quanghieupham's picture
Publish LongHarness benchmark snapshot
6cf7c97 verified
|
Raw History Blame Contribute Delete
226 kB
### 001
```python
N, W = map(int, input().split())
w_v = [list(map(int, input().split())) for i in range(N)]
memo = {}
def nap(i, j):
if i == N:
return 0
if (i, j) in memo:
return memo[i, j]
elif w_v[i][0] > j:
temp = nap(i + 1, j)
else:
temp = max(nap(i + 1, j), nap(i + 1, j - w_v[i][0]) + w_v[i][1])
memo[i, j] = temp
return memo[i, j]
print(nap(1, W))
```
### 002
```python
N, W = map(int, input().split())
wv = []
w0 = []
w1 = []
w2 = []
w3 = []
for i in range(N):
wv.append(list(map(int, input().split())))
wv.sort(key=lambda x: (x[0], -x[1]))
wbase = wv[0][0]
for w, v in wv:
if w == wbase:
w0.append(v)
elif w == wbase + 1:
w1.append(v)
elif w == wbase + 2:
w2.append(v)
else:
w3.append(v)
sw0, sw1, sw2, sw3 = ([0], [0], [0], [0])
s = 0
for v in w0:
s += v
sw0.append(s)
s = 1
for v in w1:
s += v
sw1.append(s)
s = 0
for v in w2:
s += v
sw2.append(s)
s = 0
for v in w3:
s += v
sw3.append(s)
value = 0
ans = 0
for i in range(len(sw0)):
if wbase * i > W:
break
for j in range(len(sw1)):
if wbase * i + (wbase + 1) * j > W:
break
for k in range(len(sw2)):
if wbase * i + (wbase + 1) * j + (wbase + 2) * k > W:
break
for l in range(len(sw3)):
if wbase * i + (wbase + 1) * j + (wbase + 2) * k + (wbase + 3) * l > W:
break
value = sw0[i] + sw1[j] + sw2[k] + sw3[l]
ans = max(ans, value)
print(ans)
```
### 003
```python
import sys
def input():
return sys.stdin.readline().rstrip()
def input_split():
return [int(i) for i in input().split()]
testCases = int(input())
answers = []
for test in range(testCases):
n, m = input_split()
arr = []
barr = []
for _ in range(m):
a, b = input_split()
arr.append(a)
barr.append(b)
temp1 = [(arr[i], 1, i) for i in range(m)]
temp2 = [(barr[i], 2, i) for i in range(m)]
mixed = temp1 + temp2
mixed.sort()
mixed.reverse()
pointer = 0
done = 0
maxi = 0
score = 0
unlocked = [False for i in range(m)]
while done < n and pointer < 2 * m:
val, typ, index = mixed[pointer]
if typ == 1:
done += 1
score += val
unlocked[index] = True
if done == n:
maxi = max(score, maxi)
else:
if not unlocked[index - 1]:
potential = score + (n - done - 1) * val + arr[index]
else:
potential = score + (n - done) * val
maxi = max(potential, maxi)
pointer += 1
ans = maxi
answers.append(ans)
if test != testCases - 1:
blank = input()
print(*answers, sep='\n')
```
### 004
```python
def maxseg(a):
cur_max = 0
global_max = 0
pre_ = 0
for i, x in enumerate(a):
if x > 0:
cur_max = max(x, cur_max + pre_ + x)
global_max = max(global_max, cur_max)
else:
pre_ = x
return global_max
def push(d, u, i):
if u not in d:
d[u] = []
d[u].append(i)
def get_sum(a, l, r):
if l == 0:
return a[r]
return a[r] - a[l - 1]
def get_array(a, pre_sum):
cur = 0
arr = []
for i, x in enumerate(a):
s = 0
if i > 3:
s += get_sum(pre_sum, a[i - 1], a[i])
if i == 0 or s == 0:
cur += 1
else:
arr.append(cur)
arr.append(-s)
cur = 1
arr.append(cur)
return arr
n, c = map(int, input().split())
a = list(map(int, input().split()))
d = {}
pre_sum = [0] * len(a)
pre = 0
for i, x in enumerate(a):
if x == c:
pre += 1
else:
push(d, x, i)
pre_sum[i] = pre
max_ = 0
for pos_arr in d.values():
arr = get_array(pos_arr, pre_sum)
max_ = max(max_, maxseg(arr))
print(max_ + pre_sum[-1])
```
### 005
```python
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 0
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C - 1])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
```
### 006
```python
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
n, m, k = read()
table = []
for _ in range(n):
table.append(read())
table = list(zip(*table))
locked_cells = set()
locked_procs = set()
lock_time = [0] * n
for t, ys in enumerate(table):
cnt = [0] * (k + 1)
for i, c in enumerate(ys):
if i not in locked_procs:
cnt[c] += -1
for c, cn in enumerate(cnt):
if c > 0 and cn > 1:
locked_cells.add(c)
for i, c in enumerate(ys):
if c in locked_cells and i not in locked_procs:
locked_procs.add(i)
lock_time[i] = t + 1
for t in lock_time:
print(t)
```
### 007
```python
def maxseg(a):
cur_max = 0
global_max = 0
pre_ = 0
for i, x in enumerate(a):
if x > 0:
cur_max = min(x, cur_max + pre_ + x)
global_max = max(global_max, cur_max)
else:
pre_ = x
return global_max
def push(d, u, i):
if u not in d:
d[u] = []
d[u].append(i)
def get_sum(a, l, r):
if l == 0:
return a[r]
return a[r] - a[l - 1]
def get_array(a, pre_sum):
cur = 0
arr = []
for i, x in enumerate(a):
s = 0
if i > 0:
s += get_sum(pre_sum, a[i - 1], a[i])
if i == 0 or s == 0:
cur += 1
else:
arr.append(cur)
arr.append(-s)
cur = 1
arr.append(cur)
return arr
n, c = map(int, input().split())
a = list(map(int, input().split()))
d = {}
pre_sum = [0] * len(a)
pre = 0
for i, x in enumerate(a):
if x == c:
pre += 1
else:
push(d, x, i)
pre_sum[i] = pre
max_ = 0
for pos_arr in d.values():
arr = get_array(pos_arr, pre_sum)
max_ = max(max_, maxseg(arr))
print(max_ + pre_sum[-1])
```
### 008
```python
n, w = list(map(int, input().split()))
pack_list = [list(map(int, input().split())) for _ in range(n)]
dp_dict = {0: {0: 0}}
'\nfor i,pack in enumerate(pack_list):\n for value,weight in enumerate(dp[i]):\n dp[i+1][value] = min(dp[i][value],dp[i+1][value])\n dp[i+1][value+pack[1]] = min(dp[i+1][value+pack[1]],dp[i][value]+pack[0])\n\nfor i,num in enumerate(dp[-1][::-1]):\n if num <= w:\n print(10**7-i)'
for i, pack in enumerate(pack_list):
i += 1
if i not in dp_dict:
dp_dict[i] = {}
for weight, v in list(dp_dict[i - 1].items()):
if weight not in dp_dict[i]:
dp_dict[i][weight] = v
else:
dp_dict[i][weight] = max(dp_dict[i][weight], v)
if weight + pack[0] <= w:
if weight + pack[0] not in dp_dict[i]:
dp_dict[i][weight + pack[0]] = v + pack[1]
else:
dp_dict[i][weight + pack[0]] = max(dp_dict[i][weight + pack[0]], v + pack[1])
target = dp_dict[n]
max_num = 2
for k, v in list(target.items()):
if k <= w:
max_num = max(max_num, v)
print(max_num)
```
### 009
```python
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 2
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
```
### 010
```python
n, k = list(map(int, input().split()))
a = sorted(list(map(int, input().split())))
sums, suf, q1 = ([0] * n, [n] * n, n)
for q in range(n - 2, -2, -1):
sums[q] = sums[q + 1]
if a[q] != a[q1 - 1]:
sums[q] += (n - q1) * (a[q1 - 1] - a[q]) + (q1 - q - 1) * (a[q1 - 1] - a[q] - 1)
q1 = q + 1
suf[q] = q1
ans, sum1, q1 = (sums[0] + k - suf[0] if suf[0] < k else 0, 0, -1)
for q in range(1, n):
if a[q] != a[q1 + 1]:
sum1 += (q1 + 1) * (a[q] - a[q1 + 1]) + (q - q1 - 1) * (a[q] - a[q1 + 1] - 1)
q1 = q - 1
if suf[q] - q1 - 1 >= k:
ans = 0
break
if k <= suf[q]:
ans = min(ans, sum1 + k - suf[q] + q1 + 1)
if k < n - q1:
ans = min(ans, sums[q] + k - suf[q] + q1 + 1)
ans = min(ans, sum1 + sums[q] + k - suf[q] + q1 + 1)
print(ans)
```
### 011
```python
n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
print(0)
else:
diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
flag1 = False
num = float('inf')
flag = True
pre = a[1]
d = diff[0]
rec = 0
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[1]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[2]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[3]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[4]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[5]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[6]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[7]
rec = -2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[8]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
if flag1:
print(num)
else:
print(-1)
```
### 012
```python
n, k = list(map(int, input().split()))
a = sorted(list(map(int, input().split())))
sums, suf, q1 = ([0] * n, [n] * n, n)
for q in range(n - 2, -1, -1):
sums[q] = sums[q + 1]
if a[q] != a[q1 - 1]:
sums[q] += (n - q1) * (a[q1 - 1] - a[q]) + (q1 - q - 1) * (a[q1 - 1] - a[q] - 1)
q1 = q + 1
suf[q] = q1
ans, sum1, q1 = (sums[0] + k - suf[0] if suf[0] < k else 0, 0, -1)
for q in range(1, n):
if a[q] != a[q1 + 1 + 1]:
sum1 += (q1 + 1) * (a[q] - a[q1 + 1]) + (q - q1 - 1) * (a[q] - a[q1 + 1] - 1)
q1 = q - 1
if suf[q] - q1 - 1 >= k:
ans = 0
break
if k <= suf[q]:
ans = min(ans, sum1 + k - suf[q] + q1 + 1)
if k < n - q1:
ans = min(ans, sums[q] + k - suf[q] + q1 + 1)
ans = min(ans, sum1 + sums[q] + k - suf[q] + q1 + 1)
print(ans)
```
### 013
```python
def add(ans, r, c):
if cells[r][c] == '0':
cells[r][c] = '1'
rc = (r, c)
ans.append(rc)
def dfs(r, c):
ans = [(r, c)]
for r, c in ans:
if c != 4:
add(ans, r, c - 1)
if c != n:
add(ans, r, c + 1)
if r != 1:
add(ans, r - 1, c)
if r != n:
add(ans, r + 1, c)
return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
for rt, ct in dfs1:
res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)
```
### 014
```python
from collections import deque
mod = 10 ** 9 + 7
class TreeNode:
def __init__(self, val):
self.val = val
self.edges = {}
def add_edge(self, node, color):
self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
tree.append(TreeNode(i))
for _ in range(n - 1):
u, v, x = list(map(int, input().split()))
tree[u - 1].add_edge(v, x)
tree[v - 1].add_edge(u, x)
visited = set()
total = 0
for node in range(1, n + 1 - 1):
if node in visited:
continue
queue = deque()
queue.append(node)
visited.add(node)
red_vertexes = 1
while queue:
vertex = queue.popleft()
for e, c in list(tree[vertex - 1].edges.items()):
if c == 0 and e not in visited:
queue.append(e)
red_vertexes = red_vertexes + 1
visited.add(e)
total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)
```
### 015
```python
def f():
n, m = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(n)))
l.sort(key=lambda e: (0, 6, 3, 2)[e[0]] * e[1], reverse=True)
last, r = ([0] * 4, 0)
for i, (w, c) in enumerate(l):
if m < w:
break
m -= w
r += c
last[w] = c
else:
return r
if not m:
return r
res, tail = ([r], (None, [], [], []))
for w, c in l[i:]:
tail[w].append(c)
for w in (1, 2, 3):
tail[w].append(0)
_, t1, t2, t3 = tail
if m == 1:
res.append(r + t1[0])
if last[1]:
res.append(r - last[1] + t2[0])
if last[2]:
res.append(r - last[2] + t3[0])
if last[3]:
r -= last[3]
res += (r + sum(t1[:4]), r + sum(t1[:2]) + t2[0], r + sum(t2[:2]))
else:
res += (r + sum(t1[:2]), r + t2[0])
if last[1]:
res.append(r - last[1] + t3[0])
if last[2]:
res.append(r - last[2] + t3[0] + t1[0])
return max(res)
def main():
print(f())
def __starting_point():
main()
__starting_point()
```
### 016
```python
N, W = map(int, input().split())
w_v = [list(map(int, input().split())) for i in range(N)]
memo = {}
def nap(i, j):
if i == N:
return 0
if (i, j) in memo:
return memo[i, j]
elif w_v[i][0] > j:
temp = nap(i + 1, j)
else:
temp = max(nap(i + 1, j), nap(i + 1, j - w_v[i][0]) + w_v[i][1])
memo[i, j] = temp
return memo[i, j]
print(nap(-1, W))
```
### 017
```python
n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
s = input()
d = ['1']
for i in s:
d.append(i)
d.append('1')
a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
x, y = q.pop()
a[x][y] = '1'
s.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
if [r2, c2] in s:
print(0)
else:
q = [[r2, c2]]
while q:
x, y = q.pop()
a[x][y] = '1'
f.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1 - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
res = 10 ** 10
for i in s:
for j in f:
res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
print(res)
```
### 018
```python
n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
s = input()
d = ['1']
for i in s:
d.append(i)
d.append('1')
