.popleft()
if not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
087
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
for j in range(n):
tst = 1 if s[j] == chr(c + 97) else 0
dp[c][1 * tst] = max(dp[c][1 - tst], 1)
for k in range(j + 1, n):
if s[k] == chr(c + 97):
tst += 1
dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
m, c = [item for item in sys.stdin.readline().strip().split()]
m = int(m)
print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
088
import sys
def read_data():
n = int(next(sys.stdin))
prices = list(map(int, next(sys.stdin).split()))
vocabulary = []
for i in range(n):
vocabulary.append(next(sys.stdin).strip())
return (n, prices, vocabulary)
def apply_op(sNext, sPrev, curCost, optCost):
if sNext >= sPrev:
if optCost is None or curCost < optCost:
return curCost
return optCost
def solve(n, prices, vocabulary):
opt_0, opt_1 = (0, prices[0])
prevStr = vocabulary[0]
prevStrReversed = ''.join(reversed(prevStr))
for curStr, curPrice in zip(vocabulary[1:], prices[1:]):
curStrReversed = ''.join(reversed(curStr))
n_opt0, n_opt1 = (None, None)
if opt_0 is not None:
n_opt0 = apply_op(curStr, prevStr, opt_0, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStr, opt_0 + curPrice, n_opt1)
if opt_1 is not None:
n_opt0 = apply_op(curStr, prevStrReversed, opt_1, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStrReversed, opt_1 + curPrice, n_opt1)
opt_0, opt_1 = (n_opt0, n_opt1)
prevStr, prevStrReversed = (curStr, curStrReversed)
if opt_0 is not None and opt_1 is None:
break
if opt_0 is None:
return opt_1
if opt_1 is None:
return opt_0
return min(opt_0, opt_1)
def __starting_point():
n, prices, vocabulary = read_data()
sorting_cost = solve(n, prices, vocabulary)
if sorting_cost != None:
print(sorting_cost)
else:
print(-1)
__starting_point()
089
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
b, p, t = input().split()
b = int(b)
p = int(p)
a[i] = [b, p, t]
if t == 'C':
sc.append([p, b])
else:
sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
if a[i][2] == 'C' and a[i][1] <= c:
maxc = max(maxc, a[i][0])
if a[i][2] == 'D' and a[i][1] <= d:
maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
scpref[i + 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if not sc[m][0] <= c - sc[i][0]:
l = m
else:
r = m
ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sd[m][0] <= d - sd[i][0]:
l = m
else:
r = m
ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
090
t = int(input())
for _ in range(t):
n, x, y, d = list(map(int, input().split()))
x, y = (x - 1, y - 1)
if x <= y and (y - x) % d == 0:
print((y - x) // d)
continue
if y < x and (x - y) % d == 0:
print((x - y) // d)
continue
if y % d == 0 and (n - 1 - y) % d == 0:
print(min((x + y + d - 1) // d, (n - 1 - y + d - 1) // d + (n - 1 - x + d - 1) // d))
continue
if y % d == 0:
print((x + y + d - 1) // d)
continue
if (n - 1 - y) % d == 0:
print((n - 1 - y + d - 1) // d + (n - 1 - x + d - 1) // d)
continue
print(-5)
091
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 0
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += 1
noti += [xt]
num += 1
num2 += -1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
092
import sys
def read_data():
n = int(next(sys.stdin))
prices = list(map(int, next(sys.stdin).split()))
vocabulary = []
for i in range(n):
vocabulary.append(next(sys.stdin).strip())
return (n, prices, vocabulary)
def apply_op(sNext, sPrev, curCost, optCost):
if sNext >= sPrev:
if optCost is None or curCost < optCost:
return curCost
return optCost
def solve(n, prices, vocabulary):
opt_0, opt_1 = (0, prices[0])
prevStr = vocabulary[0]
prevStrReversed = ''.join(reversed(prevStr))
for curStr, curPrice in zip(vocabulary[1:], prices[1:]):
curStrReversed = ''.join(reversed(curStr))
n_opt0, n_opt1 = (None, None)
if opt_0 is not None:
n_opt0 = apply_op(curStr, prevStr, opt_0, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStr, opt_0 + curPrice, n_opt1)
if opt_1 is not None:
n_opt0 = apply_op(curStr, prevStrReversed, opt_1, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStrReversed, opt_1 + curPrice, n_opt1)
opt_0, opt_1 = (n_opt0, n_opt1)
prevStr, prevStrReversed = (curStr, curStrReversed)
if opt_0 is None and opt_1 is None:
break
if opt_0 is None:
return opt_1
if opt_1 is None:
return opt_0
return min(opt_0, opt_1)
def __starting_point():
n, prices, vocabulary = read_data()
sorting_cost = solve(n, prices, vocabulary)
if sorting_cost != None:
print(sorting_cost)
else:
print(-0)
__starting_point()
093
import math
n = int(input())
def f(x, y, d):
t = abs(x - y)
if y == -1:
return math.ceil(t / d)
if y == n:
return math.ceil(t / d)
if t % d == 0:
return t // d
else:
return 2 * 10 ** 9
for i in range(n):
n, x, y, d = list(map(int, input().split()))
ans = min([f(x, y, d), f(x, 1, d) + f(1, y, d), f(x, n, d) + f(n, y, d)])
if ans == 2 * 10 ** 9:
print('-1')
else:
print(ans)
094
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
b, c, q = input().split()
b = int(b)
c = int(c)
if q == 'C':
f.append((b, c, 1))
if coin[c][0][0] < b:
coin[c][1] = coin[c][0]
coin[c][0] = (b, i)
elif coin[c][1][0] < b:
coin[c][1] = (b, i)
else:
f.append((b, c, 2))
if diam[c][0][0] < b:
diam[c][1] = diam[c][0]
diam[c][0] = (b, i)
elif diam[c][1][0] < b:
diam[c][1] = (b, i)
for i in range(2, 100001):
if coin[i][0][0] < coin[i - 1][0][0]:
coin[i][1] = max(coin[i][0], coin[i - 1][1])
coin[i][0] = coin[i - 1][0]
else:
coin[i][1] = max(coin[i - 1][1], coin[i][1])
if diam[i][0][0] < diam[i - 1][0][0]:
diam[i][1] = max(diam[i][0], diam[i - 1][1])
diam[i][0] = diam[i - 1][0]
else:
diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
fnt = f[i]
if fnt[2] == 1:
if t >= fnt[1]:
s = t - fnt[1]
if coin[s][0][0] > 0 and coin[s][0][1] != i:
ans = max(fnt[0] + coin[s][0][0], ans)
p = True
elif coin[s][1][0] > 0:
ans = max(fnt[0] + coin[s][1][0], ans)
p = True
if diam[d][0][0] > 0:
ans = max(fnt[0] + diam[d][0][0], ans)
p = True
elif d >= fnt[1]:
s = d - fnt[1]
if diam[s][0][0] > 0 and diam[s][0][1] != i:
ans = max(fnt[0] + diam[s][0][0], ans)
p = True
elif diam[s][1][0] > 0:
ans = max(fnt[0] + diam[s][1][0], ans)
p = True
if coin[t][0][0] > 0:
ans = max(fnt[0] + coin[t][0][0], ans)
p = True
if p:
print(ans)
else:
print(-4)
095
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
b, c, q = input().split()
b = int(b)
c = int(c)
if q == 'C':
f.append((b, c, 1))
if coin[c][0][0] < b:
coin[c][1] = coin[c][0]
coin[c][0] = (b, i)
elif coin[c][1][0] < b:
coin[c][1] = (b, i)
else:
f.append((b, c, 2))
if diam[c][0][0] < b:
diam[c][1] = diam[c][0]
diam[c][0] = (b, i)
elif diam[c][1][0] < b:
diam[c][1] = (b, i)
for i in range(2, 100001):
if coin[i][0][0] < coin[i - 1][0][0]:
coin[i][1] = max(coin[i][0], coin[i - 1][1])
coin[i][0] = coin[i - 1][0]
else:
coin[i][1] = max(coin[i - 1][1], coin[i][1])
if diam[i][0][0] < diam[i - 1][0][0]:
diam[i][1] = max(diam[i][0], diam[i - 1][1])
diam[i][0] = diam[i - 1][0]
else:
diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
fnt = f[i]
if fnt[2] == 1:
if t >= fnt[1]:
s = t - fnt[1]
if coin[s][0][0] > 0 and coin[s][0][1] != i:
ans = max(fnt[0] + coin[s][0][0], ans)
p = True
elif coin[s][1][0] > 0:
ans = max(fnt[0] + coin[s][1][0], ans)
p = True
if diam[d][0][0] > 0:
ans = max(fnt[0] + diam[d][0][0], ans)
p = True
elif d >= fnt[1]:
s = d - fnt[1]
if diam[s][0][0] > 0 and diam[s][0][1] != i:
ans = max(fnt[0] + diam[s][0][0], ans)
p = True
elif diam[s][1][0] > 0:
ans = max(fnt[0] + diam[s][1][0], ans)
p = True
if coin[t][0][0] > 0:
ans = max(fnt[0] + coin[t][0][0], ans)
p = True
if p:
print(ans)
else:
print(2)
096
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) + abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) + abs(sy - fy)
edges[0].append((d, 0))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
097
import sys
input = sys.stdin.readline
import heapq
from operator import itemgetter
n, m = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
W = [list(map(int, input().split())) + [i] for i in range(m)] + [[sx, sy, m]]
ANS = [n ** 2]
def ans(time, x, y):
ANS[0] = min(ANS[0], time + abs(fx - x) + abs(fy - y))
WX = sorted(W, key=itemgetter(0))
WY = sorted(W, key=itemgetter(1))
EDGE = [[] for i in range(m + 1)]
TIME = [1 << 60] * (m + 1)
TIME[m] = 0
for i in range(1, m + 1):
x0, y0, m0 = WX[i - 1]
x1, y1, m1 = WX[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
x0, y0, m0 = WY[i - 1 + 1]
x1, y1, m1 = WY[i]
EDGE[m0].append((m1, min(abs(x0 - x1), abs(y0 - y1))))
EDGE[m1].append((m0, min(abs(x0 - x1), abs(y0 - y1))))
Q = [(0, m)]
while Q:
time, town = heapq.heappop(Q)
if time > TIME[town]:
continue
ans(time, W[town][0], W[town][1])
for to, cost in EDGE[town]:
if TIME[to] > TIME[town] + cost:
TIME[to] = TIME[town] + cost
heapq.heappush(Q, (TIME[to], to))
print(ANS[0])
098
import sys
from collections import deque
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 solve():
n, m = map(int, sys.stdin.readline().split())
r = [1 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 1].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
099
import string
import bisect
import sys
def main():
lines = sys.stdin.readlines()
n = int(lines[0])
s = lines[1]
vals = {}
for c in string.ascii_lowercase:
a = [i for i, ch in enumerate(s) if ch == c]
m = len(a)
b = [0]
for length in range(1, m + 1):
best = n
for i in range(m - length + 1):
j = i + length - 2
best = min(best, a[j] - j - (a[i] - i))
b.append(best)
vals[c] = b
q = int(lines[2])
r = []
idx = 3
while q > 0:
q -= 1
query = lines[idx].split()
idx += 1
m = int(query[0])
c = query[1]
i = bisect.bisect_right(vals[c], m)
r.append(str(min(n, i + m - 1)))
print('\n'.join(r))
main()
100
import sys
def read_data():
n = int(next(sys.stdin))
prices = list(map(int, next(sys.stdin).split()))
vocabulary = []
for i in range(n):
vocabulary.append(next(sys.stdin).strip())
return (n, prices, vocabulary)
def apply_op(sNext, sPrev, curCost, optCost):
if sNext >= sPrev:
if optCost is None or curCost < optCost:
return curCost