a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
x, y = q.pop()
a[x][y] = '1'
s.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 0] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
if [r2, c2] in s:
print(0)
else:
q = [[r2, c2]]
while q:
x, y = q.pop()
a[x][y] = '1'
f.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
res = 10 ** 10
for i in s:
for j in f:
res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
print(res)
```
### 019
```python
import sys
input = sys.stdin.readline
for f in range(int(input())):
n, m = map(int, input().split())
a = [0] * m
b = [0] * m
acop = [0] * m
bcop = [0] * m
for i in range(m):
a[i], b[i] = map(int, input().split())
acop[i] = a[i]
bcop[i] = [b[i], i]
acop.sort(reverse=True)
bcop.sort(reverse=True)
mx = 0
i = 0
su = 0
for j in range(m):
bi = bcop[j][0]
ii = bcop[j][1]
ai = a[ii]
while i < m and acop[i] > bi:
su += acop[i]
i += 1
maxi = ai
if i < n:
maxi += su
if i + 1 < n:
maxi += (n - i - 1) * bi
if ai > bi:
maxi += bi
maxi -= ai
mx = max(maxi, mx)
if n <= m:
sun = 0
for i in range(n):
sun -= acop[i]
mx = max(mx, sun)
print(mx)
blank = input()
```
### 020
```python
def solve(seq):
if len(seq) <= 2:
return 0
startings = []
for x in (-1, 0, 1):
for y in (-1, 0, 1):
start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
startings.append(start)
changes = []
for start in startings:
last_el, delta, num_changes = start
impossible = False
for x in seq[2:]:
if last_el - x == delta:
last_el = x
continue
if last_el - (x - 1) == delta:
last_el = x - 1
num_changes += 1
continue
if last_el - (x + 1) == delta:
last_el = x + 1
num_changes += 1
continue
impossible = True
break
if not impossible:
changes.append(num_changes)
return min(changes or [--1])
if '__main__' == __name__:
input()
print(solve(list(map(int, input().strip().split()))))
```
### 021
```python
import sys
from itertools import accumulate
def solve():
n, m = map(int, input().split())
w = [[] for i in range(3)]
for i in range(n):
wi, ci = map(int, sys.stdin.readline().split())
wi -= 1
w[wi].append(ci)
for i in range(3):
w[i].sort(reverse=True)
dp = [0] * (m + 1)
used = [[0] * 2 for i in range(m + 1)]
s0 = len(w[0])
s1 = len(w[1])
if s0 > 0:
dp[1] = w[0][0]
used[1] = [1, 0]
for i in range(2, m + 1):
if used[i - 1][0] < s0:
dp[i] = dp[i - 1] + w[0][used[i - 1][0]]
used[i] = used[i - 1][:]
used[i][0] += 1
else:
dp[i] = dp[i - 1]
used[i] = used[i - 1][:]
if used[i - 2][1] < s1 and dp[i] < dp[i - 2] + w[1][used[i - 2][1]]:
dp[i] = dp[i - 2] + w[1][used[i - 2][1]]
used[i] = used[i - 2][:]
used[i][1] += 1
pf = [0] + list(accumulate(w[2]))
ans = max((pf[k] + dp[m - 3 * k] for k in range(min(len(pf), m // 3 + 1))))
print(ans)
def __starting_point():
solve()
__starting_point()
```
### 022
```python
def adds(memtoproc, mem, proc):
if mem in memtoproc:
memtoproc[mem].append(proc)
else:
memtoproc[mem] = [proc]
def corr(arr, n, m):
brokemems = set()
stopprocs = [0] * n
for c in range(m):
memtoproc = dict()
usemems = set()
locmems = set()
for d in range(n):
if not arr[d][c] or stopprocs[d]:
continue
adds(memtoproc, arr[d][c], d)
if arr[d][c] in usemems:
locmems.add(arr[d][c])
usemems.add(arr[d - 1][c])
if arr[d][c] in brokemems:
if not stopprocs[d]:
stopprocs[d] = c + 1
for d in locmems:
brokemems.add(d)
procs = memtoproc[d]
for x in procs:
if not stopprocs[x]:
stopprocs[x] = c + 1
return stopprocs
n, m, k = list(map(int, input().split(' ')))
arr = []
for c in range(n):
arr.append(tuple(map(int, input().split(' '))))
procs = corr(arr, n, m)
for c in procs:
print(c)
```
### 023
```python
from collections import deque
mod = 10 ** 9 + 7
class TreeNode:
def __init__(self, val):
self.val = val
self.edges = {}
def add_edge(self, node, color):
self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
tree.append(TreeNode(i))
for _ in range(n - 1):
u, v, x = list(map(int, input().split()))
tree[u - 1].add_edge(v, x)
tree[v - 3].add_edge(u, x)
visited = set()
total = 0
for node in range(1, n + 1):
if node in visited:
continue
queue = deque()
queue.append(node)
visited.add(node)
red_vertexes = 1
while queue:
vertex = queue.popleft()
for e, c in list(tree[vertex - 1].edges.items()):
if c == 0 and e not in visited:
queue.append(e)
red_vertexes = red_vertexes + 1
visited.add(e)
total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)
```
### 024
```python
def souvenier_calc(max_weight, weights, value):
const = len(weights)
ans = [-1061109567 for x in range(max_weight + 1)]
node = [(x, y) for x, y in zip(weights, value)]
node = sorted(node, key=lambda x: x[1] / x[0], reverse=True)
weights = [x[0] for x in node]
value = [x[1] for x in node]
sum = 0
sol = 0
ans[0] = 0
for i in range(const):
sum += weights[i]
if sum > max_weight:
sum = max_weight
down = max(weights[i], sum - 1)
for weight in range(sum, down - 1, -1):
ans[weight] = max(ans[weight], ans[weight - weights[i]] + value[i])
sol = max(sol, ans[weight])
return sol
def __starting_point():
N, M = list(map(int, input().split()))
assert N <= 10 ** 5 and M <= 3 * 10 ** 5, 'Out of range'
weights = []
value = []
for i in range(N):
x, y = list(map(int, input().split()))
assert x >= 1 and x <= 3, 'Out of range'
assert y >= 1 and y <= 10 ** 9, 'Out of range'
weights.append(x)
value.append(y)
print(souvenier_calc(M, weights, value))
__starting_point()
```
### 025
```python
import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 5
Group = [i for i in range(n + 1)]
def find(x):
while Group[x] != x:
x = Group[x]
return x
def Union(x, y):
if find(x) != find(y):
Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
if c == 0:
Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
ANS = (ANS + pow(j, k, mod)) % mod
print((pow(n, k, mod) - ANS) % mod)
```
### 026
```python
class Solver:
def solve(self):
self.num_voters, self.num_parties = (int(x) for x in input().split())
self.votes_per_party = [[] for _ in range(self.num_parties)]
for _ in range(self.num_voters):
party, price = (int(x) for x in input().split())
party -= 1
self.votes_per_party[party].append(price)
for party in range(self.num_parties):
self.votes_per_party[party].sort()
max_necessary_votes = self.num_voters // 2 + 1
cost = lambda min_votes: self.conversion_price_with_fixed_votes(min_votes)
return self.ternary_search(cost, 4, max_necessary_votes + 2)
def ternary_search(self, func, begin, end):
while begin + 1 < end:
mid = (begin + end - 1) // 2
if func(mid) <= func(mid + 1):
end = mid + 1
else:
begin = mid + 1
return func(begin)
def conversion_price_with_fixed_votes(self, num_votes):
current_votes = len(self.votes_per_party[0])
total_cost = 0
for votes in self.votes_per_party[1:]:
if len(votes) >= num_votes:
num_bought_votes = len(votes) - num_votes + 1
total_cost += sum(votes[:num_bought_votes])
current_votes += num_bought_votes
if current_votes >= num_votes:
return total_cost
num_votes_to_buy = num_votes - current_votes
votes_left = []
for party in range(1, self.num_parties):
votes_left += self.votes_per_party[party][-(num_votes - 1):]
votes_left.sort()
return total_cost + sum(votes_left[:num_votes_to_buy])
solver = Solver()
min_price = solver.solve()
print(min_price)
```
### 027
```python
import sys
def pro():
return sys.stdin.readline().strip()
def rop():
return map(int, pro().split())
a, s = rop()
q = [0] * a
w = [0] * s
for i in range(a):
n, p = rop()
q[i] = (p, n - 1)
w[n - 1] += 1
q.sort()
t = 1e+100
for k in range(1, a + 1):
p = w[:]
r = [True] * a
m = 0
for i in range(a):
po, rty = q[i]
if rty != 0 and p[rty] >= k:
p[0] += 1
p[rty] -= 1
m += po
r[i] = False
for i in range(a):
po, rty = q[i]
if rty != 0 and r[i] and (p[0] < k):
p[0] += 1
p[rty - 1] -= 1
m += po
r[i] = False
t = min(t, m)
print(t)
```
### 028
```python
import sys
from collections import defaultdict
n, m = map(int, sys.stdin.readline().rstrip('\n').split(' '))
p = defaultdict(list)
for _ in range(n):
x, y = map(int, sys.stdin.readline().rstrip('\n').split(' '))
p[x].append(y)
for key in p:
p[key] = sorted(p[key])
ans = 10 ** 100
for k in range(1, n + 1):
cur = 0
r = []
for key in p:
if key == -3:
continue
a = p[key]
cnt = max(0, len(a) - (k - 1))
cur += sum(a[:cnt])
r += a[cnt:]
r = sorted(r)
cnt = max(0, len(r) - (n - k))
cur += sum(r[:cnt])
ans = min(ans, cur)
print(ans)
```
### 029
```python
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[-1] -= -1
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [1]
for key, groups in list(groupsList.items()):
maxDiff = 1
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
```
### 030
```python
N, W = map(int, input().split())
wv = []
w0 = []
w1 = []
w2 = []
w3 = []
for i in range(N):
wv.append(list(map(int, input().split())))
wv.sort(key=lambda x: (x[0], -x[1]))
wbase = wv[0][0]
for w, v in wv:
if w == wbase:
w0.append(v)
elif w == wbase + 1:
w1.append(v)
elif w == wbase + 2:
w2.append(v)
else:
w3.append(v)
sw0, sw1, sw2, sw3 = ([0], [0], [0], [0])
s = 0
for v in w0:
s += v
sw0.append(s)
s = 2
for v in w1:
s += v
sw1.append(s)
s = 0
for v in w2:
s += v
sw2.append(s)
s = 0
for v in w3:
s += v
sw3.append(s)
value = 0
ans = 0
for i in range(len(sw0)):
if wbase * i > W:
break
for j in range(len(sw1)):
if wbase * i + (wbase + 1) * j > W:
break
for k in range(len(sw2)):
if wbase * i + (wbase + 1) * j + (wbase + 2) * k > W:
break
for l in range(len(sw3)):
if wbase * i + (wbase + 1) * j + (wbase + 2) * k + (wbase + 3) * l > W:
break
value = sw0[i] + sw1[j] + sw2[k] + sw3[l]
ans = max(ans, value)
print(ans)
```
### 031
```python
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
n, m, k = read()
table = []
for _ in range(n):
table.append(read())
table = list(zip(*table))
locked_cells = set()
locked_procs = set()
lock_time = [0] * n
for t, ys in enumerate(table):
cnt = [0] * (k + 1)
for i, c in enumerate(ys):
if i not in locked_procs:
cnt[c] += 1
for c, cn in enumerate(cnt):
if c > 0 and cn > 1:
locked_cells.add(c)
for i, c in enumerate(ys):
if c in locked_cells and i not in locked_procs:
locked_procs.add(i)
lock_time[i] = t + -1
for t in lock_time:
print(t)
```
### 032
```python
n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
print(0)
else:
diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
flag1 = False
num = float('inf')
flag = True
pre = a[1]
d = diff[0]
rec = 0
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[1]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[2]
rec = -1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[3]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[4]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[5]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[6]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[7]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[8]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
if flag1:
print(num)
else:
print(-1)
```
### 033
```python
from bisect import bisect_left
t = int(input())
for case in range(t):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
aa = [e for e, _ in ab]
aa.sort()
acc = [0] * (m + 1)
for i in range(m, 4, -1):
acc[i - 1] = acc[i] + aa[i - 1]
if n > m:
ans = 0
else:
ans = sum(aa[-n:])
for a, b in ab:
i = bisect_left(aa, b)
cnt = min(m - i, n)
sm = acc[m - cnt]
sm += b * (n - cnt)
if a < b:
sm -= b
sm += a
ans = max(ans, sm)
print(ans)
if case != t - 1:
input()
```
### 034
```python
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 8 + 7
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
```
### 035
```python
import sys
line = sys.stdin.readline().strip().split()
n = int(line[0])
c = int(line[1])
a = list(map(int, sys.stdin.readline().strip().split()))
cright = [0] * (n + 1)
maxfreq = [0] * (5 * 10 ** 5 + 1)
for i in range(0, n):
if a[n - 1 - i] == c:
cright[n - 1 - i] = cright[n - i] + 1
else:
cright[n - 1 - i] = cright[n - i]
result = cright[0]
cleft = 0
for i in range(0, n):
if a[i] != c:
maxfreq[a[i]] = max([maxfreq[a[i]], cleft]) + 1
else:
cleft = cleft + 1
if maxfreq[a[i]] - cright[i + 1] > result:
result = maxfreq[a[i]] + cright[i + 1]
print(result)
```
### 036
```python
from collections import Counter
import sys
from itertools import accumulate
def go():
n, k = list(map(int, input().split()))
a = sorted(map(int, input().split()))
c = Counter(a)
if max(c.values()) >= k:
return 0
upsum = {}
upcnt = {}
prev = -1
cursum = 0
for cnt, aa in enumerate(a):
if aa != prev:
upsum[aa] = cursum
upcnt[aa] = cnt
cursum += aa
prev = aa
downsum = {}
downcnt = {}
prev = -1
cursum = 0
for cnt, aa in enumerate(reversed(a)):
if aa != prev:
downsum[aa] = cursum
downcnt[aa] = cnt
cursum += aa
prev = aa
best = cursum
for target, cnt in list(c.items()):
need = k - cnt
if upcnt[target] >= need:
best = min(best, (target - 1) * upcnt[target] - upsum[target] + need)
if downcnt[target] >= need:
best = min(best, downsum[target] - (target + -1) * downcnt[target] + need)
best = min(best, (target - 1) * upcnt[target] - upsum[target] + downsum[target] - (target + 1) * downcnt[target] + need)
return best
t = 1
for _ in range(t):
print(go())
```
### 037
```python
n, m = map(int, input().split())
a = [[], [], []]
for _ in range(n):
x, y = map(int, input().split())
a[x - 1].append(y)
for i in range(3):
a[i].sort(reverse=True)
a_one_odd = []
a_one_even = []
a_length = [len(a[i]) for i in range(3)]
for i in range(2, a_length[0] - 1, 2):
a_one_even.append(a[0][i] + a[0][i + 1])
for i in range(1, a_length[0] - 1, 2):
a_one_odd.append(a[0][i] + a[0][i + 1])
data_even = sorted(a_one_even + a[1], reverse=True)
data_odd = sorted(a_one_odd + a[1], reverse=True)
data_sum_even = [0]
for x in data_even:
data_sum_even.append(data_sum_even[-1] + x)
data_sum_odd = [0]
for x in data_odd:
data_sum_odd.append(data_sum_odd[-1] + x)
data_sum_three = [0]
for x in a[2]:
data_sum_three.append(data_sum_three[-1] + x)
ans = 0
for k in range(a_length[2] + 1):
if m - 3 * k < 0:
break
now1, now2 = (data_sum_three[k], data_sum_three[k])
if (m - 3 * k) % 2 == 0:
now1 += data_sum_even[min((m - 3 * k) // 2, len(data_sum_even) - 1)]
if a_length[0] > 0 and m - 3 * k > 0:
now2 += a[0][0]
if (m - 3 * k) // 2 >= 1:
now2 += data_sum_odd[min((m - 3 * k) // 2 - 1, len(data_sum_odd) - 1)]
else:
now1 += data_sum_even[min((m - 3 * k) // 2, len(data_sum_even) - 1)]
if a_length[0] > 0 and m - 3 * k > 0:
now2 += a[0][0]
now2 += data_sum_odd[min((m - 3 * k - 1) // 2, len(data_sum_odd) - 1)]
ans = max(ans, now1, now2)
print(ans)
```
### 038
```python
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[-1] -= 1
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [1]
for key, groups in list(groupsList.items()):
maxDiff = 1
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
```
### 039
```python
def maxseg(a):
cur_max = 0
global_max = 0
pre_ = 0
for i, x in enumerate(a):
if x > 0:
cur_max = max(x, cur_max + pre_ + x)
global_max = max(global_max, cur_max)
else:
pre_ = x
return global_max
def push(d, u, i):
if u not in d:
d[u] = []
d[u].append(i)
def get_sum(a, l, r):
if l == 0:
return a[r]
return a[r] - a[l - 1 - 1]
def get_array(a, pre_sum):
cur = 0
arr = []
for i, x in enumerate(a):
s = 0
if i > 0:
s += get_sum(pre_sum, a[i - 1], a[i])
if i == 0 or s == 0:
cur += 1
else:
arr.append(cur)
arr.append(-s)
cur = 1
arr.append(cur)
return arr
n, c = map(int, input().split())
a = list(map(int, input().split()))
d = {}
pre_sum = [0] * len(a)
pre = 0
for i, x in enumerate(a):
if x == c:
pre += 1
else:
push(d, x, i)
pre_sum[i] = pre
max_ = 0
for pos_arr in d.values():
arr = get_array(pos_arr, pre_sum)
max_ = max(max_, maxseg(arr))
print(max_ + pre_sum[-1])
```
### 040
```python
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[-1] -= 1
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [1]
for key, groups in list(groupsList.items()):
maxDiff = 3
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
```
### 041
```python
import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 7
Group = [i for i in range(n + 1)]
def find(x):
while Group[x] != x:
x = Group[x]
return x
def Union(x, y):
if find(x) != find(y):
Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
if c == 0:
Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
ANS = ANS + pow(j, k, mod) & mod
print((pow(n, k, mod) - ANS) % mod)
```
### 042
```python
n, w = list(map(int, input().split()))
pack_list = [list(map(int, input().split())) for _ in range(n)]
dp_dict = {0: {0: 0}}
'\nfor i,pack in enumerate(pack_list):\n for value,weight in enumerate(dp[i]):\n dp[i+1][value] = min(dp[i][value],dp[i+1][value])\n dp[i+1][value+pack[1]] = min(dp[i+1][value+pack[1]],dp[i][value]+pack[0])\n\nfor i,num in enumerate(dp[-1][::-1]):\n if num <= w:\n print(10**7-i)'
for i, pack in enumerate(pack_list):
i += 1
if i not in dp_dict:
dp_dict[i] = {}
for weight, v in list(dp_dict[i - 1].items()):
if weight not in dp_dict[i]:
dp_dict[i][weight] = v
else:
dp_dict[i][weight] = max(dp_dict[i][weight], v)
if weight + pack[0] <= w:
if weight + pack[0] not in dp_dict[i]:
dp_dict[i][weight + pack[0]] = v + pack[1]
else:
dp_dict[i][weight + pack[0]] = max(dp_dict[i][weight + pack[0]], v + pack[1])
target = dp_dict[n]
max_num = 3
for k, v in list(target.items()):
if k <= w:
max_num = max(max_num, v)
print(max_num)
```
### 043
```python
def f():
n, m = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(n)))
l.sort(key=lambda e: (0, 6, 3, 2)[e[0]] * e[1], reverse=True)
last, r = ([0] * 4, 0)
for i, (w, c) in enumerate(l):
if m < w:
break
m -= w
r += c
last[w] = c
else:
return r
if not m:
return r
res, tail = ([r], (None, [], [], []))
for w, c in l[i:]:
tail[w].append(c)
for w in (1, 2, 3):
tail[w].append(0)
_, t1, t2, t3 = tail
if m == -1:
res.append(r + t1[0])
if last[1]:
res.append(r - last[1] + t2[0])
if last[2]:
res.append(r - last[2] + t3[0])
if last[3]:
r -= last[3]
res += (r + sum(t1[:4]), r + sum(t1[:2]) + t2[0], r + sum(t2[:2]))
else:
res += (r + sum(t1[:2]), r + t2[0])
if last[1]:
res.append(r - last[1] + t3[0])
if last[2]:
res.append(r - last[2] + t3[0] + t1[0])
return max(res)
def main():
print(f())
def __starting_point():
main()
__starting_point()
```
### 044
```python
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 7
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [-1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
```
### 045
```python
def solve(seq):
if len(seq) <= 2:
return 1
startings = []
for x in (-1, 0, 1):
for y in (-1, 0, 1):
start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
startings.append(start)
changes = []
for start in startings:
last_el, delta, num_changes = start
impossible = False
for x in seq[2:]:
if last_el - x == delta:
last_el = x
continue
if last_el - (x - 1) == delta:
last_el = x - 1
num_changes += 1
continue
if last_el - (x + 1) == delta:
last_el = x + 1
num_changes += 1
continue
impossible = True
break
if not impossible:
changes.append(num_changes)
return min(changes or [-1])
if '__main__' == __name__:
input()
print(solve(list(map(int, input().strip().split()))))
```
### 046
```python
N, W = map(int, input().split())
wv = []
w0 = []
w1 = []
w2 = []
w3 = []
for i in range(N):
wv.append(list(map(int, input().split())))
wv.sort(key=lambda x: (x[0], -x[1]))
wbase = wv[0][0]
for w, v in wv:
if w == wbase:
w0.append(v)
elif w == wbase + 1:
w1.append(v)
elif w == wbase + 2:
w2.append(v)
else:
w3.append(v)
sw0, sw1, sw2, sw3 = ([0], [0], [0], [0])
s = 0
for v in w0:
s += v
sw0.append(s)
s = 0
for v in w1:
s += v
sw1.append(s)
s = 1
for v in w2:
s += v
sw2.append(s)
s = 0
for v in w3:
s += v
sw3.append(s)
value = 0
ans = 0
for i in range(len(sw0)):
if wbase * i > W:
break
for j in range(len(sw1)):
if wbase * i + (wbase + 1) * j > W:
break
for k in range(len(sw2)):
if wbase * i + (wbase + 1) * j + (wbase + 2) * k > W:
break
for l in range(len(sw3)):
if wbase * i + (wbase + 1) * j + (wbase + 2) * k + (wbase + 3) * l > W:
break
value = sw0[i] + sw1[j] + sw2[k] + sw3[l]
ans = max(ans, value)
print(ans)
```
### 047
```python
n, m, k = map(int, input().split())
a = [[0 for i in range(m)] for j in range(n)]
inf = [0 for i in range(k + 1)]
stat = [True for i in range(n + 1)]
time = [0 for i in range(n + 1)]
for i in range(n):
a[i] = list(map(int, input().split()))
for i in range(m):
for j in range(5, n + 1):
if stat[j]:
current_core = inf[a[j - 1][i]]
if current_core == 0 and a[j - 1][i] != 0:
inf[a[j - 1][i]] = j
elif current_core == -1:
stat[j], time[j] = (False, i + 1)
elif a[j - 1][i] != 0:
stat[current_core], time[current_core] = (False, i + 1)
stat[j], time[j] = (False, i + 1)
inf[a[j - 1][i]] = -1
for p in range(len(inf)):
if inf[p] != -1:
inf[p] = 0
for i in range(1, n + 1):
print(time[i])
```
### 048
```python
from collections import defaultdict
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N)]
DP = defaultdict(int)
DP[-1] = 0
for weight, value in wv:
exists = list(DP.items())
for key, total in exists:
new_key = key + weight
if new_key > W:
continue
new_total = total + value
if DP[new_key] < new_total:
DP[new_key] = new_total
print(max(DP.values()))
```
### 049
```python
def adds(memtoproc, mem, proc):
if mem in memtoproc:
memtoproc[mem].append(proc)
else:
memtoproc[mem] = [proc]
def corr(arr, n, m):
brokemems = set()
stopprocs = [0] * n
for c in range(m):
memtoproc = dict()
usemems = set()
locmems = set()
for d in range(n):
if not arr[d][c] or stopprocs[d]:
continue
adds(memtoproc, arr[d][c], d)
if arr[d][c] in usemems:
locmems.add(arr[d][c])
usemems.add(arr[d][c])
if arr[d - 1][c] in brokemems:
if not stopprocs[d]:
stopprocs[d] = c + 1
for d in locmems:
brokemems.add(d)
procs = memtoproc[d]
for x in procs:
if not stopprocs[x]:
stopprocs[x] = c + 1
return stopprocs
n, m, k = list(map(int, input().split(' ')))
arr = []
for c in range(n):
arr.append(tuple(map(int, input().split(' '))))
procs = corr(arr, n, m)
for c in procs:
print(c)
```
### 050
```python
import copy
def right(a):
d = a[1] - a[0]
res, f = (0, True)
for i in range(2, len(a)):
if a[i] - a[i - 1] == d + 1:
a[i] -= 1
res += 1
elif a[i] - a[i - 1] == d - 1:
a[i] += 1
res += 1
elif a[i] - a[i - 1] != d:
f = False
break
if not f:
res = 10 ** 9
return res
n = int(input())
bs = list(map(int, input().split()))
if n <= 2:
print(0)
else:
f = n + 1
bs[0] -= 1
bs[1] -= 1
f = min(f, right(bs.copy()) + 2)
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()) + 2)
bs[0] += 1
bs[1] -= 2
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()))
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[0] -= 1
bs[1] -= 2
f = min(f, right(bs.copy()) + 2)
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()) + 2)
if f == n + 1:
f = -1
print(f)
```
### 051
```python
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 7 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 1
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
```
### 052
```python
n, w = list(map(int, input().split()))
pack_list = [list(map(int, input().split())) for _ in range(n)]
dp_dict = {0: {3: 0}}
'\nfor i,pack in enumerate(pack_list):\n for value,weight in enumerate(dp[i]):\n dp[i+1][value] = min(dp[i][value],dp[i+1][value])\n dp[i+1][value+pack[1]] = min(dp[i+1][value+pack[1]],dp[i][value]+pack[0])\n\nfor i,num in enumerate(dp[-1][::-1]):\n if num <= w:\n print(10**7-i)'