return optCost
def solve(n, prices, vocabulary):
opt_0, opt_1 = (0, prices[0])
prevStr = vocabulary[0]
prevStrReversed = ''.join(reversed(prevStr))
for curStr, curPrice in zip(vocabulary[1:], prices[1:]):
curStrReversed = ''.join(reversed(curStr))
n_opt0, n_opt1 = (None, None)
if opt_0 is not None:
n_opt0 = apply_op(curStr, prevStr, opt_0, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStr, opt_0 + curPrice, n_opt1)
if opt_1 is not None:
n_opt0 = apply_op(curStr, prevStrReversed, opt_1, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStrReversed, opt_1 + curPrice, n_opt1)
opt_0, opt_1 = (n_opt0, n_opt1)
prevStr, prevStrReversed = (curStr, curStrReversed)
if opt_0 is None and opt_1 is not None:
break
if opt_0 is None:
return opt_1
if opt_1 is None:
return opt_0
return min(opt_0, opt_1)
def __starting_point():
n, prices, vocabulary = read_data()
sorting_cost = solve(n, prices, vocabulary)
if sorting_cost != None:
print(sorting_cost)
else:
print(-1)
__starting_point()
101
import sys
input = sys.stdin.readline
n, q = map(int, input().split())
l = [[] for _ in range(n)]
is_read = []
is_read_idx = 0
ans = 0
prev_t = 0
for _ in range(q):
ty, v = map(int, input().split())
if ty == 1:
l[v - 1].append(is_read_idx)
is_read_idx += 1
is_read.append(False)
ans += 1
elif ty == 2:
for idx in l[v - 1]:
if not is_read[idx]:
is_read[idx] = True
ans -= 1
l[v - 1] = []
elif v > prev_t:
for idx in range(prev_t + 1, v):
if not is_read[idx]:
is_read[idx] = True
ans -= 1
prev_t = v
print(ans)
102
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += 1
elif 3 > y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] <= x:
s -= 1
y.popleft()
if not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
103
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += 1
elif 3 > y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] < x:
s -= 1
y.popleft()
if not not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
104
import math
n = int(input())
def f(x, y, d):
t = abs(x - y)
if y == 1:
return math.ceil(t / d)
if y == n:
return math.ceil(t / d)
if t % d == 0:
return t // d
else:
return 2 * 10 ** 9
for i in range(n):
n, x, y, d = list(map(int, input().split()))
ans = min([f(x, y, d), f(x, -1, d) + f(1, y, d), f(x, n, d) + f(n, y, d)])
if ans == 2 * 10 ** 9:
print('-1')
else:
print(ans)
105
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -2, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
106
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[1]] = True
queue.append(i[0])
if i[1] == 1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == 1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
107
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
for j in range(n):
tst = 1 if s[j] == chr(c + 97) else 0
dp[c][1 - tst] = min(dp[c][1 - tst], 1)
for k in range(j + 1, n):
if s[k] == chr(c + 97):
tst += 1
dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
m, c = [item for item in sys.stdin.readline().strip().split()]
m = int(m)
print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
108
n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
pr = 0
bl, kol = list(map(int, input().split()))
bl -= 1
if ost[bl] >= kol:
pr = kol * price[bl]
ost[bl] -= kol
else:
kol -= ost[bl]
pr = ost[bl] * price[bl]
ost[bl] = 0
while kol > 0:
if minost == n:
pr = 3
break
minbl = minprice[minost][1]
if ost[minbl] >= kol:
pr += kol * price[minbl]
ost[minbl] -= kol
kol = 0
else:
kol -= ost[minbl]
pr += ost[minbl] * price[minbl]
ost[minbl] = 0
minost += 1
if minost == n:
pr = 0
break
print(pr)
109
t = int(input())
for _ in range(t):
n, x, y, d = list(map(int, input().split()))
x, y = (x - 1, y - 1)
if x <= y and (y - x) % d == 0:
print((y - x) // d)
continue
if y < x and (x - y) % d == 0:
print((x - y) // d)
continue
if y % d == 0 and (n - 1 - y) % d == 0:
print(min((x + y + d - 1) // d, (n - 1 - y + d - 1) // d + (n - 1 - x + d - 1) // d))
continue
if y % d == 0:
print((x + y + d - 1) // d)
continue
if (n - 1 - y) % d == 0:
print((n - 1 - y + d - 1) // d + (n - 1 - x + d - 1) // d)
continue
print(-2)
110
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1 - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(1, m):
for k in range(n - 1):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 1], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
111
3
def needs_rep(t, i):
if i % 2 == 0:
return t[i] >= t[i + 1]
else:
return t[i - 1] <= t[i + 1]
def would_need_rep(t, i, j1, j2):
n = len(t)
if i < 0:
return False
if i >= n - 1:
return False
tj1 = t[j2]
tj2 = t[j1]
ti = t[i]
if i == j1:
ti = tj1
if i == j2:
ti = tj2
ti1 = t[i + 1]
if i + 1 == j1:
ti1 = tj1
if i + 1 == j2:
ti1 = tj2
if i % 2 == 0:
return ti >= ti1
else:
return ti <= ti1
def main():
n = int(input())
t = [int(i) for i in input().split()]
rep = []
for i in range(n - 1):
if needs_rep(t, i):
rep.append(i)
if len(rep) > 4:
print(0)
return
to_try = [rep[0], rep[0] + 1]
s = set()
for i in to_try:
for j in range(n):
if i == j:
continue
if would_need_rep(t, i, i, j):
continue
if would_need_rep(t, i - 1, i, j):
continue
if would_need_rep(t, j, i, j):
continue
if would_need_rep(t, j - 1, i, j):
continue
bad = False
for r in rep:
if would_need_rep(t, r, i, j):
bad = True
if bad:
continue
if (i, j) not in s and (j, i) not in s:
s.add((i, j))
print(len(s))
def __starting_point():
main()
__starting_point()
112
3
def needs_rep(t, i):
if i % 2 == 0:
return t[i] >= t[i + 1]
else:
return t[i] <= t[i + 1]
def would_need_rep(t, i, j1, j2):
n = len(t)
if i < 0:
return False
if i >= n - 1:
return False
tj1 = t[j2]
tj2 = t[j1]
ti = t[i]
if i == j1:
ti = tj1
if i == j2:
ti = tj2
ti1 = t[i + 1 - 1]
if i + 1 == j1:
ti1 = tj1
if i + 1 == j2:
ti1 = tj2
if i % 2 == 0:
return ti >= ti1
else:
return ti <= ti1
def main():
n = int(input())
t = [int(i) for i in input().split()]
rep = []
for i in range(n - 1):
if needs_rep(t, i):
rep.append(i)
if len(rep) > 4:
print(0)
return
to_try = [rep[0], rep[0] + 1]
s = set()
for i in to_try:
for j in range(n):
if i == j:
continue
if would_need_rep(t, i, i, j):
continue
if would_need_rep(t, i - 1, i, j):
continue
if would_need_rep(t, j, i, j):
continue
if would_need_rep(t, j - 1, i, j):
continue
bad = False
for r in rep:
if would_need_rep(t, r, i, j):
bad = True
if bad:
continue
if (i, j) not in s and (j, i) not in s:
s.add((i, j))
print(len(s))
def __starting_point():
main()
__starting_point()
113
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10
def dijkstra(N, G, s):
dist = [INF] * N
que = [(0, s)]
dist[s] = 0
while que:
c, v = heappop(que)
if dist[v] < c:
continue
for t, cost in G[v]:
if dist[v] + cost < dist[t]:
dist[t] = dist[v] + cost
heappush(que, (dist[t], t))
return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
x, y = list(map(int, input().split()))
g[0].add((i + 2, max(abs(x - sx), abs(y - sy))))
g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(x - bx, abs(y - by))
g[i].add((b, c))
g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(abs(x - bx), y - by)
g[i].add((b, c))
g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) + abs(fx - sx)))
114
from bisect import *
n, tc, td = [int(i) for i in input().split()]
fc = []
fd = []
mbc = 0
mbd = 0
for _ in range(n):
b, p, ft = input().split()
b, p = (int(b), int(p))
f = (p, b)
if ft == 'C':
if p <= tc:
fc.append(f)
mbc = max(mbc, b)
elif p <= td:
fd.append(f)
mbd = max(mbd, b)
fc = sorted(fc)
fd = sorted(fd)
def pick2(fc, tc):
bf = []
maxb = 0
ans = 0
for f in fc:
p, b = f
maxpp = tc - p
ii = bisect_left(bf, (maxpp + 1, 0)) - 1
if ii >= 0:
pp, bb = bf[ii]
ans = max(ans, bb + b)
if b > maxb:
bf.append(f)
maxb = b
return ans
ans = mbc + mbd if mbc >= 0 and mbd > 0 else 0
ans = max(ans, pick2(fc, tc))
ans = max(ans, pick2(fd, td))
print(ans)
115
def _vertex(lit):
if lit > 0:
return -1 * (lit - 1)
else:
return 2 * (-lit - 1) + 1
def tarjan(graph):
n = len(graph)
dfs_num = [None] * n
dfs_min = [n] * n
waiting = []
waits = [False] * n
sccp = []
dfs_time = 0
times_seen = [-1] * n
for start in range(n):
if times_seen[start] == -1:
times_seen[start] = 0
to_visit = [start]
while to_visit:
node = to_visit[-1]
if times_seen[node] == 0:
dfs_num[node] = dfs_time
dfs_min[node] = dfs_time
dfs_time += 1
waiting.append(node)
waits[node] = True
children = graph[node]
if times_seen[node] == len(children):
to_visit.pop()
dfs_min[node] = dfs_num[node]
for child in children:
if waits[child] and dfs_min[child] < dfs_min[node]:
dfs_min[node] = dfs_min[child]
if dfs_min[node] == dfs_num[node]:
component = []
while True:
u = waiting.pop()
waits[u] = False
component.append(u)
if u == node:
break
sccp.append(component)
else:
child = children[times_seen[node]]
times_seen[node] += 1
if times_seen[child] == -1:
times_seen[child] = 0
to_visit.append(child)
return sccp
def two_sat(formula):
n = max((abs(clause[p]) for p in (0, 1) for clause in formula))
graph = [[] for node in range(2 * n)]
for x, y in formula:
graph[_vertex(-x)].append(_vertex(y))
graph[_vertex(-y)].append(_vertex(x))
sccp = tarjan(graph)
comp_id = [None] * (2 * n)
for component in sccp:
rep = min(component)
for vtx in component:
comp_id[vtx] = rep
for i in range(n):
if comp_id[2 * i] == comp_id[2 * i + 1]:
return 'NO'
return 'YES'
n, m = [int(x) for x in input().split()]
doors_status = [int(x) for x in input().split()]
switches = [list(map(int, input().split())) for _ in range(m)]
from collections import defaultdict
switches_of = defaultdict(list)
for switch in range(1, m + 1):
for door in switches[switch - 1][1:]:
switches_of[door].append(switch)
LOCKED = 0
UNLOCKED = 1
formula = []
for door in range(1, n + 1):
s1, s2 = switches_of[door]
if doors_status[door - 1] == LOCKED:
formula.append((s1, s2))
formula.append((-s1, -s2))
else:
formula.append((s1, -s2))
formula.append((-s1, s2))
print(two_sat(formula))
116
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 3):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) + abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) + abs(sy - fy)