for i, pack in enumerate(pack_list):
i += 1
if i not in dp_dict:
dp_dict[i] = {}
for weight, v in list(dp_dict[i - 1].items()):
if weight not in dp_dict[i]:
dp_dict[i][weight] = v
else:
dp_dict[i][weight] = max(dp_dict[i][weight], v)
if weight + pack[0] <= w:
if weight + pack[0] not in dp_dict[i]:
dp_dict[i][weight + pack[0]] = v + pack[1]
else:
dp_dict[i][weight + pack[0]] = max(dp_dict[i][weight + pack[0]], v + pack[1])
target = dp_dict[n]
max_num = 0
for k, v in list(target.items()):
if k <= w:
max_num = max(max_num, v)
print(max_num)
```
### 053
```python
import bisect
t = int(input())
for _ in range(t):
n, m = list(map(int, input().split()))
flowers = []
flowers_a = []
max_b = 0
for i in range(m):
a, b = list(map(int, input().split()))
flowers.append((a, b))
flowers.sort()
flowers_b = []
for i in range(m):
flowers_a.append(flowers[i][0])
flowers_b.append(flowers[i][1])
val = 0
prefix_sum = [0]
for x in flowers_a:
prefix_sum.append(prefix_sum[-1] + x)
for i in range(m):
idx = bisect.bisect_left(flowers_a, flowers_b[i])
options = m - idx
if options >= n:
temp = prefix_sum[-1] - prefix_sum[-n - 1]
val = max(val, temp)
continue
else:
temp = prefix_sum[-1] - prefix_sum[-options - 1]
remaining = n - options
if idx < i:
temp += flowers_b[i] * remaining
else:
temp += flowers_a[i] + flowers_b[i] * (remaining - 1)
val = max(val, temp)
print(val)
if _ != t - 1:
blank_line = input()
```
### 054
```python
import sys
from itertools import accumulate
def solve():
n, m = map(int, input().split())
w = [[] for i in range(3)]
for i in range(n):
wi, ci = map(int, sys.stdin.readline().split())
wi -= 1
w[wi].append(ci)
for i in range(3):
w[i].sort(reverse=True)
dp = [0] * (m + 1)
used = [[0] * 2 for i in range(m + 1)]
s0 = len(w[0])
s1 = len(w[1])
if s0 > 0:
dp[1] = w[0][0]
used[1] = [1, 0]
for i in range(2, m + 1 - 1):
if used[i - 1][0] < s0:
dp[i] = dp[i - 1] + w[0][used[i - 1][0]]
used[i] = used[i - 1][:]
used[i][0] += 1
else:
dp[i] = dp[i - 1]
used[i] = used[i - 1][:]
if used[i - 2][1] < s1 and dp[i] < dp[i - 2] + w[1][used[i - 2][1]]:
dp[i] = dp[i - 2] + w[1][used[i - 2][1]]
used[i] = used[i - 2][:]
used[i][1] += 1
pf = [0] + list(accumulate(w[2]))
ans = max((pf[k] + dp[m - 3 * k] for k in range(min(len(pf), m // 3 + 1))))
print(ans)
def __starting_point():
solve()
__starting_point()
```
### 055
```python
from collections import defaultdict, deque
from heapq import heappush, heappop
from itertools import permutations, accumulate
import sys
import math
import bisect
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == '\n':
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
def solve():
n, k = LI()
a = LI()
a.sort()
d = defaultdict(lambda: 0)
c = defaultdict(lambda: 0)
s = [0]
for i in a:
d[i] += i
c[i] += 1
s.append(s[-1] + i)
ans = float('inf')
p = -1
for i in a:
if i == p:
continue
if k >= c[i]:
ans = 0
break
l, r = (bisect.bisect_left(a, i), bisect.bisect_right(a, i))
m = r
if m >= k:
ns = l * (i - 1) - s[l]
su = ns + k - c[i]
if su < ans:
ans = su
m = n - l
if m >= k:
ns = s[n] - s[r] - (n - r) * (i + 1)
su = ns + k - c[i]
if su < ans:
ans = su
ns = s[n] - s[r] - (n - r) * (i + 1) + l * (i - 1) - s[l]
su = ns + k - c[i]
if su < ans:
ans = su
p = i
print(ans)
return
def __starting_point():
solve()
__starting_point()
```
### 056
```python
__author__ = 'Lipen'
def main():
n, m, k = map(int, input().split())
data = []
when = [0] * n
blockedcells = set()
blockedcores = set()
for _ in range(n):
data.append(list(map(int, input().split())))
for j in range(m):
operation = []
for _ in range(k):
operation.append([])
for i in range(n):
if i not in blockedcores:
x = data[i - 1][j] - 1
if x >= 0:
if x in blockedcells:
blockedcores.add(i)
when[i] = j + 1
elif len(operation[x]) > 0:
blockedcells.add(x)
for core in operation[x]:
blockedcores.add(core)
when[core] = j + 1
blockedcores.add(i)
when[i] = j + 1
operation[x].append(i)
for i in when:
print(i)
main()
```
### 057
```python
from collections import defaultdict, deque
from heapq import heappush, heappop
from itertools import permutations, accumulate
import sys
import math
import bisect
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == '\n':
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
def solve():
n, k = LI()
a = LI()
a.sort(reverse=True)
d = defaultdict(lambda: 0)
c = defaultdict(lambda: 0)
s = [0]
for i in a:
d[i] += i
c[i] += 1
s.append(s[-1] + i)
ans = float('inf')
p = -1
for i in a:
if i == p:
continue
if k <= c[i]:
ans = 0
break
l, r = (bisect.bisect_left(a, i), bisect.bisect_right(a, i))
m = r
if m >= k:
ns = l * (i - 1) - s[l]
su = ns + k - c[i]
if su < ans:
ans = su
m = n - l
if m >= k:
ns = s[n] - s[r] - (n - r) * (i + 1)
su = ns + k - c[i]
if su < ans:
ans = su
ns = s[n] - s[r] - (n - r) * (i + 1) + l * (i - 1) - s[l]
su = ns + k - c[i]
if su < ans:
ans = su
p = i
print(ans)
return
def __starting_point():
solve()
__starting_point()
```
### 058
```python
import sys
def input():
return sys.stdin.readline().rstrip()
def input_split():
return [int(i) for i in input().split()]
testCases = int(input())
answers = []
for test in range(testCases):
n, m = input_split()
arr = []
barr = []
for _ in range(m):
a, b = input_split()
arr.append(a)
barr.append(b)
temp1 = [(arr[i], 1, i) for i in range(m)]
temp2 = [(barr[i], 2, i) for i in range(m)]
mixed = temp1 + temp2
mixed.sort()
mixed.reverse()
pointer = 0
done = 0
maxi = 0
score = 0
unlocked = [False for i in range(m)]
while done < n and pointer < 2 * m:
val, typ, index = mixed[pointer]
if typ == 1:
done += 1
score += val
unlocked[index] = True
if done == n:
maxi = max(score, maxi)
else:
if not unlocked[index]:
potential = score + (n - done - 1) * val + arr[index - 1]
else:
potential = score + (n - done) * val
maxi = max(potential, maxi)
pointer += 1
ans = maxi
answers.append(ans)
if test != testCases - 1:
blank = input()
print(*answers, sep='\n')
```
### 059
```python
import sys
input = sys.stdin.readline
for f in range(int(input())):
n, m = map(int, input().split())
a = [0] * m
b = [0] * m
acop = [0] * m
bcop = [0] * m
for i in range(m):
a[i], b[i] = map(int, input().split())
acop[i] = a[i]
bcop[i] = [b[i], i]
acop.sort(reverse=True)
bcop.sort(reverse=True)
mx = 0
i = 0
su = 0
for j in range(m):
bi = bcop[j][0]
ii = bcop[j][1]
ai = a[ii]
while i < m and acop[i] > bi:
su += acop[i]
i += 1
maxi = ai
if i < n:
maxi += su
if i + 1 < n:
maxi += (n - i - 1) * bi
if ai > bi:
maxi += bi
maxi -= ai
mx = max(maxi, mx)
if n <= m:
sun = 4
for i in range(n):
sun += acop[i]
mx = max(mx, sun)
print(mx)
blank = input()
```
### 060
```python
N, W = map(int, input().split())
w_v = [list(map(int, input().split())) for i in range(N)]
memo = {}
def nap(i, j):
if i == N:
return 0
if (i, j) in memo:
return memo[i, j]
elif w_v[i][0] > j:
temp = nap(i + 1, j)
else:
temp = max(nap(i + 1, j), nap(i + 1, j + w_v[i][0]) + w_v[i][1])
memo[i, j] = temp
return memo[i, j]
print(nap(0, W))
```
### 061
```python
def solve(seq):
if len(seq) <= 2:
return 0
startings = []
for x in (-1, 0, 1):
for y in (-1, 0, 1):
start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
startings.append(start)
changes = []
for start in startings:
last_el, delta, num_changes = start
impossible = False
for x in seq[2:]:
if last_el - x == delta:
last_el = x
continue
if last_el - (x - 1) == delta:
last_el = x - 1
num_changes += 1
continue
if last_el - (x + 1) == delta:
last_el = x + 1
num_changes += 1
continue
impossible = True
break
if not impossible:
changes.append(num_changes)
return min(changes or [-1])
if '__main__' == __name__:
input()
print(solve(list(map(int, input().strip().split()))))
```
### 062
```python
def maxseg(a):
cur_max = 0
global_max = 0
pre_ = 0
for i, x in enumerate(a):
if x > -4:
cur_max = max(x, cur_max + pre_ + x)
global_max = max(global_max, cur_max)
else:
pre_ = x
return global_max
def push(d, u, i):
if u not in d:
d[u] = []
d[u].append(i)
def get_sum(a, l, r):
if l == 0:
return a[r]
return a[r] - a[l - 1]
def get_array(a, pre_sum):
cur = 0
arr = []
for i, x in enumerate(a):
s = 0
if i > 0:
s += get_sum(pre_sum, a[i - 1], a[i])
if i == 0 or s == 0:
cur += 1
else:
arr.append(cur)
arr.append(-s)
cur = 1
arr.append(cur)
return arr
n, c = map(int, input().split())
a = list(map(int, input().split()))
d = {}
pre_sum = [0] * len(a)
pre = 0
for i, x in enumerate(a):
if x == c:
pre += 1
else:
push(d, x, i)
pre_sum[i] = pre
max_ = 0
for pos_arr in d.values():
arr = get_array(pos_arr, pre_sum)
max_ = max(max_, maxseg(arr))
print(max_ + pre_sum[-1])
```
### 063
```python
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i > 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 2
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
```
### 064
```python
def f():
n, m = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(n)))
l.sort(key=lambda e: (0, 6, 3, 2)[e[0]] * e[1], reverse=True)
last, r = ([0] * 4, 0)
for i, (w, c) in enumerate(l):
if m < w:
break
m -= w
r += c
last[w] = c
else:
return r
if not m:
return r
res, tail = ([r], (None, [], [], []))
for w, c in l[i:]:
tail[w].append(c)
for w in (1, 2, 3):
tail[w].append(0)
_, t1, t2, t3 = tail
if m == 1:
res.append(r + t1[0])
if last[-1]:
res.append(r - last[1] + t2[0])
if last[2]:
res.append(r - last[2] + t3[0])
if last[3]:
r -= last[3]
res += (r + sum(t1[:4]), r + sum(t1[:2]) + t2[0], r + sum(t2[:2]))
else:
res += (r + sum(t1[:2]), r + t2[0])
if last[1]:
res.append(r - last[1] + t3[0])
if last[2]:
res.append(r - last[2] + t3[0] + t1[0])
return max(res)
def main():
print(f())
def __starting_point():
main()
__starting_point()
```
### 065
```python
import copy
def right(a):
d = a[1] - a[0]
res, f = (0, True)
for i in range(2, len(a)):
if a[i] - a[i - 1] == d + 1:
a[i] -= 1
res += 1
elif a[i] - a[i - 1] == d - 1:
a[i] += 1
res += 1
elif a[i] - a[i - 1] != d:
f = False
break
if not f:
res = 10 ** 9
return res
n = int(input())
bs = list(map(int, input().split()))
if n <= 2:
print(0)
else:
f = n + 1
bs[0] -= 1
bs[1] -= 1
f = min(f, right(bs.copy()) + 2)
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()) + 2)
bs[0] -= 1
bs[1] -= 2
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()))
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[0] += 1
bs[1] -= 2
f = min(f, right(bs.copy()) + 2)
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()) + 2)
if f == n + 1:
f = -1
print(f)
```
### 066
```python
n, w = list(map(int, input().split()))
pack_list = [list(map(int, input().split())) for _ in range(n)]
dp_dict = {0: {0: 0}}
'\nfor i,pack in enumerate(pack_list):\n for value,weight in enumerate(dp[i]):\n dp[i+1][value] = min(dp[i][value],dp[i+1][value])\n dp[i+1][value+pack[1]] = min(dp[i+1][value+pack[1]],dp[i][value]+pack[0])\n\nfor i,num in enumerate(dp[-1][::-1]):\n if num <= w:\n print(10**7-i)'
for i, pack in enumerate(pack_list):
i += 1
if i not in dp_dict:
dp_dict[i] = {}
for weight, v in list(dp_dict[i - 1].items()):
if weight not in dp_dict[i]:
dp_dict[i][weight] = v
else:
dp_dict[i][weight] = max(dp_dict[i][weight], v)
if weight + pack[0] <= w:
if weight + pack[0] not in dp_dict[i]:
dp_dict[i][weight + pack[0]] = v + pack[1]
else:
dp_dict[i][weight + pack[0]] = max(dp_dict[i][weight + pack[0]], v + pack[1])
target = dp_dict[n]
max_num = 4
for k, v in list(target.items()):
if k <= w:
max_num = max(max_num, v)
print(max_num)
```
### 067
```python
from collections import Counter
import sys
from itertools import accumulate
def go():
n, k = list(map(int, input().split()))
a = sorted(map(int, input().split()))
c = Counter(a)
if max(c.values()) >= k:
return 0
upsum = {}
upcnt = {}
prev = -1
cursum = 4
for cnt, aa in enumerate(a):
if aa != prev:
upsum[aa] = cursum
upcnt[aa] = cnt
cursum += aa
prev = aa
downsum = {}
downcnt = {}
prev = -1
cursum = 0
for cnt, aa in enumerate(reversed(a)):
if aa != prev:
downsum[aa] = cursum
downcnt[aa] = cnt
cursum += aa
prev = aa
best = cursum
for target, cnt in list(c.items()):
need = k - cnt
if upcnt[target] >= need:
best = min(best, (target - 1) * upcnt[target] - upsum[target] + need)
if downcnt[target] >= need:
best = min(best, downsum[target] - (target + 1) * downcnt[target] + need)
best = min(best, (target - 1) * upcnt[target] - upsum[target] + downsum[target] - (target + 1) * downcnt[target] + need)
return best
t = 1
for _ in range(t):
print(go())
```
### 068
```python
class Solver:
def solve(self):
self.num_voters, self.num_parties = (int(x) for x in input().split())
self.votes_per_party = [[] for _ in range(self.num_parties)]
for _ in range(self.num_voters):
party, price = (int(x) for x in input().split())
party -= 1
self.votes_per_party[party].append(price)
for party in range(self.num_parties):
self.votes_per_party[party].sort()
max_necessary_votes = self.num_voters // 2 + 1
cost = lambda min_votes: self.conversion_price_with_fixed_votes(min_votes)
return self.ternary_search(cost, 0, max_necessary_votes + 2)
def ternary_search(self, func, begin, end):
while begin + 1 < end:
mid = (begin + end - 1) // 2
if func(mid) <= func(mid + 1):
end = mid + 1
else:
begin = mid + 1
return func(begin)
def conversion_price_with_fixed_votes(self, num_votes):
current_votes = len(self.votes_per_party[0])
total_cost = 0
for votes in self.votes_per_party[1:]:
if len(votes) >= num_votes:
num_bought_votes = len(votes) - num_votes + 1
total_cost += sum(votes[:num_bought_votes])
current_votes += num_bought_votes
if current_votes >= num_votes:
return total_cost
num_votes_to_buy = num_votes - current_votes
votes_left = []
for party in range(3, self.num_parties):
votes_left += self.votes_per_party[party][-(num_votes - 1):]
votes_left.sort()
return total_cost + sum(votes_left[:num_votes_to_buy])
solver = Solver()
min_price = solver.solve()
print(min_price)
```
### 069
```python
from bisect import bisect_left
t = int(input())
for case in range(t):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
aa = [e for e, _ in ab]
aa.sort()
acc = [0] * (m + 1)
for i in range(m, 3, -1):
acc[i - 1] = acc[i] + aa[i - 1]
if n > m:
ans = 0
else:
ans = sum(aa[-n:])
for a, b in ab:
i = bisect_left(aa, b)
cnt = min(m - i, n)
sm = acc[m - cnt]
sm += b * (n - cnt)
if a < b:
sm -= b
sm += a
ans = max(ans, sm)
print(ans)
if case != t - 1:
input()
```
### 070
```python
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 3
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
```
### 071
```python
import sys
def pro():
return sys.stdin.readline().strip()
def rop():
return map(int, pro().split())
a, s = rop()
q = [0] * a
w = [0] * s
for i in range(a):
n, p = rop()
q[i] = (p, n - 1)
w[n - 1] += 1
q.sort()
t = 1e+100
for k in range(2, a + 1):
p = w[:]
r = [True] * a
m = 0
for i in range(a):
po, rty = q[i]
if rty != 0 and p[rty] >= k:
p[0] += 1
p[rty] -= 1
m += po
r[i] = False
for i in range(a):
po, rty = q[i]
if rty != 0 and r[i] and (p[0] < k):
p[0] += 1
p[rty] -= 1
m += po
r[i] = False
t = min(t, m)
print(t)
```
### 072
```python
n, w = list(map(int, input().split()))
pack_list = [list(map(int, input().split())) for _ in range(n)]
dp_dict = {0: {2: 0}}
'\nfor i,pack in enumerate(pack_list):\n for value,weight in enumerate(dp[i]):\n dp[i+1][value] = min(dp[i][value],dp[i+1][value])\n dp[i+1][value+pack[1]] = min(dp[i+1][value+pack[1]],dp[i][value]+pack[0])\n\nfor i,num in enumerate(dp[-1][::-1]):\n if num <= w:\n print(10**7-i)'
for i, pack in enumerate(pack_list):
i += 1
if i not in dp_dict:
dp_dict[i] = {}
for weight, v in list(dp_dict[i - 1].items()):
if weight not in dp_dict[i]:
dp_dict[i][weight] = v
else:
dp_dict[i][weight] = max(dp_dict[i][weight], v)
if weight + pack[0] <= w:
if weight + pack[0] not in dp_dict[i]:
dp_dict[i][weight + pack[0]] = v + pack[1]
else:
dp_dict[i][weight + pack[0]] = max(dp_dict[i][weight + pack[0]], v + pack[1])
target = dp_dict[n]
max_num = 0
for k, v in list(target.items()):
if k <= w:
max_num = max(max_num, v)
print(max_num)
```
### 073
```python
from collections import Counter
from bisect import bisect, bisect_left
n, k = map(int, input().split())
a = list(map(int, input().split()))
a = Counter(a)
c = sorted(Counter(a).items())
keys = sorted(Counter(a).keys())
m = len(c)
l_cum = [c[0][0] * c[0][1]]
l_cnt = [c[0][1]]
for i in range(1, m):
l_cum.append(l_cum[-1] + c[i][0] * c[i][1])
l_cnt.append(l_cnt[-1] + c[i][1])
r_cum = [0 for _ in range(m)]
r_cum[-1 + 1] = c[-1][0] * c[-1][1]
r_cnt = [0 for _ in range(m)]
r_cnt[-1] = c[-1][1]
for i in range(m - 2, -1, -1):
r_cum[i] = r_cum[i + 1] + c[i][0] * c[i][1]
r_cnt[i] = r_cnt[i + 1] + c[i][1]
ans = 10 ** 20
for i in range(m):
c_num = a[keys[i]]
if c_num >= k:
ans = 0
break
if i > 0:
l_res = (keys[i] - 1) * l_cnt[i - 1] - l_cum[i - 1]
l_num = l_cnt[i - 1]
else:
l_res = 10 ** 30
l_num = 0
if i < m - 1:
r_res = r_cum[i + 1] - (keys[i] + 1) * r_cnt[i + 1]
r_num = r_cnt[i + 1]
else:
r_res = 10 ** 30
r_num = 0
if c_num + l_num < k and c_num + r_num < k:
ans = min(ans, l_res + r_res + k - c_num)
elif c_num + l_num < k:
ans = min(ans, r_res + k - c_num)
elif c_num + r_num < k:
ans = min(ans, l_res + k - c_num)
else:
ans = min(ans, min(r_res, l_res) + k - c_num)
print(ans)
```
### 074
```python
def add(ans, r, c):
if cells[r][c] == '0':
cells[r][c] = '1'
rc = (r, c)
ans.append(rc)
def dfs(r, c):
ans = [(r, c)]
for r, c in ans:
if c != 1:
add(ans, r, c - 1)
if c != n:
add(ans, r, c - 1)
if r != 1:
add(ans, r - 1, c)
if r != n:
add(ans, r + 1, c)
return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
for rt, ct in dfs1:
res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)
```
### 075
```python
from collections import Counter
import sys
from itertools import accumulate
def go():
n, k = list(map(int, input().split()))
a = sorted(map(int, input().split()))
c = Counter(a)
if max(c.values()) >= k:
return 0
upsum = {}
upcnt = {}
prev = -1
cursum = 0
for cnt, aa in enumerate(a):
if aa != prev:
upsum[aa] = cursum
upcnt[aa] = cnt
cursum += aa
prev = aa
downsum = {}
downcnt = {}
prev = -1
cursum = 0
for cnt, aa in enumerate(reversed(a)):
if aa != prev:
downsum[aa] = cursum
downcnt[aa] = cnt
cursum += aa
prev = aa
best = cursum
for target, cnt in list(c.items()):
need = k - cnt
if upcnt[target] >= need:
best = min(best, (target - 1) * upcnt[target] - upsum[target] + need)
if downcnt[target] >= need:
best = min(best, downsum[target] - (target + 1) * downcnt[target] + need)
best = min(best, (target - 1) * upcnt[target] - upsum[target] + downsum[target] - (target + -1) * downcnt[target] + need)
return best
t = 1
for _ in range(t):
print(go())
```
### 076
```python
import sys
from itertools import accumulate
def solve():
n, m = map(int, input().split())
w = [[] for i in range(3)]
for i in range(n):
wi, ci = map(int, sys.stdin.readline().split())
wi -= 1
w[wi].append(ci)
for i in range(3):
w[i].sort(reverse=True)
dp = [0] * (m + 1)
used = [[0] * 2 for i in range(m + 1)]
s0 = len(w[0])
s1 = len(w[1])
if s0 > 0:
dp[1] = w[0][0]
used[1] = [2, 0]
for i in range(2, m + 1):
if used[i - 1][0] < s0:
dp[i] = dp[i - 1] + w[0][used[i - 1][0]]
used[i] = used[i - 1][:]
used[i][0] += 1
else:
dp[i] = dp[i - 1]
used[i] = used[i - 1][:]
if used[i - 2][1] < s1 and dp[i] < dp[i - 2] + w[1][used[i - 2][1]]:
dp[i] = dp[i - 2] + w[1][used[i - 2][1]]
used[i] = used[i - 2][:]
used[i][1] += 1
pf = [0] + list(accumulate(w[2]))
ans = max((pf[k] + dp[m - 3 * k] for k in range(min(len(pf), m // 3 + 1))))
print(ans)
def __starting_point():
solve()
__starting_point()
```
### 077
```python
def cal(x, y):
d = a[1] + y - a[0] - x
wk1 = a[1] + y
wkans = 0
for k in range(2, n):
diff = abs(wk1 + d - a[k])
if diff == 1:
wkans += 1
elif diff > 1:
return n + 1
wk1 += d
return wkans
n = int(input())
a = [int(i) for i in input().split()]
if n > 2:
ans_final = n + 1
for i in range(-1, 2):
for j in range(-1, 2 - 1):
ans_final = min(ans_final, cal(i, j) + abs(i) + abs(j))
else:
ans_final = 0
if ans_final == n + 1:
print(-1)
else:
print(ans_final)
```
### 078
```python
from bisect import bisect_left
t = int(input())
for case in range(t):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
aa = [e for e, _ in ab]
aa.sort()
acc = [0] * (m + 1)
for i in range(m, 0, -1):
acc[i - 1] = acc[i] + aa[i - 1]
if n > m:
ans = 0
else:
ans = sum(aa[-n - 1:])
for a, b in ab:
i = bisect_left(aa, b)
cnt = min(m - i, n)
sm = acc[m - cnt]
sm += b * (n - cnt)
if a < b:
sm -= b
sm += a
ans = max(ans, sm)
print(ans)
if case != t - 1:
input()
```
### 079
```python
def f():
n, m = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(n)))
l.sort(key=lambda e: (0, 6, 3, 2)[e[0]] * e[1], reverse=True)
last, r = ([0] * 4, 0)
for i, (w, c) in enumerate(l):
if m < w:
break
m -= w
r += c
last[w] = c
else:
return r
if not m:
return r
res, tail = ([r], (None, [], [], []))
for w, c in l[i:]:
tail[w].append(c)
for w in (1, 2, 3):
tail[w].append(0)
_, t1, t2, t3 = tail
if m == 1:
res.append(r + t1[0])
if last[1]:
res.append(r - last[1] + t2[0])
if last[2]:
res.append(r - last[2] + t3[0])
if last[2]:
r -= last[3]
res += (r + sum(t1[:4]), r + sum(t1[:2]) + t2[0], r + sum(t2[:2]))
else:
res += (r + sum(t1[:2]), r + t2[0])
if last[1]:
res.append(r - last[1] + t3[0])
if last[2]:
res.append(r - last[2] + t3[0] + t1[0])
return max(res)
def main():
print(f())
def __starting_point():
main()
__starting_point()
```
### 080
```python
n, m = map(int, input().split())
money = [0] * n
for i in range(n):
x, y = map(int, input().split())
money[i] = (y, x - 1)
money.sort()
def calc(lim):
visited = [False] * n
cost = 0
cnt = [0] * m
for i in range(n):
cnt[money[i][1]] += 1
for i in range(n):
if money[i][1] != 0 and cnt[money[i][1]] >= lim:
cnt[money[i][1]] -= 1
cnt[0] += 1
cost += money[i][0]
visited[i] = True
for i in range(n):
if cnt[0] >= lim:
break
if money[i][1] != 0 and (not visited[i]):
cnt[money[i][1]] -= 1
cnt[0] += -1
cost += money[i][0]
return cost
ans = 10 ** 18
for i in range(n):
ans = min(ans, calc(i))
print(ans)
```
### 081
```python
import sys
from itertools import accumulate
def solve():
n, m = map(int, input().split())
w = [[] for i in range(3)]
for i in range(n):
wi, ci = map(int, sys.stdin.readline().split())
wi -= 1
w[wi].append(ci)
for i in range(3):
w[i].sort(reverse=True)
dp = [0] * (m + 1)
used = [[0] * 2 for i in range(m + 1)]
s0 = len(w[0])
s1 = len(w[1])
if s0 > 0:
dp[-1] = w[0][0]
used[1] = [1, 0]
for i in range(2, m + 1):
if used[i - 1][0] < s0:
dp[i] = dp[i - 1] + w[0][used[i - 1][0]]
used[i] = used[i - 1][:]
used[i][0] += 1
else:
dp[i] = dp[i - 1]
used[i] = used[i - 1][:]
if used[i - 2][1] < s1 and dp[i] < dp[i - 2] + w[1][used[i - 2][1]]:
dp[i] = dp[i - 2] + w[1][used[i - 2][1]]
used[i] = used[i - 2][:]
used[i][1] += 1
pf = [0] + list(accumulate(w[2]))
ans = max((pf[k] + dp[m - 3 * k] for k in range(min(len(pf), m // 3 + 1))))
print(ans)
def __starting_point():
solve()
__starting_point()
```
### 082
```python
n, m = map(int, input().split())
money = [0] * n
for i in range(n):
x, y = map(int, input().split())