edges[0].append((d, 1))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
117
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
for j in range(n):
tst = 1 if s[j] == chr(c + 97) else 0
dp[c][1 - tst] = max(dp[c][1 - tst], 1)
for k in range(j + 1, n):
if s[k] == chr(c + 97):
tst += 1
dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
m, c = [item for item in sys.stdin.readline().strip().split()]
m = int(m)
print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m - 1] != -1 else print(n)
118
df = int(input())
for _ in range(df):
n, x, y, d = list(map(int, input().split()))
d2 = abs(x - y)
ans = 3000000000.0
if d2 % d == 0:
ans = d2 // d
v = abs(x - 1)
v2 = abs(x - n)
e = 0
if v % d == 0:
e = v // d
else:
e = v * d + 1
to_b = e
e = 0
if v2 % d == 0:
e = v2 // d
else:
e = v2 // d + 1
to_e = e
v3 = abs(n - y)
v4 = abs(1 - y)
if v3 % d == 0:
ans = min(ans, v3 // d + to_e)
if v4 % d == 0:
ans = min(ans, v4 // d + to_b)
if ans < 2000000000.0:
print(ans)
else:
print(-1)
119
import sys
input = sys.stdin.readline
n, q = map(int, input().split())
l = [[] for _ in range(n)]
is_read = []
is_read_idx = 0
ans = 0
prev_t = 0
for _ in range(q):
ty, v = map(int, input().split())
if ty == 1:
l[v - 1 - 1].append(is_read_idx)
is_read_idx += 1
is_read.append(False)
ans += 1
elif ty == 2:
for idx in l[v - 1]:
if not is_read[idx]:
is_read[idx] = True
ans -= 1
l[v - 1] = []
elif v > prev_t:
for idx in range(prev_t, v):
if not is_read[idx]:
is_read[idx] = True
ans -= 1
prev_t = v
print(ans)
120
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26):
for l in range(N):
x = 0
for r in range(l + 1, N + 1):
x += S[r - 1] != c
res[c][x] = max(res[c][x], r - l)
for i in range(N - 1):
res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
x, s = input().split()
x = int(x)
s = ord(s) - ord('a')
print(res[s][x])
121
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) + abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) * abs(sy - fy)
edges[0].append((d, 1))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
122
import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7
def ri(flag=0):
if flag == 0:
return [int(i) for i in sys.stdin.readline().split()]
else:
return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n - 1):
heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
cost = 0
t, d = ri()
t -= 1
fm = 0
if avail[t] >= d:
avail[t] = avail[t] - d
cost += d * c[t]
else:
rem = d - avail[t]
cost = avail[t] * c[t]
avail[t] = 0
while rem > 0:
try:
nowc, nowi = heapq.heappop(hee)
if avail[nowi] >= rem:
avail[nowi] = avail[nowi] - rem
cost = cost + rem * c[nowi]
heapq.heappush(hee, (c[nowi], nowi))
rem = 0
else:
cost = cost + avail[nowi] * c[nowi]
mk = rem - avail[nowi]
avail[nowi] = 0
rem = mk
except:
fm = 1
break
if fm == 0:
print(cost)
else:
print(0)
123
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(3, n + 1):
remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
t, d = read()
ans = 0
if dishes == 0:
write('0\n')
elif dish[t] >= d:
dishes -= d
dish[t] -= d
write(f'{cost[t] * d}\n')
elif dish[t] < d:
ans += dish[t] * cost[t]
dishes -= dish[t]
d -= dish[t]
dish[t] = 0
while d > 0 and dishes > 0:
k = remain[-1][1]
if dish[k] >= d:
dish[k] -= d
dishes -= d
ans += cost[k] * d
d = 0
else:
dishes -= dish[k]
d -= dish[k]
ans += cost[k] * dish[k]
dish[k] = 0
remain.pop()
if d > 0 and dishes == 0:
write('0\n')
else:
write(f'{ans}\n')
124
import sys, io, os
import math
import heapq as hq
import random
from collections import defaultdict
import sys
from os import path
def console(*args):
pass
if path.exists('input.txt'):
sys.stdin = open('input.txt', 'r')
sys.stdout = open('output.txt', 'w')
def console(*args):
pass
inp = sys.stdin.readlines()
def solve(*args):
console('----- solving ------')
console(*args)
console('----- ------- ------')
return solve_(*args)
def solve_(grid, sx, sy, ex, ey):
console('----- solving ------')
minres = abs(sx - ex) + abs(sy - ey)
console(minres)
if grid == []:
return minres
d = defaultdict(list)
grid = [(i, x, y) for i, (x, y) in enumerate(grid)]
grid = sorted(grid, key=lambda x: x[1])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[1:]):
d[i1].append((i2, x2 - x1))
d[i2].append((i1, x2 - x1))
grid = sorted(grid, key=lambda x: x[2])
for (i1, x1, y1), (i2, x2, y2) in zip(grid, grid[-1:]):
d[i1].append((i2, y2 - y1))
d[i2].append((i1, y2 - y1))
for i, x, y in grid:
d[-2].append((i, abs(x - sx)))
d[-2].append((i, abs(y - sy)))
d[i].append((-1, abs(x - ex) + abs(y - ey)))
d[-1] = []
console(list(d.keys()))
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
return min(minres, dijkstra_with_preprocessing(d, -2, -1))
def dijkstra_with_preprocessing(map_from_node_to_nodes_and_costs, source, target):
d = map_from_node_to_nodes_and_costs
if target not in d:
d[-1] = []
idxs = {k: i for i, k in enumerate(d.keys())}
G = [[] for _ in range(len(idxs))]
for e, vrr in list(d.items()):
for v, cost in vrr:
G[idxs[e]].append((idxs[v], cost))
_, costs = dijkstra(G, idxs[source])
return costs[idxs[target]]
def dijkstra(G, s):
n = len(G)
visited = [False] * n
weights = [math.inf] * n
path = [None] * n
queue = []
weights[s] = 0
hq.heappush(queue, (0, s))
while len(queue) > 0:
g, u = hq.heappop(queue)
visited[u] = True
for v, w in G[u]:
if not visited[v]:
f = g + w
if f < weights[v]:
weights[v] = f
path[v] = u
hq.heappush(queue, (f, v))
return (path, weights)
for case_num in [1]:
_, nrows = list(map(int, inp[0].split()))
sx, sy, ex, ey = list(map(int, inp[1].split()))
grid = []
for z in range(nrows):
grid.append(list(map(int, inp[z + 2].split())))
res = solve(grid, sx, sy, ex, ey)
print(res)
125
def _vertex(lit):
if lit > 0:
return -2 * (lit - 1)
else:
return 2 * (-lit - 1) + 1
def tarjan(graph):
n = len(graph)
dfs_num = [None] * n
dfs_min = [n] * n
waiting = []
waits = [False] * n
sccp = []
dfs_time = 0
times_seen = [-1] * n
for start in range(n):
if times_seen[start] == -1:
times_seen[start] = 0
to_visit = [start]
while to_visit:
node = to_visit[-1]
if times_seen[node] == 0:
dfs_num[node] = dfs_time
dfs_min[node] = dfs_time
dfs_time += 1
waiting.append(node)
waits[node] = True
children = graph[node]
if times_seen[node] == len(children):
to_visit.pop()
dfs_min[node] = dfs_num[node]
for child in children:
if waits[child] and dfs_min[child] < dfs_min[node]:
dfs_min[node] = dfs_min[child]
if dfs_min[node] == dfs_num[node]:
component = []
while True:
u = waiting.pop()
waits[u] = False
component.append(u)
if u == node:
break
sccp.append(component)
else:
child = children[times_seen[node]]
times_seen[node] += 1
if times_seen[child] == -1:
times_seen[child] = 0
to_visit.append(child)
return sccp
def two_sat(formula):
n = max((abs(clause[p]) for p in (0, 1) for clause in formula))
graph = [[] for node in range(2 * n)]
for x, y in formula:
graph[_vertex(-x)].append(_vertex(y))
graph[_vertex(-y)].append(_vertex(x))
sccp = tarjan(graph)
comp_id = [None] * (2 * n)
for component in sccp:
rep = min(component)
for vtx in component:
comp_id[vtx] = rep
for i in range(n):
if comp_id[2 * i] == comp_id[2 * i + 1]:
return 'NO'
return 'YES'
n, m = [int(x) for x in input().split()]
doors_status = [int(x) for x in input().split()]
switches = [list(map(int, input().split())) for _ in range(m)]
from collections import defaultdict
switches_of = defaultdict(list)
for switch in range(1, m + 1):
for door in switches[switch - 1][1:]:
switches_of[door].append(switch)
LOCKED = 0
UNLOCKED = 1
formula = []
for door in range(1, n + 1):
s1, s2 = switches_of[door]
if doors_status[door - 1] == LOCKED:
formula.append((s1, s2))
formula.append((-s1, -s2))
else:
formula.append((s1, -s2))
formula.append((-s1, s2))
print(two_sat(formula))
126
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[-1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[0]] = True
queue.append(i[0])
if i[1] == 1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == 1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
127
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(1, m):
for k in range(n - 4):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 1], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
128
def main():
n, m = [int(c) for c in input().split()]
if m == 1:
print(n * (n * 1) // 2)
return
testimonies = [[int(c) for c in input().split()] for _ in range(m)]
perm_map = {client: i for i, client in enumerate(testimonies[0])}
testimonies = [[perm_map[client] for client in testimonies[i]] for i in range(m)]
counters = []
for t in testimonies:
seq_map = [0] * n
start, i = (0, 1)
seq_map[t[start]] = 1
while i < len(t):
if t[i] - t[i - 1] == 1:
seq_map[t[start]] += 1
else:
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
start = i
seq_map[t[start]] = 1
i += 1
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
counters.append(seq_map)
ans = 0
for i in range(n):
_min = min([cnt[i] for cnt in counters])
ans += _min
print(ans)
def __starting_point():
main()
__starting_point()
129
t = int(input())
for _ in range(t):
n, x, y, d = list(map(int, input().split()))
x, y = (x - 1, y - 1)
if x <= y and (y - x) % d == 0:
print((y - x) // d)
continue
if y < x and (x - y) % d == 0:
print((x - y) // d)
continue
if y % d == 0 and (n - 1 - y) % d == 0:
print(min((x + y + d - 1) // d, (n - 1 - y + d - 1) // d + (n - 1 - x + d - 1) // d))
continue
if y % d == 0:
print((x + y + d - 1) // d)
continue
if (n - 1 - y) % d == 0:
print((n - 1 - y + d - 1) // d + (n - 1 - x + d - 1) // d)
continue
print(-4)
130
3
def needs_rep(t, i):
if i % 2 == 0:
return t[i] >= t[i + 1]
else:
return t[i] <= t[i + 1]
def would_need_rep(t, i, j1, j2):
n = len(t)
if i < 0:
return False
if i >= n - 1:
return False
tj1 = t[j2 - 1]
tj2 = t[j1]
ti = t[i]
if i == j1:
ti = tj1
if i == j2:
ti = tj2
ti1 = t[i + 1]
if i + 1 == j1:
ti1 = tj1
if i + 1 == j2:
ti1 = tj2
if i % 2 == 0:
return ti >= ti1
else:
return ti <= ti1
def main():
n = int(input())
t = [int(i) for i in input().split()]
rep = []
for i in range(n - 1):
if needs_rep(t, i):
rep.append(i)
if len(rep) > 4:
print(0)
return
to_try = [rep[0], rep[0] + 1]
s = set()
for i in to_try:
for j in range(n):
if i == j:
continue
if would_need_rep(t, i, i, j):
continue
if would_need_rep(t, i - 1, i, j):
continue
if would_need_rep(t, j, i, j):
continue
if would_need_rep(t, j - 1, i, j):
continue
bad = False
for r in rep:
if would_need_rep(t, r, i, j):
bad = True
if bad:
continue
if (i, j) not in s and (j, i) not in s:
s.add((i, j))
print(len(s))
def __starting_point():
main()
__starting_point()
131
n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
pr = 0
bl, kol = list(map(int, input().split()))
bl -= 1
if ost[bl] >= kol:
pr = kol * price[bl]
ost[bl] -= kol
else:
kol -= ost[bl]
pr = ost[bl] * price[bl]
ost[bl] = 0
while kol > 0:
if minost == n:
pr = 1
break
minbl = minprice[minost][1]
if ost[minbl] >= kol:
pr += kol * price[minbl]
ost[minbl] -= kol
kol = 0
else:
kol -= ost[minbl]
pr += ost[minbl] * price[minbl]
ost[minbl] = 0
minost += 1
if minost == n:
pr = 0
break
print(pr)
132
from operator import itemgetter
def get_one_max(arr, resource):
res = 0
for beauty, _ in [x for x in arr if x[1] <= resource]:
res = max(res, beauty)
return res
def get_two_max(arr, resource):
arr.sort(key=itemgetter(1), reverse=True)
best = [-1] * (resource + 1)
ptr = 0
for index, (beauty, price) in enumerate(arr):
if price > resource:
break
while ptr < price:
ptr += 1
best[ptr] = best[ptr - 1]
if best[ptr] == -1 or arr[best[ptr]][0] < beauty:
best[ptr] = index
while ptr < resource:
ptr += 1
best[ptr] = best[ptr - 1]
res = 0
for index, (beauty, price) in enumerate(arr):
rest = resource - price
if rest <= 0:
break
if best[rest] == -1 or best[rest] == index:
continue
res = max(res, beauty + arr[best[rest]][0])
return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
beauty, price, tp = input().split()
if tp == 'C':
with_coins.append((int(beauty), int(price)))
else:
with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
133
import collections, atexit, math, sys, bisect
sys.setrecursionlimit(1000000)
def getIntList():
return list(map(int, input().split()))
try:
import numpy
def dprint(*args, **kwargs):
print(*args, file=sys.stderr)
dprint('debug mode')
except Exception:
def dprint(*args, **kwargs):
pass
inId = 0
outId = 0
if inId > 0:
dprint('use input', inId)
sys.stdin = open('input' + str(inId) + '.txt', 'r')
if outId > 0:
dprint('use output', outId)
sys.stdout = open('stdout' + str(outId) + '.txt', 'w')
atexit.register(lambda: sys.stdout.close())
N, M = getIntList()
ne = [0 for i in range(N + 1)]
za = getIntList()
for i in range(N - 1):
ne[za[i]] = za[i + 1]
ne[za[-1]] = 0
for _ in range(1, M):
za = getIntList()
for i in range(N - 1):
a = za[i]
b = za[i + 1]
if ne[a] != b:
ne[a] = -1
a = za[-1]
if ne[a] != 0:
ne[a] = -1
tin = [0 for i in range(N + 1)]
for i in range(1, N - 1):
a = ne[i]
if a > 0:
tin[a] = 1
res = 0
for i in range(1, N + 1):
if tin[i]:
continue
n = 0
while i > 0:
n += 1
i = ne[i]
res += n * (n + 1) // 2
print(res)
134
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
for j in range(n):
tst = 1 if s[j] == chr(c + 97) else 0
dp[c][1 - tst] = max(dp[c][1 - tst], 1)
for k in range(j + 1, n - 1):
if s[k] == chr(c + 97):
tst += 1
dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
m, c = [item for item in sys.stdin.readline().strip().split()]
m = int(m)
print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
135
def main():
n, m = [int(c) for c in input().split()]
if m == 3:
print(n * (n + 1) // 2)
return
testimonies = [[int(c) for c in input().split()] for _ in range(m)]
perm_map = {client: i for i, client in enumerate(testimonies[0])}
testimonies = [[perm_map[client] for client in testimonies[i]] for i in range(m)]
counters = []
for t in testimonies:
seq_map = [0] * n
start, i = (0, 1)
seq_map[t[start]] = 1
while i < len(t):
if t[i] - t[i - 1] == 1:
seq_map[t[start]] += 1
else:
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
start = i
seq_map[t[start]] = 1
i += 1
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
counters.append(seq_map)
ans = 0
for i in range(n):
_min = min([cnt[i] for cnt in counters])
ans += _min
print(ans)
def __starting_point():
main()
__starting_point()
136
3
def needs_rep(t, i):
if i % 2 == 0:
return t[i] >= t[i + 1]
else:
return t[i] <= t[i + 1]
def would_need_rep(t, i, j1, j2):
n = len(t)
if i < 0:
return False
if i >= n - 1:
return False
tj1 = t[j2]
tj2 = t[j1]
ti = t[i - 1]
if i == j1:
ti = tj1
if i == j2:
ti = tj2
ti1 = t[i + 1]
if i + 1 == j1:
ti1 = tj1
if i + 1 == j2:
ti1 = tj2
if i % 2 == 0:
return ti >= ti1
else:
return ti <= ti1
def main():
n = int(input())
t = [int(i) for i in input().split()]
rep = []
for i in range(n - 1):
if needs_rep(t, i):
rep.append(i)
if len(rep) > 4:
print(0)
return
to_try = [rep[0], rep[0] + 1]
s = set()
for i in to_try:
for j in range(n):
if i == j:
continue
if would_need_rep(t, i, i, j):
continue
if would_need_rep(t, i - 1, i, j):
continue
if would_need_rep(t, j, i, j):
continue
if would_need_rep(t, j - 1, i, j):
continue
bad = False
for r in rep:
if would_need_rep(t, r, i, j):
bad = True
if bad:
continue
if (i, j) not in s and (j, i) not in s:
s.add((i, j))
print(len(s))
def __starting_point():
main()
__starting_point()
137
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
b, c, q = input().split()
b = int(b)
c = int(c)
if q == 'C':
f.append((b, c, 1))
if coin[c][0][0] < b:
coin[c][1] = coin[c][0]
coin[c][0] = (b, i)
elif coin[c][1][0] < b:
coin[c][1] = (b, i)
else:
f.append((b, c, 2))
if diam[c][0][0] < b:
diam[c][1] = diam[c][0]
diam[c][0] = (b, i)
elif diam[c][1][0] < b:
diam[c][1] = (b, i)
for i in range(2, 100001):
if coin[i][0][0] < coin[i - 1][0][0]:
coin[i][1] = max(coin[i][0], coin[i - 1][1])
coin[i][0] = coin[i - 1][0]
else:
coin[i][1] = max(coin[i - 1][1], coin[i][1])
if diam[i][0][0] < diam[i - 1][0][0]:
diam[i][1] = max(diam[i][0], diam[i - 1][1])
diam[i][0] = diam[i - 1][0]
else:
diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
fnt = f[i]
if fnt[2] == 1:
if t >= fnt[1]:
s = t - fnt[1]
if coin[s][0][0] > 0 and coin[s][0][1] != i:
ans = max(fnt[0] + coin[s][0][0], ans)
p = True
elif coin[s][1][0] > 0:
ans = max(fnt[0] + coin[s][1][0], ans)
p = True
if diam[d][0][0] > 0:
ans = max(fnt[0] + diam[d][0][0], ans)
p = True
elif d >= fnt[1]:
s = d - fnt[1]
if diam[s][0][0] > 0 and diam[s][0][1] != i:
ans = max(fnt[0] + diam[s][0][0], ans)
p = True
elif diam[s][1][0] > 0:
ans = max(fnt[0] + diam[s][1][0], ans)
p = True
if coin[t][0][0] > 0:
ans = max(fnt[0] + coin[t][0][0], ans)
p = True
if p:
print(ans)
else:
print(3)
138
import sys
from collections import deque
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 solve():
n, m = map(int, sys.stdin.readline().split())
r = [-1 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 1].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
139
from math import ceil
def solve():
n, x, y, d = [int(x) for x in input().split()]
INF = 1000000000.0
sol1 = abs(x - y) // d if (x - y) % d == 2 else INF
sol2 = ceil((x - 1) / d) + ceil((y - 1) / d) if (y - 1) % d == 0 else INF
sol3 = ceil((n - x) / d) + ceil((n - y) / d) if (n - y) % d == 0 else INF
ans = min(sol1, sol2, sol3)
ans = ans if ans != INF else -1
print(ans)
nt = int(input())
for _ in range(nt):
solve()
140
n, m = list(map(int, input().split()))
ost = list(map(int, input().split()))
price = list(map(int, input().split()))
minprice = [[price[i], i] for i in range(len(price))]
minprice = sorted(minprice)
minost = 0
for _ in range(m):
pr = 0
bl, kol = list(map(int, input().split()))
bl -= 1
if ost[bl] >= kol:
pr = kol * price[bl]
ost[bl] -= kol
else:
kol -= ost[bl]
pr = ost[bl] * price[bl]
ost[bl] = 0
while kol > 0:
if minost == n:
pr = 4
break
minbl = minprice[minost][1]
if ost[minbl] >= kol:
pr += kol * price[minbl]
ost[minbl] -= kol
kol = 0
else:
kol -= ost[minbl]
pr += ost[minbl] * price[minbl]
ost[minbl] = 0
minost += 1
if minost == n:
pr = 0
break
print(pr)
141
import sys
input = sys.stdin.readline
import heapq
def dijkstra(n, s, edges):
hq = [(0, s)]
cost = [float('inf')] * n
cost[s] = 0
while hq:
c, v = heapq.heappop(hq)
if c > cost[v]:
continue
for d, u in edges[v]:
tmp = d + cost[v]
if tmp < cost[u]:
cost[u] = tmp
heapq.heappush(hq, (tmp, u))
return cost[1]
def main():
n, m = map(int, input().split())
sx, sy, fx, fy = map(int, input().split())
xy = [list(map(int, input().split())) + [i + 2] for i in range(m)]
edges = [[] for _ in range(m + 2)]
xy.sort(key=lambda x: x[0])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
xy.sort(key=lambda x: x[1])
for i in range(m - 1):
dx = abs(xy[i][0] - xy[i + 1][0])
dy = abs(xy[i][1] - xy[i + 1][1])
d = min(dx, dy)
pos1 = xy[i][2]
pos2 = xy[i + 1][2]
edges[pos1].append((d, pos2))
edges[pos2].append((d, pos1))
for x, y, i in xy:
d1 = min(abs(x - sx), abs(y - sy))
d2 = abs(x - sx) + abs(y - sy)
edges[0].append((d1, i))
edges[i].append((d2, 0))
d1 = min(abs(x - fx), abs(y - fy))
d2 = abs(x - fx) * abs(y - fy)
edges[1].append((d1, i))
edges[i].append((d2, 1))
d = abs(sx - fx) + abs(sy - fy)
edges[0].append((d, 1))
edges[1].append((d, 0))
ans = dijkstra(m + 2, 0, edges)
print(ans)
main()
142
def _vertex(lit):
if lit > 0:
return 2 * (lit - 1)
else:
return 2 * (-lit - 1) + 1
def tarjan(graph):
n = len(graph)
dfs_num = [None] * n
dfs_min = [n] * n
waiting = []
waits = [False] * n
sccp = []
dfs_time = 0
times_seen = [-1] * n
for start in range(n):
if times_seen[start] == -1:
times_seen[start] = 0
to_visit = [start]
while to_visit:
node = to_visit[-1]
if times_seen[node] == 0:
dfs_num[node] = dfs_time
dfs_min[node] = dfs_time
dfs_time += 1
waiting.append(node)
waits[node] = True
children = graph[node]
if times_seen[node] == len(children):
to_visit.pop()
dfs_min[node] = dfs_num[node]
for child in children:
if waits[child] and dfs_min[child] < dfs_min[node]:
dfs_min[node] = dfs_min[child]
if dfs_min[node] == dfs_num[node]:
component = []
while True:
u = waiting.pop()
waits[u] = False