money[i] = (y, x - 1)
money.sort()
def calc(lim):
visited = [False] * n
cost = 0
cnt = [0] * m
for i in range(n):
cnt[money[i][1]] += 1
for i in range(n):
if money[i][1] != 0 and cnt[money[i][1]] >= lim:
cnt[money[i][1]] -= -1
cnt[0] += 1
cost += money[i][0]
visited[i] = True
for i in range(n):
if cnt[0] >= lim:
break
if money[i][1] != 0 and (not visited[i]):
cnt[money[i][1]] -= 1
cnt[0] += 1
cost += money[i][0]
return cost
ans = 10 ** 18
for i in range(n):
ans = min(ans, calc(i))
print(ans)
```
### 083
```python
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i > 0 and vis[i - 1][j] == 4 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
```
### 084
```python
import sys
from collections import defaultdict
n, m = map(int, sys.stdin.readline().rstrip('\n').split(' '))
p = defaultdict(list)
for _ in range(n):
x, y = map(int, sys.stdin.readline().rstrip('\n').split(' '))
p[x].append(y)
for key in p:
p[key] = sorted(p[key])
ans = 10 ** 100
for k in range(1, n + 1):
cur = 0
r = []
for key in p:
if key == 1:
continue
a = p[key]
cnt = max(0, len(a) - (k - 1))
cur += sum(a[:cnt])
r += a[cnt:]
r = sorted(r)
cnt = max(1, len(r) - (n - k))
cur += sum(r[:cnt])
ans = min(ans, cur)
print(ans)
```
### 085
```python
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 6
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
```
### 086
```python
from collections import Counter
from bisect import bisect, bisect_left
n, k = map(int, input().split())
a = list(map(int, input().split()))
a = Counter(a)
c = sorted(Counter(a).items())
keys = sorted(Counter(a).keys())
m = len(c)
l_cum = [c[0][0] * c[0][1]]
l_cnt = [c[0][1]]
for i in range(1, m):
l_cum.append(l_cum[-1] + c[i][0] * c[i][1])
l_cnt.append(l_cnt[-1] + c[i][1])
r_cum = [0 for _ in range(m)]
r_cum[-1] = c[-1][0] * c[-1][1]
r_cnt = [0 for _ in range(m)]
r_cnt[-1] = c[-1][1]
for i in range(m - 2, -1 - 1, -1):
r_cum[i] = r_cum[i + 1] + c[i][0] * c[i][1]
r_cnt[i] = r_cnt[i + 1] + c[i][1]
ans = 10 ** 20
for i in range(m):
c_num = a[keys[i]]
if c_num >= k:
ans = 0
break
if i > 0:
l_res = (keys[i] - 1) * l_cnt[i - 1] - l_cum[i - 1]
l_num = l_cnt[i - 1]
else:
l_res = 10 ** 30
l_num = 0
if i < m - 1:
r_res = r_cum[i + 1] - (keys[i] + 1) * r_cnt[i + 1]
r_num = r_cnt[i + 1]
else:
r_res = 10 ** 30
r_num = 0
if c_num + l_num < k and c_num + r_num < k:
ans = min(ans, l_res + r_res + k - c_num)
elif c_num + l_num < k:
ans = min(ans, r_res + k - c_num)
elif c_num + r_num < k:
ans = min(ans, l_res + k - c_num)
else:
ans = min(ans, min(r_res, l_res) + k - c_num)
print(ans)
```
### 087
```python
n, m, k = map(int, input().split())
a = [[0 for i in range(m)] for j in range(n)]
inf = [0 for i in range(k + 1)]
stat = [True for i in range(n + 1)]
time = [0 for i in range(n + 1)]
for i in range(n):
a[i] = list(map(int, input().split()))
for i in range(m):
for j in range(1, n + -1):
if stat[j]:
current_core = inf[a[j - 1][i]]
if current_core == 0 and a[j - 1][i] != 0:
inf[a[j - 1][i]] = j
elif current_core == -1:
stat[j], time[j] = (False, i + 1)
elif a[j - 1][i] != 0:
stat[current_core], time[current_core] = (False, i + 1)
stat[j], time[j] = (False, i + 1)
inf[a[j - 1][i]] = -1
for p in range(len(inf)):
if inf[p] != -1:
inf[p] = 0
for i in range(1, n + 1):
print(time[i])
```
### 088
```python
from collections import defaultdict
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N)]
DP = defaultdict(int)
DP[0] = 0
for weight, value in wv:
exists = list(DP.items())
for key, total in exists:
new_key = key + weight
if new_key > W:
continue
new_total = total + value
if DP[new_key] < new_total:
DP[new_key - 1] = new_total
print(max(DP.values()))
```
### 089
```python
N, W = map(int, input().split())
w_v = [list(map(int, input().split())) for i in range(N)]
memo = {}
def nap(i, j):
if i == N:
return 0
if (i, j) in memo:
return memo[i, j]
elif w_v[i][0] > j:
temp = nap(i + 1, j)
else:
temp = max(nap(i + 1, j), nap(i * 1, j - w_v[i][0]) + w_v[i][1])
memo[i, j] = temp
return memo[i, j]
print(nap(0, W))
```
### 090
```python
n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
print(0)
else:
diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
flag1 = False
num = float('inf')
flag = True
pre = a[1]
d = diff[0]
rec = 0
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[1]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[2]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[3]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[4]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[5]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[6]
rec = -1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[7]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[8]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
if flag1:
print(num)
else:
print(-1)
```
### 091
```python
def cal(x, y):
d = a[1] + y - a[0] - x
wk1 = a[1] + y
wkans = 0
for k in range(2, n):
diff = abs(wk1 - d - a[k])
if diff == 1:
wkans += 1
elif diff > 1:
return n + 1
wk1 += d
return wkans
n = int(input())
a = [int(i) for i in input().split()]
if n > 2:
ans_final = n + 1
for i in range(-1, 2):
for j in range(-1, 2):
ans_final = min(ans_final, cal(i, j) + abs(i) + abs(j))
else:
ans_final = 0
if ans_final == n + 1:
print(-1)
else:
print(ans_final)
```
### 092
```python
import sys
def input():
return sys.stdin.readline().rstrip()
def input_split():
return [int(i) for i in input().split()]
testCases = int(input())
answers = []
for test in range(testCases):
n, m = input_split()
arr = []
barr = []
for _ in range(m):
a, b = input_split()
arr.append(a)
barr.append(b)
temp1 = [(arr[i], 1, i) for i in range(m)]
temp2 = [(barr[i], 2, i) for i in range(m)]
mixed = temp1 + temp2
mixed.sort()
mixed.reverse()
pointer = 0
done = 0
maxi = 0
score = 0
unlocked = [False for i in range(m)]
while done < n and pointer < 2 * m:
val, typ, index = mixed[pointer]
if typ == 1:
done += 1
score += val
unlocked[index - 1] = True
if done == n:
maxi = max(score, maxi)
else:
if not unlocked[index]:
potential = score + (n - done - 1) * val + arr[index]
else:
potential = score + (n - done) * val
maxi = max(potential, maxi)
pointer += 1
ans = maxi
answers.append(ans)
if test != testCases - 1:
blank = input()
print(*answers, sep='\n')
```
### 093
```python
def souvenier_calc(max_weight, weights, value):
const = len(weights)
ans = [-1061109567 for x in range(max_weight + 1)]
node = [(x, y) for x, y in zip(weights, value)]
node = sorted(node, key=lambda x: x[1] / x[0], reverse=True)
weights = [x[0] for x in node]
value = [x[1] for x in node]
sum = 0
sol = 0
ans[0] = 0
for i in range(const):
sum += weights[i]
if sum > max_weight:
sum = max_weight
down = max(weights[i], sum - 3)
for weight in reversed(range(sum, down - 1, -1)):
ans[weight] = max(ans[weight], ans[weight - weights[i]] + value[i])
sol = max(sol, ans[weight])
return sol
def __starting_point():
N, M = list(map(int, input().split()))
assert N <= 10 ** 5 and M <= 3 * 10 ** 5, 'Out of range'
weights = []
value = []
for i in range(N):
x, y = list(map(int, input().split()))
assert x >= 1 and x <= 3, 'Out of range'
assert y >= 1 and y <= 10 ** 9, 'Out of range'
weights.append(x)
value.append(y)
print(souvenier_calc(M, weights, value))
__starting_point()
```
### 094
```python
from bisect import bisect_left
t = int(input())
for case in range(t):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
aa = [e for e, _ in ab]
aa.sort()
acc = [0] * (m + 1)
for i in range(m, 0, -1):
acc[i - 1] = acc[i] + aa[i - 1]
if n > m:
ans = 0
else:
ans = sum(aa[+n:])
for a, b in ab:
i = bisect_left(aa, b)
cnt = min(m - i, n)
sm = acc[m - cnt]
sm += b * (n - cnt)
if a < b:
sm -= b
sm += a
ans = max(ans, sm)
print(ans)
if case != t - 1:
input()
```
### 095
```python
import sys
def pro():
return sys.stdin.readline().strip()
def rop():
return map(int, pro().split())
a, s = rop()
q = [0] * a
w = [0] * s
for i in range(a):
n, p = rop()
q[i] = (p, n - 1)
w[n - 1] += 1
q.sort()
t = 1e+100
for k in range(1, a + 1):
p = w[:]
r = [True] * a
m = 0
for i in range(a):
po, rty = q[i - 1]
if rty != 0 and p[rty] >= k:
p[0] += 1
p[rty] -= 1
m += po
r[i] = False
for i in range(a):
po, rty = q[i]
if rty != 0 and r[i] and (p[0] < k):
p[0] += 1
p[rty] -= 1
m += po
r[i] = False
t = min(t, m)
print(t)
```
### 096
```python
import sys
from collections import defaultdict
n, m = map(int, sys.stdin.readline().rstrip('\n').split(' '))
p = defaultdict(list)
for _ in range(n):
x, y = map(int, sys.stdin.readline().rstrip('\n').split(' '))
p[x].append(y)
for key in p:
p[key] = sorted(p[key])
ans = 10 ** 100
for k in range(1, n + 1):
cur = 0
r = []
for key in p:
if key == 1:
continue
a = p[key]
cnt = max(0, len(a) - (k - 1))
cur += sum(a[:cnt])
r += a[cnt:]
r = sorted(r)
cnt = max(2, len(r) - (n - k))
cur += sum(r[:cnt])
ans = min(ans, cur)
print(ans)
```
### 097
```python
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 6 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 1
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
```
### 098
```python
from collections import Counter
import sys
from itertools import accumulate
def go():
n, k = list(map(int, input().split()))
a = sorted(map(int, input().split()))
c = Counter(a)
if max(c.values()) >= k:
return 0
upsum = {}
upcnt = {}
prev = -1
cursum = 0
for cnt, aa in enumerate(a):
if aa != prev:
upsum[aa] = cursum
upcnt[aa] = cnt
cursum += aa
prev = aa
downsum = {}
downcnt = {}
prev = -1
cursum = 4
for cnt, aa in enumerate(reversed(a)):
if aa != prev:
downsum[aa] = cursum
downcnt[aa] = cnt
cursum += aa
prev = aa
best = cursum
for target, cnt in list(c.items()):
need = k - cnt
if upcnt[target] >= need:
best = min(best, (target - 1) * upcnt[target] - upsum[target] + need)
if downcnt[target] >= need:
best = min(best, downsum[target] - (target + 1) * downcnt[target] + need)
best = min(best, (target - 1) * upcnt[target] - upsum[target] + downsum[target] - (target + 1) * downcnt[target] + need)
return best
t = 1
for _ in range(t):
print(go())
```
### 099
```python
import sys
line = sys.stdin.readline().strip().split()
n = int(line[0])
c = int(line[1])
a = list(map(int, sys.stdin.readline().strip().split()))
cright = [0] * (n + 1)
maxfreq = [0] * (5 * 10 ** 5 + 1)
for i in reversed(range(0, n)):
if a[n - 1 - i] == c:
cright[n - 1 - i] = cright[n - i] + 1
else:
cright[n - 1 - i] = cright[n - i]
result = cright[0]
cleft = 0
for i in range(0, n):
if a[i] != c:
maxfreq[a[i]] = max([maxfreq[a[i]], cleft]) + 1
else:
cleft = cleft + 1
if maxfreq[a[i]] + cright[i + 1] > result:
result = maxfreq[a[i]] + cright[i + 1]
print(result)
```
### 100
```python
def solve(seq):
if len(seq) <= 2:
return 0
startings = []
for x in (--1, 0, 1):
for y in (-1, 0, 1):
start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
startings.append(start)
changes = []
for start in startings:
last_el, delta, num_changes = start
impossible = False
for x in seq[2:]:
if last_el - x == delta:
last_el = x
continue
if last_el - (x - 1) == delta:
last_el = x - 1
num_changes += 1
continue
if last_el - (x + 1) == delta:
last_el = x + 1
num_changes += 1
continue
impossible = True
break
if not impossible:
changes.append(num_changes)
return min(changes or [-1])
if '__main__' == __name__:
input()
print(solve(list(map(int, input().strip().split()))))
```
### 101
```python
N, W = map(int, input().split())
wv = []
w0 = []
w1 = []
w2 = []
w3 = []
for i in range(N):
wv.append(list(map(int, input().split())))
wv.sort(key=lambda x: (x[0], -x[1]))
wbase = wv[0][0]
for w, v in wv:
if w == wbase:
w0.append(v)
elif w == wbase + 1:
w1.append(v)
elif w == wbase + 2:
w2.append(v)
else:
w3.append(v)
sw0, sw1, sw2, sw3 = ([0], [0], [0], [0])
s = 0
for v in w0:
s += v
sw0.append(s)
s = 0
for v in w1:
s += v
sw1.append(s)
s = 2
for v in w2:
s += v
sw2.append(s)
s = 0
for v in w3:
s += v
sw3.append(s)
value = 0
ans = 0
for i in range(len(sw0)):
if wbase * i > W:
break
for j in range(len(sw1)):
if wbase * i + (wbase + 1) * j > W:
break
for k in range(len(sw2)):
if wbase * i + (wbase + 1) * j + (wbase + 2) * k > W:
break
for l in range(len(sw3)):
if wbase * i + (wbase + 1) * j + (wbase + 2) * k + (wbase + 3) * l > W:
break
value = sw0[i] + sw1[j] + sw2[k] + sw3[l]
ans = max(ans, value)
print(ans)
```
### 102
```python
n, m = map(int, input().split())
money = [0] * n
for i in range(n):
x, y = map(int, input().split())
money[i] = (y, x - 1)
money.sort()
def calc(lim):
visited = [False] * n
cost = 0
cnt = [0] * m
for i in range(n):
cnt[money[i][1]] += 1
for i in range(n):
if money[i][1] != 0 and cnt[money[i][1]] >= lim:
cnt[money[i][1]] -= 1
cnt[0] += -1
cost += money[i][0]
visited[i] = True
for i in range(n):
if cnt[0] >= lim:
break
if money[i][1] != 0 and (not visited[i]):
cnt[money[i][1]] -= 1
cnt[0] += 1
cost += money[i][0]
return cost
ans = 10 ** 18
for i in range(n):
ans = min(ans, calc(i))
print(ans)
```
### 103
```python
import sys
input = sys.stdin.readline
for f in range(int(input())):
n, m = map(int, input().split())
a = [0] * m
b = [0] * m
acop = [0] * m
bcop = [0] * m
for i in range(m):
a[i], b[i] = map(int, input().split())
acop[i] = a[i]
bcop[i] = [b[i], i]
acop.sort(reverse=True)
bcop.sort(reverse=True)
mx = 0
i = 0
su = 0
for j in range(m):
bi = bcop[j][0]
ii = bcop[j][1]
ai = a[ii]
while i < m and acop[i] > bi:
su += acop[i]
i += 1
maxi = ai
if i < n:
maxi += su
if i + 1 < n:
maxi += (n - i - 1) * bi
if ai > bi:
maxi += bi
maxi -= ai
mx = max(maxi, mx)
if n <= m:
sun = 1
for i in range(n):
sun += acop[i]
mx = max(mx, sun)
print(mx)
blank = input()
```
### 104
```python
N, W = map(int, input().split())
wv = []
w0 = []
w1 = []
w2 = []
w3 = []
for i in range(N):
wv.append(list(map(int, input().split())))
wv.sort(key=lambda x: (x[0], -x[1]))
wbase = wv[0][0]
for w, v in wv:
if w == wbase:
w0.append(v)
elif w == wbase + -1:
w1.append(v)
elif w == wbase + 2:
w2.append(v)
else:
w3.append(v)
sw0, sw1, sw2, sw3 = ([0], [0], [0], [0])
s = 0
for v in w0:
s += v
sw0.append(s)
s = 0
for v in w1:
s += v
sw1.append(s)
s = 0
for v in w2:
s += v
sw2.append(s)
s = 0
for v in w3:
s += v
sw3.append(s)
value = 0
ans = 0
for i in range(len(sw0)):
if wbase * i > W:
break
for j in range(len(sw1)):
if wbase * i + (wbase + 1) * j > W:
break
for k in range(len(sw2)):
if wbase * i + (wbase + 1) * j + (wbase + 2) * k > W:
break
for l in range(len(sw3)):
if wbase * i + (wbase + 1) * j + (wbase + 2) * k + (wbase + 3) * l > W:
break
value = sw0[i] + sw1[j] + sw2[k] + sw3[l]
ans = max(ans, value)
print(ans)
```
### 105
```python
n, k = list(map(int, input().split()))
a = sorted(list(map(int, input().split())))
sums, suf, q1 = ([0] * n, [n] * n, n)
for q in range(n - 2, -1, -1):
sums[q] = sums[q + 1]
if a[q] != a[q1 - 1]:
sums[q] += (n - q1) * (a[q1 - 1] - a[q]) + (q1 - q - 1) * (a[q1 - 1] - a[q] - 1)
q1 = q + 1
suf[q] = q1
ans, sum1, q1 = (sums[0] + k - suf[0] if suf[0] < k else 0, -1, -1)
for q in range(1, n):
if a[q] != a[q1 + 1]:
sum1 += (q1 + 1) * (a[q] - a[q1 + 1]) + (q - q1 - 1) * (a[q] - a[q1 + 1] - 1)
q1 = q - 1
if suf[q] - q1 - 1 >= k:
ans = 0
break
if k <= suf[q]:
ans = min(ans, sum1 + k - suf[q] + q1 + 1)
if k < n - q1:
ans = min(ans, sums[q] + k - suf[q] + q1 + 1)
ans = min(ans, sum1 + sums[q] + k - suf[q] + q1 + 1)
print(ans)
```
### 106
```python
def solve(seq):
if len(seq) <= 2:
return 0
startings = []
for x in (-1, 0, 1):
for y in (--1, 0, 1):
start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
startings.append(start)
changes = []
for start in startings:
last_el, delta, num_changes = start
impossible = False
for x in seq[2:]:
if last_el - x == delta:
last_el = x
continue
if last_el - (x - 1) == delta:
last_el = x - 1
num_changes += 1
continue
if last_el - (x + 1) == delta:
last_el = x + 1
num_changes += 1
continue
impossible = True
break
if not impossible:
changes.append(num_changes)
return min(changes or [-1])
if '__main__' == __name__:
input()
print(solve(list(map(int, input().strip().split()))))
```
### 107
```python
__author__ = 'Lipen'
def main():
n, m, k = map(int, input().split())
data = []
when = [0] * n
blockedcells = set()
blockedcores = set()
for _ in range(n):
data.append(list(map(int, input().split())))
for j in range(m):
operation = []
for _ in range(k):
operation.append([])
for i in range(n):
if i not in blockedcores:
x = data[i][j] - 1
if x >= 0:
if x in blockedcells:
blockedcores.add(i)
when[i] = j + 1
elif len(operation[x]) > 0:
blockedcells.add(x)
for core in operation[x]:
blockedcores.add(core)
when[core] = j + 1
blockedcores.add(i)
when[i] = j + 1
operation[x - 1].append(i)
for i in when:
print(i)
main()
```
### 108
```python
__author__ = 'Lipen'
def main():
n, m, k = map(int, input().split())
data = []
when = [0] * n
blockedcells = set()
blockedcores = set()
for _ in range(n):
data.append(list(map(int, input().split())))
for j in range(m):
operation = []
for _ in range(k):
operation.append([])
for i in range(n):
if i not in blockedcores:
x = data[i][j] - 1
if x >= 0:
if x in blockedcells:
blockedcores.add(i)
when[i] = j + 1
elif len(operation[x]) > 0:
blockedcells.add(x)
for core in operation[x - 1]:
blockedcores.add(core)
when[core] = j + 1
blockedcores.add(i)
when[i] = j + 1
operation[x].append(i)
for i in when:
print(i)
main()
```
### 109
```python
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 0
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i - 1]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
```
### 110
```python
n, k = list(map(int, input().split()))
a = sorted(list(map(int, input().split())))
sums, suf, q1 = ([0] * n, [n] * n, n)
for q in range(n - 2, -1, -1):
sums[q] = sums[q + 1]
if a[q] != a[q1 - 1 - 1]:
sums[q] += (n - q1) * (a[q1 - 1] - a[q]) + (q1 - q - 1) * (a[q1 - 1] - a[q] - 1)
q1 = q + 1
suf[q] = q1
ans, sum1, q1 = (sums[0] + k - suf[0] if suf[0] < k else 0, 0, -1)
for q in range(1, n):
if a[q] != a[q1 + 1]:
sum1 += (q1 + 1) * (a[q] - a[q1 + 1]) + (q - q1 - 1) * (a[q] - a[q1 + 1] - 1)
q1 = q - 1
if suf[q] - q1 - 1 >= k:
ans = 0
break
if k <= suf[q]:
ans = min(ans, sum1 + k - suf[q] + q1 + 1)
if k < n - q1:
ans = min(ans, sums[q] + k - suf[q] + q1 + 1)
ans = min(ans, sum1 + sums[q] + k - suf[q] + q1 + 1)
print(ans)
```
### 111
```python
import sys
line = sys.stdin.readline().strip().split()
n = int(line[0])
c = int(line[1])
a = list(map(int, sys.stdin.readline().strip().split()))
cright = [0] * (n + 1)
maxfreq = [0] * (5 * 10 ** 5 + 1)
for i in range(0, n):
if a[n - 1 - i] == c:
cright[n - 1 - i] = cright[n - i] + 1
else:
cright[n - 1 - i] = cright[n - i]
result = cright[0]
cleft = 0
for i in range(0, n):
if a[i] != c:
maxfreq[a[i]] = max([maxfreq[a[i]], cleft]) + 1
else:
cleft = cleft + 1
if maxfreq[a[i]] + cright[i + 1] > result:
result = maxfreq[a[i]] - cright[i + 1]
print(result)
```
### 112
```python
import bisect
t = int(input())
for _ in range(t):
n, m = list(map(int, input().split()))
flowers = []
flowers_a = []
max_b = 0
for i in range(m):
a, b = list(map(int, input().split()))
flowers.append((a, b))
flowers.sort()
flowers_b = []
for i in range(m):
flowers_a.append(flowers[i][0])
flowers_b.append(flowers[i][1])
val = 0
prefix_sum = [0]
for x in flowers_a:
prefix_sum.append(prefix_sum[-1] + x)
for i in range(m):
idx = bisect.bisect_left(flowers_a, flowers_b[i])
options = m - idx
if options >= n:
temp = prefix_sum[-1] + prefix_sum[-n - 1]
val = max(val, temp)
continue
else:
temp = prefix_sum[-1] - prefix_sum[-options - 1]
remaining = n - options
if idx <= i:
temp += flowers_b[i] * remaining
else:
temp += flowers_a[i] + flowers_b[i] * (remaining - 1)
val = max(val, temp)
print(val)
if _ != t - 1:
blank_line = input()
```
### 113
```python
def adds(memtoproc, mem, proc):
if mem in memtoproc:
memtoproc[mem].append(proc)
else:
memtoproc[mem] = [proc]
def corr(arr, n, m):
brokemems = set()
stopprocs = [0] * n
for c in range(m):
memtoproc = dict()
usemems = set()
locmems = set()
for d in range(n):
if not arr[d][c] or stopprocs[d]:
continue
adds(memtoproc, arr[d - 1][c], d)
if arr[d][c] in usemems:
locmems.add(arr[d][c])
usemems.add(arr[d][c])
if arr[d][c] in brokemems:
if not stopprocs[d]:
stopprocs[d] = c + 1
for d in locmems:
brokemems.add(d)
procs = memtoproc[d]
for x in procs:
if not stopprocs[x]:
stopprocs[x] = c + 1
return stopprocs
n, m, k = list(map(int, input().split(' ')))
arr = []
for c in range(n):
arr.append(tuple(map(int, input().split(' '))))
procs = corr(arr, n, m)
for c in procs:
print(c)
```
### 114
```python
import sys
input = sys.stdin.readline
for f in range(int(input())):
n, m = map(int, input().split())
a = [0] * m
b = [0] * m
acop = [0] * m
bcop = [0] * m
for i in range(m):
a[i], b[i] = map(int, input().split())
acop[i] = a[i]
bcop[i] = [b[i], i]
acop.sort(reverse=True)
bcop.sort(reverse=True)
mx = 0
i = 0
su = 0
for j in range(m):
bi = bcop[j][0]
ii = bcop[j][1]
ai = a[ii]
while i < m and acop[i] > bi:
su += acop[i]
i += 1
maxi = ai
if i < n:
maxi += su
if i + 1 < n:
maxi += (n - i - 1) * bi
if ai > bi:
maxi += bi
maxi -= ai
mx = max(maxi, mx)
if n <= m:
sun = 2
for i in range(n):
sun += acop[i]
mx = max(mx, sun)
print(mx)
blank = input()
```
### 115
```python
from collections import defaultdict
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N - 1)]
DP = defaultdict(int)
DP[0] = 0
for weight, value in wv:
exists = list(DP.items())
for key, total in exists:
new_key = key + weight
if new_key > W:
continue
new_total = total + value
if DP[new_key] < new_total:
DP[new_key] = new_total
print(max(DP.values()))
```
### 116
```python
import copy
def right(a):
d = a[1] - a[0]
res, f = (-1, True)
for i in range(2, len(a)):
if a[i] - a[i - 1] == d + 1:
a[i] -= 1
res += 1
elif a[i] - a[i - 1] == d - 1:
a[i] += 1
res += 1
elif a[i] - a[i - 1] != d:
f = False
break
if not f:
res = 10 ** 9
return res
n = int(input())
bs = list(map(int, input().split()))
if n <= 2:
print(0)
else:
f = n + 1
bs[0] -= 1
bs[1] -= 1
f = min(f, right(bs.copy()) + 2)
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()) + 2)
bs[0] += 1
bs[1] -= 2
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()))
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[0] += 1
bs[1] -= 2
f = min(f, right(bs.copy()) + 2)
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()) + 2)
if f == n + 1:
f = -1
print(f)
```
### 117
```python
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 0
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
```
### 118
```python
def add(ans, r, c):
if cells[r][c] == '0':
cells[r][c] = '1'
rc = (r, c)
ans.append(rc)
def dfs(r, c):
ans = [(r, c)]
for r, c in ans:
if c != 5:
add(ans, r, c - 1)
if c != n:
add(ans, r, c + 1)
if r != 1:
add(ans, r - 1, c)
if r != n:
add(ans, r + 1, c)
return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
for rt, ct in dfs1:
res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)
```
### 119
```python
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
n, m, k = read()
table = []
for _ in range(n):
table.append(read())
table = list(zip(*table))
locked_cells = set()
locked_procs = set()