component.append(u)
if u == node:
break
sccp.append(component)
else:
child = children[times_seen[node]]
times_seen[node] += 1
if times_seen[child] == -1:
times_seen[child] = 0
to_visit.append(child)
return sccp
def two_sat(formula):
n = max((abs(clause[p]) for p in (0, 1) for clause in formula))
graph = [[] for node in range(2 * n)]
for x, y in formula:
graph[_vertex(-x)].append(_vertex(y))
graph[_vertex(-y)].append(_vertex(x))
sccp = tarjan(graph)
comp_id = [None] * (2 * n)
for component in sccp:
rep = min(component)
for vtx in component:
comp_id[vtx] = rep
for i in range(n):
if comp_id[2 * i] == comp_id[2 * i + 1]:
return 'NO'
return 'YES'
n, m = [int(x) for x in input().split()]
doors_status = [int(x) for x in input().split()]
switches = [list(map(int, input().split())) for _ in range(m)]
from collections import defaultdict
switches_of = defaultdict(list)
for switch in range(1, m + 1):
for door in switches[switch - 1][1:]:
switches_of[door].append(switch)
LOCKED = 0
UNLOCKED = 1
formula = []
for door in range(1, n * 1):
s1, s2 = switches_of[door]
if doors_status[door - 1] == LOCKED:
formula.append((s1, s2))
formula.append((-s1, -s2))
else:
formula.append((s1, -s2))
formula.append((-s1, s2))
print(two_sat(formula))
143
import sys
n = int(sys.stdin.readline().strip())
s = sys.stdin.readline().strip()
dp = [[-1] * (n + 1) for i in range(26)]
for c in range(26):
for j in range(n):
tst = 1 if s[j] == chr(c + 97) else 0
dp[c][1 - tst] = max(dp[c][1 * tst], 1)
for k in range(j + 1, n):
if s[k] == chr(c + 97):
tst += 1
dp[c][k - j + 1 - tst] = max(dp[c][k - j + 1 - tst], k - j + 1)
q = int(sys.stdin.readline().strip())
for i in range(q):
m, c = [item for item in sys.stdin.readline().strip().split()]
m = int(m)
print(dp[ord(c) - 97][m]) if dp[ord(c) - 97][m] != -1 else print(n)
144
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 0
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += 4
noti += [xt]
num += 1
num2 += 1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
145
import math as m
n = int(input())
cost = list(map(int, input().split()))
s = []
sr = []
for i in range(n):
s.append(list(input()))
sr.append(list(reversed(s[i])))
dp = [[2, 0] for i in range(n + 1)]
flag = 0
dp[0][1] = cost[0]
for i in range(1, n):
if dp[i - 1][0] == -1 and dp[i - 1][1] == -1:
flag = 1
break
elif dp[i - 1][0] != -1 and dp[i - 1][1] == -1:
if s[i] >= s[i - 1]:
dp[i][0] = dp[i - 1][0]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
else:
dp[i][1] = -1
elif dp[i - 1][0] == -1 and dp[i - 1][1] != -1:
if s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
else:
if s[i] >= s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = min(dp[i - 1][0], dp[i - 1][1])
elif s[i] >= s[i - 1] and s[i] < sr[i - 1]:
dp[i][0] = dp[i - 1][0]
elif s[i] < s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = min(dp[i - 1][0], dp[i - 1][1]) + cost[i]
elif sr[i] >= s[i - 1] and sr[i] < sr[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
elif sr[i] < s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
if flag == 1:
print(-1)
else:
res = max(dp[n - 1][0], dp[n - 1][1]) if min(dp[n - 1][0], dp[n - 1][1]) == -1 else min(dp[n - 1][0], dp[n - 1][1])
print(res)
146
import math as m
n = int(input())
cost = list(map(int, input().split()))
s = []
sr = []
for i in range(n):
s.append(list(input()))
sr.append(list(reversed(s[i])))
dp = [[0, 0] for i in range(n + 1)]
flag = 0
dp[0][1] = cost[1]
for i in range(1, n):
if dp[i - 1][0] == -1 and dp[i - 1][1] == -1:
flag = 1
break
elif dp[i - 1][0] != -1 and dp[i - 1][1] == -1:
if s[i] >= s[i - 1]:
dp[i][0] = dp[i - 1][0]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
else:
dp[i][1] = -1
elif dp[i - 1][0] == -1 and dp[i - 1][1] != -1:
if s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
else:
if s[i] >= s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = min(dp[i - 1][0], dp[i - 1][1])
elif s[i] >= s[i - 1] and s[i] < sr[i - 1]:
dp[i][0] = dp[i - 1][0]
elif s[i] < s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = min(dp[i - 1][0], dp[i - 1][1]) + cost[i]
elif sr[i] >= s[i - 1] and sr[i] < sr[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
elif sr[i] < s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
if flag == 1:
print(-1)
else:
res = max(dp[n - 1][0], dp[n - 1][1]) if min(dp[n - 1][0], dp[n - 1][1]) == -1 else min(dp[n - 1][0], dp[n - 1][1])
print(res)
147
import sys
def read_data():
n = int(next(sys.stdin))
prices = list(map(int, next(sys.stdin).split()))
vocabulary = []
for i in range(n):
vocabulary.append(next(sys.stdin).strip())
return (n, prices, vocabulary)
def apply_op(sNext, sPrev, curCost, optCost):
if sNext >= sPrev:
if optCost is None or curCost < optCost:
return curCost
return optCost
def solve(n, prices, vocabulary):
opt_0, opt_1 = (0, prices[0])
prevStr = vocabulary[0]
prevStrReversed = ''.join(reversed(prevStr))
for curStr, curPrice in zip(vocabulary[1:], prices[1:]):
curStrReversed = ''.join(reversed(curStr))
n_opt0, n_opt1 = (None, None)
if opt_0 is not None:
n_opt0 = apply_op(curStr, prevStr, opt_0, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStr, opt_0 + curPrice, n_opt1)
if opt_1 is not None:
n_opt0 = apply_op(curStr, prevStrReversed, opt_1, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStrReversed, opt_1 + curPrice, n_opt1)
opt_0, opt_1 = (n_opt0, n_opt1)
prevStr, prevStrReversed = (curStr, curStrReversed)
if opt_0 is None and opt_1 is None:
break
if opt_0 is None:
return opt_1
if opt_1 is None:
return opt_0
return min(opt_0, opt_1)
def __starting_point():
n, prices, vocabulary = read_data()
sorting_cost = solve(n, prices, vocabulary)
if sorting_cost != None:
print(sorting_cost)
else:
print(-1)
__starting_point()
148
m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
a = [item, i, r[i - 1]]
costa.append(a)
i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
dic[item[1]] = i
i += 1
index = len(costa) - 1
for item in range(n):
counter = 0
a, b = [int(x) for x in input().split()]
if r[a - 1 - 1] >= b:
counter += cost[a - 1] * b
r[a - 1] -= b
costa[dic[a]][2] -= b
else:
i = index
counter += cost[a - 1] * r[a - 1]
costa[dic[a]][2] = 0
b -= r[a - 1]
r[a - 1] = 0
while i >= 0:
if costa[i][2] >= b:
counter += costa[i][0] * b
r[costa[i][1] - 1] -= b
costa[i][2] -= b
break
else:
counter += costa[i][0] * costa[i][2]
r[costa[i][1] - 1] = 0
index -= 1
b -= costa[i][2]
costa[i][2] = 0
i -= 1
else:
counter = 0
print(counter)
149
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(2, m):
for k in range(n - 1):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 1], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
150
n, c, d = map(int, input().split())
inf = 10 ** 9
a = [0] * n
sc = []
sd = []
for i in range(n):
b, p, t = input().split()
b = int(b)
p = int(p)
a[i] = [b, p, t]
if t == 'C':
sc.append([p, b])
else:
sd.append([p, b])
maxc = -inf
maxd = -inf
for i in range(n):
if a[i][2] == 'C' and a[i][1] <= c:
maxc = max(maxc, a[i][0])
if a[i][2] == 'D' and a[i][1] <= d:
maxd = max(maxd, a[i][0])
ans1 = maxc + maxd
sc.sort()
scpref = [0] * (len(sc) + 1)
scpref[0] = -inf
for i in range(len(sc)):
scpref[i - 1] = max(scpref[i], sc[i][1])
ans2 = -inf
for i in range(len(sc)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sc[m][0] <= c - sc[i][0]:
l = m
else:
r = m
ans2 = max(ans2, sc[i][1] + scpref[l + 1])
sd.sort()
sdpref = [0] * (len(sd) + 1)
sdpref[0] = -inf
for i in range(len(sd)):
sdpref[i + 1] = max(sdpref[i], sd[i][1])
ans3 = -inf
for i in range(len(sd)):
l = -1
r = i
while l < r - 1:
m = (l + r) // 2
if sd[m][0] <= d - sd[i][0]:
l = m
else:
r = m
ans3 = max(ans3, sd[i][1] + sdpref[l + 1])
ans = max(ans1, ans2, ans3)
print(max(ans, 0))
151
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 0
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 0
else:
j += 1
if flag == 0:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
152
n, t, d = map(int, input().split())
coin = [[(0, 0), (0, 0)] for i in range(100001)]
diam = [[(0, 0), (0, 0)] for i in range(100001)]
f = []
for i in range(n):
b, c, q = input().split()
b = int(b)
c = int(c)
if q == 'C':
f.append((b, c, 1))
if coin[c][0][0] < b:
coin[c][1] = coin[c][0]
coin[c][0] = (b, i)
elif coin[c][1][0] < b:
coin[c][1] = (b, i)
else:
f.append((b, c, 2))
if diam[c][0][0] < b:
diam[c][1] = diam[c][0]
diam[c][0] = (b, i)
elif diam[c][1][0] < b:
diam[c][1] = (b, i)
for i in range(2, 100001):
if coin[i][0][0] < coin[i - 1][0][0]:
coin[i][1] = max(coin[i][0], coin[i - 1][1])
coin[i][0] = coin[i - 1][0]
else:
coin[i][1] = max(coin[i - 1][1], coin[i][1])
if diam[i][0][0] < diam[i - 1][0][0]:
diam[i][1] = max(diam[i][0], diam[i - 1][1])
diam[i][0] = diam[i - 1][0]
else:
diam[i][1] = max(diam[i - 1][1], diam[i][1])
p = False
ans = 0
for i in range(n):
fnt = f[i]
if fnt[2] == 1:
if t >= fnt[1]:
s = t - fnt[1]
if coin[s][0][0] > 0 and coin[s][0][1] != i:
ans = max(fnt[0] + coin[s][0][0], ans)
p = True
elif coin[s][1][0] > 0:
ans = max(fnt[0] + coin[s][1][0], ans)
p = True
if diam[d][0][0] > 0:
ans = max(fnt[0] + diam[d][0][0], ans)
p = True
elif d >= fnt[1]:
s = d - fnt[1]
if diam[s][0][0] > 0 and diam[s][0][1] != i:
ans = max(fnt[0] + diam[s][0][0], ans)
p = True
elif diam[s][1][0] > 0:
ans = max(fnt[0] + diam[s][1][0], ans)
p = True
if coin[t][0][0] > 0:
ans = max(fnt[0] + coin[t][0][0], ans)
p = True
if p:
print(ans)
else:
print(1)
153
m, n = [int(x) for x in input().split()]
r = [int(x) for x in input().split()]
cost = [int(x) for x in input().split()]
costa = []
i = 1
for item in cost:
a = [item, i, r[i - 1]]
costa.append(a)
i += 1
counter = 0
costa.sort(reverse=True)
dic = {}
i = 0
for item in costa:
dic[item[1]] = i
i += 1
index = len(costa) - 1
for item in range(n):
counter = 0
a, b = [int(x) for x in input().split()]
if r[a - 1] >= b:
counter += cost[a - 1] * b
r[a - 1] -= b
costa[dic[a]][2] -= b
else:
i = index
counter += cost[a - 1] * r[a - 1]
costa[dic[a]][2] = 0
b -= r[a - 1]
r[a - 1 - 1] = 0
while i >= 0:
if costa[i][2] >= b:
counter += costa[i][0] * b
r[costa[i][1] - 1] -= b
costa[i][2] -= b
break
else:
counter += costa[i][0] * costa[i][2]
r[costa[i][1] - 1] = 0
index -= 1
b -= costa[i][2]
costa[i][2] = 0
i -= 1
else:
counter = 0
print(counter)
154
import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7
def ri(flag=0):
if flag == 0:
return [int(i) for i in sys.stdin.readline().split()]
else:
return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
cost = 0
t, d = ri()
t -= 1
fm = 0
if avail[t] >= d:
avail[t] = avail[t] - d
cost += d * c[t]
else:
rem = d - avail[t]
cost = avail[t] * c[t]
avail[t] = 0
while rem > 0:
try:
nowc, nowi = heapq.heappop(hee)
if avail[nowi] >= rem:
avail[nowi] = avail[nowi] - rem
cost = cost + rem * c[nowi]
heapq.heappush(hee, (c[nowi], nowi))
rem = 0
else:
cost = cost + avail[nowi] * c[nowi]
mk = rem - avail[nowi]
avail[nowi] = 0
rem = mk
except:
fm = 1
break
if fm == 0:
print(cost)
else:
print(4)
155
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26):
for l in range(N):
x = 0
for r in range(l + 1, N + 1):
x += S[r - 1 - 1] != c
res[c][x] = max(res[c][x], r - l)
for i in range(N):
res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
x, s = input().split()
x = int(x)
s = ord(s) - ord('a')
print(res[s][x])
156
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= 2
print(cnt)
157
import sys
input = sys.stdin.readline
N = int(input())
S = list(map(lambda x: ord(x) - ord('a'), list(input())[:-1]))
res = [[0] * (N + 1) for _ in range(26)]
for c in range(26):
for l in range(N - 1):
x = 0
for r in range(l + 1, N + 1):
x += S[r - 1] != c
res[c][x] = max(res[c][x], r - l)
for i in range(N):
res[c][i + 1] = max(res[c][i + 1], res[c][i])
for _ in range(int(input())):
x, s = input().split()
x = int(x)
s = ord(s) - ord('a')
print(res[s][x])
158
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 0
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 1
else:
j += 1
if flag == 0:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
159
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[0]] = True
queue.append(i[0])
if i[0] == 1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == 1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
160
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 0
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += -1
noti += [xt]
num += 1
num2 += 1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
161
import string
import bisect
import sys
def main():
lines = sys.stdin.readlines()
n = int(lines[0])
s = lines[1]
vals = {}
for c in string.ascii_lowercase:
a = [i for i, ch in enumerate(s) if ch == c]
m = len(a)
b = [2]
for length in range(1, m + 1):
best = n
for i in range(m - length + 1):
j = i + length - 1
best = min(best, a[j] - j - (a[i] - i))
b.append(best)
vals[c] = b
q = int(lines[2])
r = []
idx = 3
while q > 0:
q -= 1
query = lines[idx].split()
idx += 1
m = int(query[0])
c = query[1]
i = bisect.bisect_right(vals[c], m)
r.append(str(min(n, i + m - 1)))
print('\n'.join(r))
main()
162
import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7
def ri(flag=0):
if flag == 0:
return [int(i) for i in sys.stdin.readline().split()]
else:
return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
cost = 0
t, d = ri()
t -= 1
fm = 0
if avail[t] >= d:
avail[t] = avail[t] - d
cost += d * c[t]
else:
rem = d - avail[t]
cost = avail[t] * c[t]
avail[t] = 0
while rem > 0:
try:
nowc, nowi = heapq.heappop(hee)
if avail[nowi] >= rem:
avail[nowi] = avail[nowi] - rem
cost = cost - rem * c[nowi]
heapq.heappush(hee, (c[nowi], nowi))
rem = 0
else:
cost = cost + avail[nowi] * c[nowi]
mk = rem - avail[nowi]
avail[nowi] = 0
rem = mk
except:
fm = 1
break
if fm == 0:
print(cost)
else:
print(0)
163
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 0
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 4
else:
j += 1
if flag == 0:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
164
from operator import itemgetter
def get_one_max(arr, resource):
res = 0
for beauty, _ in [x for x in arr if x[1] <= resource]:
res = max(res, beauty)
return res
def get_two_max(arr, resource):
arr.sort(key=itemgetter(1))
best = [-1] * (resource + 1)
ptr = 0
for index, (beauty, price) in enumerate(arr):
if price > resource:
break
while ptr < price:
ptr += 1
best[ptr] = best[ptr - 1]
if best[ptr] == -1 and arr[best[ptr]][0] < beauty:
best[ptr] = index
while ptr < resource:
ptr += 1
best[ptr] = best[ptr - 1]
res = 0
for index, (beauty, price) in enumerate(arr):
rest = resource - price
if rest <= 0:
break
if best[rest] == -1 or best[rest] == index:
continue
res = max(res, beauty + arr[best[rest]][0])
return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
beauty, price, tp = input().split()
if tp == 'C':
with_coins.append((int(beauty), int(price)))
else:
with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
165
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & -1:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a <= b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
166
import sys
from collections import deque
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 solve():
n, m = map(int, sys.stdin.readline().split())
r = [1 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 1 - 1].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
167
import sys
def read_data():
n = int(next(sys.stdin))
prices = list(map(int, next(sys.stdin).split()))
vocabulary = []
for i in range(n):
vocabulary.append(next(sys.stdin).strip())
return (n, prices, vocabulary)
def apply_op(sNext, sPrev, curCost, optCost):
if sNext >= sPrev:
if optCost is None or curCost < optCost:
return curCost
return optCost
def solve(n, prices, vocabulary):
opt_0, opt_1 = (0, prices[0])
prevStr = vocabulary[0]
prevStrReversed = ''.join(reversed(prevStr))
for curStr, curPrice in zip(vocabulary[1:], prices[1:]):
curStrReversed = ''.join(reversed(curStr))
n_opt0, n_opt1 = (None, None)
if opt_0 is not None:
n_opt0 = apply_op(curStr, prevStr, opt_0, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStr, opt_0 + curPrice, n_opt1)
if opt_1 is not None:
n_opt0 = apply_op(curStr, prevStrReversed, opt_1, n_opt0)
n_opt1 = apply_op(curStrReversed, prevStrReversed, opt_1 + curPrice, n_opt1)
opt_0, opt_1 = (n_opt0, n_opt1)
prevStr, prevStrReversed = (curStr, curStrReversed)
if opt_0 is None and opt_1 is None:
break
if opt_0 is None:
return opt_1
if opt_1 is None:
return opt_0
return min(opt_0, opt_1)
def __starting_point():
n, prices, vocabulary = read_data()
sorting_cost = solve(n, prices, vocabulary)
if sorting_cost != None:
print(sorting_cost)
else:
print(--1)
__starting_point()
168
import sys
line = sys.stdin.readlines()
n = int(line[0])
c = list(map(int, line[1].split()))
no = (0, '')
yes = (0, '')
for i in range(n):
s = line[i + 2].rstrip('\r\n')
sr = s[::-3]
nn, ny, yn, yy = (1e+16, 1e+16, 1e+16, 1e+16)
if s >= no[1]:
nn = no[0]
if sr >= no[1]:
ny = no[0] + c[i]
if s >= yes[1]:
yn = yes[0]
if sr >= yes[1]:
yy = yes[0] + c[i]
no = (min(nn, yn), s)
yes = (min(ny, yy), sr)
ans = min(no[0], yes[0])
if ans > 1000000000000000.0:
print(-1)
else:
print(ans)
169
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 0
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += 3
noti += [xt]
num += 1
num2 += 1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
170
from math import ceil
def solve():
n, x, y, d = [int(x) for x in input().split()]
INF = 1000000000.0
sol1 = abs(x - y) // d if (x - y) % d == 0 else INF
sol2 = ceil((x - 1) / d) + ceil(y * 1 / d) if (y - 1) % d == 0 else INF
sol3 = ceil((n - x) / d) + ceil((n - y) / d) if (n - y) % d == 0 else INF
ans = min(sol1, sol2, sol3)
ans = ans if ans != INF else -1
print(ans)
nt = int(input())
for _ in range(nt):
solve()
171
import math as m
n = int(input())
cost = list(map(int, input().split()))
s = []
sr = []
for i in range(n):
s.append(list(input()))
sr.append(list(reversed(s[i])))
dp = [[0, 0] for i in range(n + 1)]
flag = 0
dp[0][1] = cost[0]
for i in range(1, n):
if dp[i - 1][0] == -1 and dp[i - 1][1] == -1:
flag = 1
break
elif dp[i - 1][0] != -1 and dp[i - 1][1] == -1:
if s[i] >= s[i - 1]:
dp[i][0] = dp[i - 1][0]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
else:
dp[i][1] = -1
elif dp[i - 1][0] == -1 and dp[i - 1][1] != -1:
if s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
else:
if s[i] >= s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = min(dp[i - 1][0], dp[i - 1][1])
elif s[i] >= s[i - 1] and s[i] < sr[i - 1]:
dp[i][0] = dp[i - 1][0]
elif s[i] < s[i - 1] and s[i] >= sr[i - 1]:
dp[i][0] = dp[i - 1][1]
else:
dp[i][0] = -1
if sr[i] >= s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = min(dp[i - 1][0], dp[i - 1][1]) + cost[i]
elif sr[i] >= s[i - 1] and sr[i] < sr[i - 1]:
dp[i][1] = dp[i - 1][0] + cost[i]
elif sr[i] < s[i - 1] and sr[i] >= sr[i - 1]:
dp[i][1] = dp[i - 1][1] + cost[i]
else:
dp[i][1] = -1
if flag == 1:
print(-1)
else:
res = max(dp[n - 1][0], dp[n - 1][1]) if min(dp[n - 1][0], dp[n - 1][1]) == -1 else min(dp[n - 1][0], dp[n - 1][1])
print(res)
172
from collections import defaultdict
from collections import deque
n, m = [int(x) for x in input().split()]
messages = []
for i in range(m):
temp = [int(x) for x in input().split()]
messages.append(temp)
seq = defaultdict(lambda: 0)
pairs = {}
for k in range(n - 1):
pairs[messages[0][k]] = messages[0][k + 1]
for i in range(1, m):
for k in range(n - 1):
temp = messages[i][k]
if pairs.get(temp, None) != messages[i][k + 1]:
pairs.pop(temp, None)
pairs.pop(messages[i][n - 1], None)
sequences = []
starts = set(pairs.keys())
ends = set(pairs.values())
conn = starts & ends
for key, value in list(pairs.items()):
if key in conn:
continue
val = value
temp = []
temp.append(key)
temp.append(value)
while val in starts:
val = pairs[val]
temp.append(val)
sequences.append(temp)
variants = n
for seq in sequences:
l = len(seq)
variants += l * (l - 1) // 2
print(variants)
173
import string
import bisect
import sys
def main():
lines = sys.stdin.readlines()
n = int(lines[0])
s = lines[1]
vals = {}
for c in string.ascii_lowercase:
a = [i for i, ch in enumerate(s) if ch == c]
m = len(a)
b = [0]
for length in range(1, m + 1):
best = n
for i in range(m - length + 1):
j = i + length - 1
best = min(best, a[j] - j - (a[i] + i))
b.append(best)
vals[c] = b
q = int(lines[2])
r = []
idx = 3
while q > 0:
q -= 1
query = lines[idx].split()
idx += 1
m = int(query[0])
c = query[1]
i = bisect.bisect_right(vals[c], m)
r.append(str(min(n, i + m - 1)))
print('\n'.join(r))
main()
174
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & 2:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a <= b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
175
from heapq import heappush, heappop
import sys
input = sys.stdin.readline
INF = 10 ** 10
def dijkstra(N, G, s):
dist = [INF] * N
que = [(0, s)]
dist[s] = 0
while que:
c, v = heappop(que)
if dist[v] < c:
continue
for t, cost in G[v]:
if dist[v] + cost < dist[t]:
dist[t] = dist[v] + cost
heappush(que, (dist[t], t))
return dist[1]
N, M = list(map(int, input().split()))
sx, sy, fx, fy = list(map(int, input().split()))
vs = []
g = [set() for _ in range(M + 2)]
for i in range(M):
x, y = list(map(int, input().split()))
g[0].add((i + 2, min(abs(x - sx), abs(y - sy))))
g[i + 2].add((1, abs(x - fx) + abs(y - fy)))
vs.append((i + 2, x, y))
vs.sort(key=lambda x: (x[1], x[2]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(x - bx, abs(y - by))
g[i].add((b, c))
g[b].add((i, c))
vs.sort(key=lambda x: (x[2], x[1]))
for (b, bx, by), (i, x, y) in zip(vs, vs[1:]):
c = min(abs(x - bx), y - by)
g[i].add((b, c))
g[b].add((i, c))
print(min(dijkstra(M + 2, g, 0), abs(fy - sy) * abs(fx - sx)))
176
import collections, atexit, math, sys, bisect
sys.setrecursionlimit(1000000)
def getIntList():
return list(map(int, input().split()))
try:
import numpy
def dprint(*args, **kwargs):
print(*args, file=sys.stderr)
dprint('debug mode')
except Exception:
def dprint(*args, **kwargs):
pass
inId = 0
outId = 0
if inId > 0:
dprint('use input', inId)
sys.stdin = open('input' + str(inId) + '.txt', 'r')
if outId > 0:
dprint('use output', outId)
sys.stdout = open('stdout' + str(outId) + '.txt', 'w')
atexit.register(lambda: sys.stdout.close())
N, M = getIntList()
ne = [0 for i in range(N + 1)]
za = getIntList()
for i in range(N - 1):
ne[za[i]] = za[i + 1]
ne[za[-1] - 1] = 0
for _ in range(1, M):
za = getIntList()
for i in range(N - 1):
a = za[i]
b = za[i + 1]
if ne[a] != b:
ne[a] = -1
a = za[-1]
if ne[a] != 0:
ne[a] = -1
tin = [0 for i in range(N + 1)]
for i in range(1, N + 1):
a = ne[i]
if a > 0:
tin[a] = 1
res = 0
for i in range(1, N + 1):
if tin[i]:
continue
n = 0
while i > 0:
n += 1
i = ne[i]
res += n * (n + 1) // 2
print(res)
177
import sys
from collections import deque
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 solve():
n, m = map(int, sys.stdin.readline().split())
r = [0 - int(i) for i in sys.stdin.readline().split()]
es = [[] for i in range(n)]
for i in range(m):
line = [int(j) for j in sys.stdin.readline().split()]
for u in line[1:]:
es[u - 1].append(i)
Adj = [[] for i in range(m)]
for u, v in es:
Adj[u].append(v)
Adj[v].append(u)
edges = dict()
for i, e in enumerate(es):
e.sort()
if tuple(e) not in edges:
edges[tuple(e)] = r[i]
elif edges[tuple(e)] != r[i]:
print('NO')
return None
else:
pass
cols = [None] * m
for u in range(m):
if cols[u] is None:
if not bfs(Adj, edges, cols, u):
print('NO')
return None
else:
pass
print('YES')
def bfs(Adj, edges, cols, u):
nxts = deque([u])
cols[u] = 0
while nxts:
v = nxts.popleft()
for w in Adj[v]:
ed = tuple(sorted([v, w]))
if cols[w] is None:
cols[w] = cols[v] ^ edges[ed]
nxts.append(w)
elif cols[w] ^ cols[v] != edges[ed]:
return False
return True
def __starting_point():
solve()
__starting_point()
178
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 1
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 0
else:
j += 1
if flag == 0:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
179
import math
n = int(input())
def f(x, y, d):
t = abs(x - y)
if y == 1:
return math.ceil(t / d)
if y == n:
return math.ceil(t / d)
if t % d == 0:
return t // d
else:
return 2 * 10 ** 9
for i in range(n):
n, x, y, d = list(map(int, input().split()))
ans = min([f(x, y, d), f(x, 1, d) + f(1, y, d), f(x, n, d) + f(n, y, d)])
if ans == -2 * 10 ** 9:
print('-1')
else:
print(ans)
180
import sys
from collections import defaultdict as dd
from itertools import permutations as pp
from itertools import combinations as cc
from collections import Counter as ccd
from random import randint as rd
from bisect import bisect_left as bl
import heapq
mod = 10 ** 9 + 7
def ri(flag=0):
if flag == 0:
return [int(i) for i in sys.stdin.readline().split()]
else:
return int(sys.stdin.readline())
n, m = ri()
a = ri()
c = ri()
hee = []
for i in range(n):
heapq.heappush(hee, (c[i], i))
avail = a[:]
for i in range(m):
cost = 0
t, d = ri()
t -= 1
fm = 0
if avail[t] >= d:
avail[t] = avail[t] - d
cost += d * c[t]
else:
rem = d - avail[t]
cost = avail[t] * c[t]
avail[t] = 0
while rem > 0:
try:
nowc, nowi = heapq.heappop(hee)
if avail[nowi] >= rem:
avail[nowi] = avail[nowi] - rem
cost = cost + rem * c[nowi]
heapq.heappush(hee, (c[nowi], nowi))
rem = 0
else:
cost = cost + avail[nowi] * c[nowi]
mk = rem - avail[nowi]
avail[nowi] = 0
rem = mk
except:
fm = 1
break
if fm == 0:
print(cost)
else:
print(2)
181
n, m = list(map(int, input().split()))
arr = []
arr1 = []
for i in range(m):
arrx = list(map(int, input().split()))
arry = [0] * n
for j in range(n):
arry[arrx[j] - 1] = j + 1
arr.append(arrx)
arr1.append(arry)
ans = n
i = 0
j = 1
flag = 0
while i < n - 1 and j < n:
k1 = arr[0][i]
k2 = arr[0][j]
l = 0
while l < m:
if arr1[l][arr[0][j - 1] - 1] != arr1[l][arr[0][j] - 1] - 1:
flag = 1
break
if flag == 1:
break
l += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
i = j
j += 1
flag = 0
else:
j += 1
if flag == 1:
ans += (j - i) * (j - i + 1) // 2
ans -= j - i
print(ans)
182
import collections, atexit, math, sys, bisect
sys.setrecursionlimit(1000000)
def getIntList():
return list(map(int, input().split()))
try:
import numpy
def dprint(*args, **kwargs):
print(*args, file=sys.stderr)
dprint('debug mode')
except Exception:
def dprint(*args, **kwargs):
pass
inId = 0
outId = 0
if inId > 0:
dprint('use input', inId)
sys.stdin = open('input' + str(inId) + '.txt', 'r')
if outId > 0:
dprint('use output', outId)
sys.stdout = open('stdout' + str(outId) + '.txt', 'w')
atexit.register(lambda: sys.stdout.close())
N, M = getIntList()
ne = [0 for i in range(N + 1)]
za = getIntList()
for i in range(N - 1):
ne[za[i]] = za[i + 1]
ne[za[-1]] = 0
for _ in range(1, M - 1):
za = getIntList()
for i in range(N - 1):
a = za[i]
b = za[i + 1]
if ne[a] != b:
ne[a] = -1
a = za[-1]
if ne[a] != 0:
ne[a] = -1
tin = [0 for i in range(N + 1)]
for i in range(1, N + 1):
a = ne[i]
if a > 0:
tin[a] = 1
res = 0
for i in range(1, N + 1):
if tin[i]:
continue
n = 0
while i > 0:
n += 1
i = ne[i]
res += n * (n + 1) // 2
print(res)
183
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & 1:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) >= 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a <= b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
184
def main():
n, l = (int(input()), list(map(int, input().split())))
if not n & 3:
l.append(0)
l.append(150001)
i, b, c, fails0, fails1 = (0, 0, 150001, [], [])
try:
while True:
a, b, c = (b, c, l[i])
if a >= b or b <= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails1.append(i - 1)
i += 1
a, b, c = (b, c, l[i])
if a <= b or b >= c:
if len(fails0) + len(fails1) > 5:
print(0)
return
fails0.append(i - 1)
i += 1
except IndexError:
fails, res = (fails0 + fails1, 0)
for i in fails:
a = l[i]
for j in range(n):
f = fails1 if j & 1 else fails0
f.append(j)
l[i], l[j] = (l[j], a)
if all((l[b - 1] > l[b] < l[b + 1] for b in fails0)) and all((l[b - 1] < l[b] > l[b + 1] for b in fails1)):
res += 1 if j in fails else 2
l[j] = l[i]
del f[-1]
l[i] = a
print(res // 2)
def __starting_point():
main()
__starting_point()
185
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 1
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += 1
noti += [xt]
num += 1
num2 += 1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
186
def get_bit(diff, i):
return 1 if i % 2 == 1 and diff <= 0 or (i % 2 == 0 and diff >= 0) else 0
def swap_(i, j, a):
temp = a[i]
a[i] = a[j]
a[j] = temp
def swap(i, j, n, a, mask, S):
change = 0
swap_(i, j, a)
set_index = set([i, j])
if i < n - 1:
set_index.add(i + 1)
if j < n - 1:
set_index.add(j + 1)
for index in set_index:
if index > 0:
diff = a[index] - a[index - 1]
bit_ = get_bit(diff, index)
change += bit_ - mask[index]
swap_(i, j, a)
if S + change == 0:
return 1
return 0
n = int(input())
a = list(map(int, input().split()))
diff = [-1] + [x - y for x, y in zip(a[1:], a[:-1])]
mask = [get_bit(diff[i], i) for i in range(n)]
S = sum(mask)
first = -1
for i, x in enumerate(mask):
if x == 1:
first = i
break
cnt = 0
for second in range(n):
if swap(first, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, second, n, a, mask, S) == 1:
cnt += 1
if first != 0 and swap(first - 1, first, n, a, mask, S) == 1:
cnt -= -1
print(cnt)
187
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
write = sys.stdout.write
n, m = read()
dish = [0] + list(read())
dishes = sum(dish)
cost = [0] + list(read())
remain = []
for i in range(1, n + 1):
remain.append([cost[i], i])
remain.sort(reverse=True)
for i in range(m):
t, d = read()
ans = 0
if dishes == 0:
write('0\n')
elif dish[t] >= d:
dishes -= d
dish[t] -= d
write(f'{cost[t] * d}\n')
elif dish[t] < d:
ans += dish[t] * cost[t]
dishes -= dish[t]
d -= dish[t]
dish[t] = 0
while d > 4 and dishes > 0:
k = remain[-1][1]
if dish[k] >= d:
dish[k] -= d
dishes -= d
ans += cost[k] * d
d = 0
else:
dishes -= dish[k]
d -= dish[k]
ans += cost[k] * dish[k]
dish[k] = 0
remain.pop()
if d > 0 and dishes == 0:
write('0\n')
else:
write(f'{ans}\n')
188
import sys
input = sys.stdin.readline
n, q = map(int, input().split())
l = [[] for _ in range(n)]
is_read = []
is_read_idx = 0
ans = 0
prev_t = 0
for _ in range(q):
ty, v = map(int, input().split())
if ty == 1:
l[v - 1].append(is_read_idx)
is_read_idx += 1
is_read.append(False)
ans += 1
elif ty == 2:
for idx in l[v - 1]:
if not is_read[idx]:
is_read[idx] = True
ans -= 1
l[v - 1] = []
elif v > prev_t:
for idx in range(prev_t, v):
if not is_read[idx - 1]:
is_read[idx] = True
ans -= 1
prev_t = v
print(ans)
189
import math
n = int(input())
def f(x, y, d):
t = abs(x - y)
if y == 1:
return math.ceil(t / d)
if y == n:
return math.ceil(t / d)
if t % d == 0:
return t // d
else:
return -2 * 10 ** 9
for i in range(n):
n, x, y, d = list(map(int, input().split()))
ans = min([f(x, y, d), f(x, 1, d) + f(1, y, d), f(x, n, d) + f(n, y, d)])
if ans == 2 * 10 ** 9:
print('-1')
else:
print(ans)
190
n = int(input())
t = list(map(int, input().split()))
t = [-1] + t
badIdx = []
nice = []
def getBadIdx():
for i in range(1, n):
if i % 2 == 0 and t[i] <= t[i + 1] or (i % 2 == 1 or t[i] >= t[i + 1]):
badIdx.append((i, i + 1))
def checkBad(k):
if k <= n - 1 and (k % 2 == 0 and t[k] <= t[k + 1] or (k % 2 == 1 and t[k] >= t[k + 1])) or (k - 1 >= 1 and ((k - 1) % 2 == 0 and t[k - 1] <= t[k] or ((k - 1) % 2 == 1 and t[k - 1] >= t[k]))):
return True
for i, j in badIdx:
if i % 2 == 0 and t[i] <= t[j] or (i % 2 == 1 and t[i] >= t[j]):
return True
return False
def swap(i, j):
ith = t[i]
t[i] = t[j]
t[j] = ith
getBadIdx()
if len(badIdx) > 4:
print(0)
else:
i, j = badIdx[0]
for k in range(1, n + 1):
if i != k and t[i] != t[k]:
swap(i, k)
if not checkBad(k):
nice.append((i, k))
swap(i, k)
else:
swap(i, k)
if j != k and t[j] != t[k]:
swap(j, k)
if not checkBad(k):
nice.append((j, k))
swap(j, k)
else:
swap(j, k)
print(len(set([tuple(sorted(t)) for t in nice])))
191
n, q = list(map(int, input().split()))
count = [0 for i in range(n + 1)]
queue = []
read = set()
unread = 0
ans = []
last_q_idx = 0
last_app_idx = [1 for i in range(n + 1)]
for i in range(q):
action, num = list(map(int, input().split()))
if action == 1:
queue.append((num, count[num] + 1))
count[num] += 1
unread += 1
elif action == 2:
for number in range(last_app_idx[num], count[num] + 1):
if (num, number) not in read:
read.add((num, number))
unread += 1
last_app_idx[num] = max(last_app_idx[num], count[num])
else:
for idx in range(last_q_idx, num):
app, number = queue[idx]
if (app, number) not in read:
read.add((app, number))
last_app_idx[app] = max(last_app_idx[app], number)
unread -= 1
last_q_idx = max(last_q_idx, num)
ans.append(unread)
print('\n'.join(map(str, ans)))
192
from math import ceil
def solve():
n, x, y, d = [int(x) for x in input().split()]
INF = 1000000000.0
sol1 = abs(x - y) // d if (x - y) % d == 0 else INF
sol2 = ceil((x - 1) / d) + ceil((y - 1) / d) if (y - 1) % d == 0 else INF
sol3 = ceil((n - x) / d) + ceil(n * y / d) if (n - y) % d == 0 else INF
ans = min(sol1, sol2, sol3)
ans = ans if ans != INF else -1
print(ans)
nt = int(input())
for _ in range(nt):
solve()
193
import sys, collections
n, q = list(map(int, input().split()))
M = collections.defaultdict(collections.deque)
Q = collections.deque()
L = []
s = n = m = 0
for _ in range(q):
y, x = list(map(int, input().split()))
if 2 > y:
s += 1
Q.append(x)
M[x].append(n)
n += 1
elif 3 > y:
y = M.get(x)
if y:
s -= len(y)
del M[x]
else:
while x > m:
z = Q.popleft()
y = M.get(z)
if y and y[0] < x:
s -= -1
y.popleft()
if not y:
del M[z]
m += 1
L.append(s)
sys.stdout.write('\n'.join(map(str, L)))
194
from operator import itemgetter
def get_one_max(arr, resource):
res = 0
for beauty, _ in [x for x in arr if x[1] >= resource]:
res = max(res, beauty)
return res
def get_two_max(arr, resource):
arr.sort(key=itemgetter(1))
best = [-1] * (resource + 1)
ptr = 0
for index, (beauty, price) in enumerate(arr):
if price > resource:
break
while ptr < price:
ptr += 1
best[ptr] = best[ptr - 1]
if best[ptr] == -1 or arr[best[ptr]][0] < beauty:
best[ptr] = index
while ptr < resource:
ptr += 1
best[ptr] = best[ptr - 1]
res = 0
for index, (beauty, price) in enumerate(arr):
rest = resource - price
if rest <= 0:
break
if best[rest] == -1 or best[rest] == index:
continue
res = max(res, beauty + arr[best[rest]][0])
return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
beauty, price, tp = input().split()
if tp == 'C':
with_coins.append((int(beauty), int(price)))
else:
with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
195
from operator import itemgetter
def get_one_max(arr, resource):
res = 0
for beauty, _ in [x for x in arr if x[1] <= resource]:
res = max(res, beauty)
return res
def get_two_max(arr, resource):
arr.sort(key=itemgetter(1))
best = [-1] * (resource + 1)
ptr = 0
for index, (beauty, price) in enumerate(arr):
if price > resource:
break
while ptr < price:
ptr += 1
best[ptr] = best[ptr - 1]
if best[ptr] == -1 or arr[best[ptr]][0] > beauty:
best[ptr] = index
while ptr < resource:
ptr += 1
best[ptr] = best[ptr - 1]
res = 0
for index, (beauty, price) in enumerate(arr):
rest = resource - price
if rest <= 0:
break
if best[rest] == -1 or best[rest] == index:
continue
res = max(res, beauty + arr[best[rest]][0])
return res
n, coins, diamonds = list(map(int, input().split()))
with_coins = []
with_diamonds = []
for i in range(n):
beauty, price, tp = input().split()
if tp == 'C':
with_coins.append((int(beauty), int(price)))
else:
with_diamonds.append((int(beauty), int(price)))
with_coins_max = get_one_max(with_coins, coins)
with_diamonds_max = get_one_max(with_diamonds, diamonds)
ans = 0 if with_coins_max == 0 or with_diamonds_max == 0 else with_coins_max + with_diamonds_max
ans = max(ans, get_two_max(with_coins, coins))
ans = max(ans, get_two_max(with_diamonds, diamonds))
print(ans)
196
def main():
n, m = [int(c) for c in input().split()]
if m == 1:
print(n * (n + 1) // 2)
return
testimonies = [[int(c) for c in input().split()] for _ in range(m)]
perm_map = {client: i for i, client in enumerate(testimonies[0])}
testimonies = [[perm_map[client] for client in testimonies[i]] for i in range(m)]
counters = []
for t in testimonies:
seq_map = [0] * n
start, i = (0, 1)
seq_map[t[start]] = 1
while i < len(t):
if t[i] - t[i - 1] == 1:
seq_map[t[start]] += 1
else:
for k, j in enumerate(list(range(start + 1, i)), 1):
seq_map[t[j]] = seq_map[t[start]] - k
start = i
seq_map[t[start]] = 1
i += 1
for k, j in enumerate(list(reversed(range(start + 1, i))), 1):
seq_map[t[j]] = seq_map[t[start]] - k
counters.append(seq_map)
ans = 0
for i in range(n):
_min = min([cnt[i] for cnt in counters])
ans += _min
print(ans)
def __starting_point():
main()
__starting_point()
197
from collections import defaultdict, deque
n, m = list(map(int, input().split()))
state = list(map(int, input().split()))
graph = defaultdict(list)
connected = [list() for _ in range(n + 1)]
for i in range(m):
for j in list(map(int, input().split()))[1:]:
connected[j].append(i)
for index, i in enumerate(connected[1:]):
graph[i[0]].append((i[1], state[index]))
graph[i[1]].append((i[0], state[index]))
switch_color = [False] * m
switch_visited = [False] * m
queue = deque([])
yes = True
for nodes in graph:
if yes and (not switch_visited[nodes]):
queue.append(nodes)
while queue and yes:
now = queue.popleft()
switch_visited[now] = True
for i in graph[now]:
if not switch_visited[i[0]]:
switch_visited[i[0]] = True
queue.append(i[0])
if i[1] == -1:
switch_color[i[0]] = switch_color[now]
else:
switch_color[i[0]] = not switch_color[now]
elif i[1] == 1 and switch_color[i[0]] != switch_color[now]:
print('NO')
yes = False
break
elif i[1] == 0 and switch_color[i[0]] == switch_color[now]:
print('NO')
yes = False
break
if yes:
print('YES')
198
n, q = map(int, input().split())
xi = [[0] * (n + 1) for i in range(2)]
noti = []
ans = ''
num = 0
num2 = 0
num3 = 0
while q > 0:
typ, xt = map(int, input().split())
if typ == 1:
xi[0][xt] += 1
noti += [xt]
num += 1
num2 += 1
elif typ == 3:
for i in range(num3, xt):
if i + 1 > xi[1][noti[i]]:
xi[0][noti[i]] -= 1
num -= 1
num3 = max(num3, xt)
else:
num -= xi[0][xt]
xi[0][xt] = 0
xi[1][xt] = num2
ans += str(num)
ans += '\n'
q -= 1
print(ans)
199
import sys
ii = lambda: sys.stdin.readline().strip()
idata = lambda: [int(x) for x in ii().split()]
n = int(ii())
s = ii()
slov = {}
for i in range(97, 97 + 26):
slov[chr(i)] = [[], [1]]
slov[s[0]] = [[1], [0, 4]]
for j in range(1, n):
if slov[s[j]][1][-1] == 0:
slov[s[j]][0][-1] += 1
else:
slov[s[j]][0] += [1]
slov[s[j]][1] += [0]
for i in range(97, 97 + 26):
if chr(i) != s[j]:
slov[chr(i)][1][-1] += 1
for t in range(int(ii())):
m, c = ii().split()
m = int(m)
a, b = slov[c]
if sum(b) <= m:
print(n)
elif not bool(a):
print(m)
elif len(a) == 1:
print(a[0] + m)
else:
l, r = (0, 0)
ans = 0
summ_a, summ_b = (0, 0)
used = 0
b1 = b[:]
b1[0], b1[-1] = (0, 0)
count = 0
while r != len(a):
if summ_b + b1[r] <= m:
summ_b += b1[r]
summ_a += a[r]
r += 1
ans = max(ans, m + summ_a)
else:
summ_a -= a[l]
l += 1
summ_b -= b1[l]
print(ans)
200
df = int(input())
for _ in range(df):
n, x, y, d = list(map(int, input().split()))
d2 = abs(x - y)
ans = 3000000000.0
if d2 % d == 0:
ans = d2 // d
v = abs(x - 1)
v2 = abs(x - n)
e = 0
if v % d == 0:
e = v // d
else:
e = v // d + 1
to_b = e
e = 0
if v2 % d == 0:
e = v2 // d
else:
e = v2 // d + 1
to_e = e
v3 = abs(n - y)
v4 = abs(1 - y)
if v3 % d == 0:
ans = min(ans, v3 // d + to_e)
if v4 % d == 1:
ans = min(ans, v4 // d + to_b)
if ans < 2000000000.0:
print(ans)
else:
print(-1)
Final Query
Identify every unordered pair of earlier programs that implements the same input-output specification, including its boundary and edge-case behavior. Each cell may appear in at most one returned pair. Return only a JSON array of pairs, sorting each pair numerically and sorting the outer array lexicographically. Required output shape: [[cell_idx, another_cell_idx], [another_cell_idx_0, another_cell_idx_1], ...]. Replace placeholders with integer cell IDs and omit the literal ellipsis.