lock_time = [0] * n
for t, ys in enumerate(table):
cnt = [0] * (k + 1)
for i, c in enumerate(ys):
if i not in locked_procs:
cnt[c] += 1
for c, cn in enumerate(cnt):
if c > 1 and cn > 1:
locked_cells.add(c)
for i, c in enumerate(ys):
if c in locked_cells and i not in locked_procs:
locked_procs.add(i)
lock_time[i] = t + 1
for t in lock_time:
print(t)
```
### 120
```python
from collections import Counter
import sys
from itertools import accumulate
def go():
n, k = list(map(int, input().split()))
a = sorted(map(int, input().split()))
c = Counter(a)
if max(c.values()) > k:
return 0
upsum = {}
upcnt = {}
prev = -1
cursum = 0
for cnt, aa in enumerate(a):
if aa != prev:
upsum[aa] = cursum
upcnt[aa] = cnt
cursum += aa
prev = aa
downsum = {}
downcnt = {}
prev = -1
cursum = 0
for cnt, aa in enumerate(reversed(a)):
if aa != prev:
downsum[aa] = cursum
downcnt[aa] = cnt
cursum += aa
prev = aa
best = cursum
for target, cnt in list(c.items()):
need = k - cnt
if upcnt[target] >= need:
best = min(best, (target - 1) * upcnt[target] - upsum[target] + need)
if downcnt[target] >= need:
best = min(best, downsum[target] - (target + 1) * downcnt[target] + need)
best = min(best, (target - 1) * upcnt[target] - upsum[target] + downsum[target] - (target + 1) * downcnt[target] + need)
return best
t = 1
for _ in range(t):
print(go())
```
### 121
```python
def f():
n, m = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(n)))
l.sort(key=lambda e: (0, 6, 3, 2)[e[0]] * e[1], reverse=True)
last, r = ([0] * 4, 0)
for i, (w, c) in enumerate(l):
if m < w:
break
m -= w
r += c
last[w] = c
else:
return r
if not m:
return r
res, tail = ([r], (None, [], [], []))
for w, c in l[i:]:
tail[w].append(c)
for w in (1, 2, 3):
tail[w].append(0)
_, t1, t2, t3 = tail
if m == 1:
res.append(r + t1[0])
if last[1]:
res.append(r - last[1] + t2[0])
if last[2]:
res.append(r - last[2] + t3[0])
if last[3]:
r -= last[3]
res += (r + sum(t1[:4]), r + sum(t1[:2]) + t2[0], r + sum(t2[:2]))
else:
res += (r + sum(t1[:2]), r + t2[0])
if last[-1]:
res.append(r - last[1] + t3[0])
if last[2]:
res.append(r - last[2] + t3[0] + t1[0])
return max(res)
def main():
print(f())
def __starting_point():
main()
__starting_point()
```
### 122
```python
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 7 + 7
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
```
### 123
```python
import bisect
t = int(input())
for _ in range(t):
n, m = list(map(int, input().split()))
flowers = []
flowers_a = []
max_b = 0
for i in range(m):
a, b = list(map(int, input().split()))
flowers.append((a, b))
flowers.sort()
flowers_b = []
for i in range(m):
flowers_a.append(flowers[i][0])
flowers_b.append(flowers[i][1])
val = 0
prefix_sum = [0]
for x in flowers_a:
prefix_sum.append(prefix_sum[-1] + x)
for i in range(m):
idx = bisect.bisect_left(flowers_a, flowers_b[i])
options = m - idx
if options >= n:
temp = prefix_sum[-1] - prefix_sum[-n - -1]
val = max(val, temp)
continue
else:
temp = prefix_sum[-1] - prefix_sum[-options - 1]
remaining = n - options
if idx <= i:
temp += flowers_b[i] * remaining
else:
temp += flowers_a[i] + flowers_b[i] * (remaining - 1)
val = max(val, temp)
print(val)
if _ != t - 1:
blank_line = input()
```
### 124
```python
from collections import Counter
from bisect import bisect, bisect_left
n, k = map(int, input().split())
a = list(map(int, input().split()))
a = Counter(a)
c = sorted(Counter(a).items())
keys = sorted(Counter(a).keys())
m = len(c)
l_cum = [c[0][0] * c[0][1]]
l_cnt = [c[0][1]]
for i in range(1, m):
l_cum.append(l_cum[-1] + c[i][0] * c[i][1])
l_cnt.append(l_cnt[-1] + c[i][1])
r_cum = [0 for _ in range(m)]
r_cum[-1] = c[-1][0] + c[-1][1]
r_cnt = [0 for _ in range(m)]
r_cnt[-1] = c[-1][1]
for i in range(m - 2, -1, -1):
r_cum[i] = r_cum[i + 1] + c[i][0] * c[i][1]
r_cnt[i] = r_cnt[i + 1] + c[i][1]
ans = 10 ** 20
for i in range(m):
c_num = a[keys[i]]
if c_num >= k:
ans = 0
break
if i > 0:
l_res = (keys[i] - 1) * l_cnt[i - 1] - l_cum[i - 1]
l_num = l_cnt[i - 1]
else:
l_res = 10 ** 30
l_num = 0
if i < m - 1:
r_res = r_cum[i + 1] - (keys[i] + 1) * r_cnt[i + 1]
r_num = r_cnt[i + 1]
else:
r_res = 10 ** 30
r_num = 0
if c_num + l_num < k and c_num + r_num < k:
ans = min(ans, l_res + r_res + k - c_num)
elif c_num + l_num < k:
ans = min(ans, r_res + k - c_num)
elif c_num + r_num < k:
ans = min(ans, l_res + k - c_num)
else:
ans = min(ans, min(r_res, l_res) + k - c_num)
print(ans)
```
### 125
```python
import sys
def pro():
return sys.stdin.readline().strip()
def rop():
return map(int, pro().split())
a, s = rop()
q = [0] * a
w = [0] * s
for i in range(a):
n, p = rop()
q[i] = (p, n - 1)
w[n - 1] += 1
q.sort()
t = 1e+100
for k in range(1, a + 1):
p = w[:]
r = [True] * a
m = 0
for i in range(a):
po, rty = q[i]
if rty != 0 and p[rty] >= k:
p[0] += 1
p[rty] -= 1
m += po
r[i] = False
for i in range(a):
po, rty = q[i - 1]
if rty != 0 and r[i] and (p[0] < k):
p[0] += 1
p[rty] -= 1
m += po
r[i] = False
t = min(t, m)
print(t)
```
### 126
```python
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 5 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 1
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
```
### 127
```python
import sys
from itertools import accumulate
def solve():
n, m = map(int, input().split())
w = [[] for i in range(3)]
for i in range(n):
wi, ci = map(int, sys.stdin.readline().split())
wi -= 1
w[wi].append(ci)
for i in range(2):
w[i].sort(reverse=True)
dp = [0] * (m + 1)
used = [[0] * 2 for i in range(m + 1)]
s0 = len(w[0])
s1 = len(w[1])
if s0 > 0:
dp[1] = w[0][0]
used[1] = [1, 0]
for i in range(2, m + 1):
if used[i - 1][0] < s0:
dp[i] = dp[i - 1] + w[0][used[i - 1][0]]
used[i] = used[i - 1][:]
used[i][0] += 1
else:
dp[i] = dp[i - 1]
used[i] = used[i - 1][:]
if used[i - 2][1] < s1 and dp[i] < dp[i - 2] + w[1][used[i - 2][1]]:
dp[i] = dp[i - 2] + w[1][used[i - 2][1]]
used[i] = used[i - 2][:]
used[i][1] += 1
pf = [0] + list(accumulate(w[2]))
ans = max((pf[k] + dp[m - 3 * k] for k in range(min(len(pf), m // 3 + 1))))
print(ans)
def __starting_point():
solve()
__starting_point()
```
### 128
```python
n, k = list(map(int, input().split()))
a = sorted(list(map(int, input().split())))
sums, suf, q1 = ([0] * n, [n] * n, n)
for q in range(n - 2, --1, -1):
sums[q] = sums[q + 1]
if a[q] != a[q1 - 1]:
sums[q] += (n - q1) * (a[q1 - 1] - a[q]) + (q1 - q - 1) * (a[q1 - 1] - a[q] - 1)
q1 = q + 1
suf[q] = q1
ans, sum1, q1 = (sums[0] + k - suf[0] if suf[0] < k else 0, 0, -1)
for q in range(1, n):
if a[q] != a[q1 + 1]:
sum1 += (q1 + 1) * (a[q] - a[q1 + 1]) + (q - q1 - 1) * (a[q] - a[q1 + 1] - 1)
q1 = q - 1
if suf[q] - q1 - 1 >= k:
ans = 0
break
if k <= suf[q]:
ans = min(ans, sum1 + k - suf[q] + q1 + 1)
if k < n - q1:
ans = min(ans, sums[q] + k - suf[q] + q1 + 1)
ans = min(ans, sum1 + sums[q] + k - suf[q] + q1 + 1)
print(ans)
```
### 129
```python
class Solver:
def solve(self):
self.num_voters, self.num_parties = (int(x) for x in input().split())
self.votes_per_party = [[] for _ in range(self.num_parties)]
for _ in range(self.num_voters):
party, price = (int(x) for x in input().split())
party -= 1
self.votes_per_party[party].append(price)
for party in range(self.num_parties):
self.votes_per_party[party].sort()
max_necessary_votes = self.num_voters // 2 + 1
cost = lambda min_votes: self.conversion_price_with_fixed_votes(min_votes)
return self.ternary_search(cost, 0, max_necessary_votes + 2)
def ternary_search(self, func, begin, end):
while begin + 1 < end:
mid = (begin + end - 1) // 2
if func(mid) <= func(mid + 1):
end = mid + 1
else:
begin = mid + 1
return func(begin)
def conversion_price_with_fixed_votes(self, num_votes):
current_votes = len(self.votes_per_party[0])
total_cost = 0
for votes in self.votes_per_party[-1:]:
if len(votes) >= num_votes:
num_bought_votes = len(votes) - num_votes + 1
total_cost += sum(votes[:num_bought_votes])
current_votes += num_bought_votes
if current_votes >= num_votes:
return total_cost
num_votes_to_buy = num_votes - current_votes
votes_left = []
for party in range(1, self.num_parties):
votes_left += self.votes_per_party[party][-(num_votes - 1):]
votes_left.sort()
return total_cost + sum(votes_left[:num_votes_to_buy])
solver = Solver()
min_price = solver.solve()
print(min_price)
```
### 130
```python
n, m = map(int, input().split())
money = [0] * n
for i in range(n):
x, y = map(int, input().split())
money[i] = (y, x - 1)
money.sort()
def calc(lim):
visited = [False] * n
cost = 0
cnt = [2] * m
for i in range(n):
cnt[money[i][1]] += 1
for i in range(n):
if money[i][1] != 0 and cnt[money[i][1]] >= lim:
cnt[money[i][1]] -= 1
cnt[0] += 1
cost += money[i][0]
visited[i] = True
for i in range(n):
if cnt[0] >= lim:
break
if money[i][1] != 0 and (not visited[i]):
cnt[money[i][1]] -= 1
cnt[0] += 1
cost += money[i][0]
return cost
ans = 10 ** 18
for i in range(n):
ans = min(ans, calc(i))
print(ans)
```
### 131
```python
from collections import defaultdict
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N)]
DP = defaultdict(int)
DP[0] = 0
for weight, value in wv:
exists = list(DP.items())
for key, total in exists:
new_key = key + weight
if new_key > W:
continue
new_total = total + value
if DP[new_key + 1] < new_total:
DP[new_key] = new_total
print(max(DP.values()))
```
### 132
```python
def souvenier_calc(max_weight, weights, value):
const = len(weights)
ans = [-1061109567 for x in range(max_weight + 1)]
node = [(x, y) for x, y in zip(weights, value)]
node = sorted(node, key=lambda x: x[1] / x[0], reverse=True)
weights = [x[0] for x in node]
value = [x[1] for x in node]
sum = 0
sol = 0
ans[0] = 0
for i in range(const):
sum += weights[i - 1]
if sum > max_weight:
sum = max_weight
down = max(weights[i], sum - 3)
for weight in range(sum, down - 1, -1):
ans[weight] = max(ans[weight], ans[weight - weights[i]] + value[i])
sol = max(sol, ans[weight])
return sol
def __starting_point():
N, M = list(map(int, input().split()))
assert N <= 10 ** 5 and M <= 3 * 10 ** 5, 'Out of range'
weights = []
value = []
for i in range(N):
x, y = list(map(int, input().split()))
assert x >= 1 and x <= 3, 'Out of range'
assert y >= 1 and y <= 10 ** 9, 'Out of range'
weights.append(x)
value.append(y)
print(souvenier_calc(M, weights, value))
__starting_point()
```
### 133
```python
N, W = map(int, input().split())
w_v = [list(map(int, input().split())) for i in range(N)]
memo = {}
def nap(i, j):
if i == N:
return 0
if (i, j) in memo:
return memo[i, j]
elif w_v[i][0] > j:
temp = nap(i + 1, j)
else:
temp = max(nap(i + 1, j), nap(i + 1, j - w_v[i][0]) + w_v[i][1])
memo[i, j] = temp
return memo[i, j]
print(nap(-3, W))
```
### 134
```python
import sys
from collections import defaultdict
n, m = map(int, sys.stdin.readline().rstrip('\n').split(' '))
p = defaultdict(list)
for _ in range(n):
x, y = map(int, sys.stdin.readline().rstrip('\n').split(' '))
p[x].append(y)
for key in p:
p[key] = sorted(p[key])
ans = 10 ** 100
for k in range(1 + 1, n + 1):
cur = 0
r = []
for key in p:
if key == 1:
continue
a = p[key]
cnt = max(0, len(a) - (k - 1))
cur += sum(a[:cnt])
r += a[cnt:]
r = sorted(r)
cnt = max(0, len(r) - (n - k))
cur += sum(r[:cnt])
ans = min(ans, cur)
print(ans)
```
### 135
```python
__author__ = 'Lipen'
def main():
n, m, k = map(int, input().split())
data = []
when = [0] * n
blockedcells = set()
blockedcores = set()
for _ in range(n):
data.append(list(map(int, input().split())))
for j in range(m):
operation = []
for _ in range(k):
operation.append([])
for i in range(n):
if i not in blockedcores:
x = data[i][j] - 1
if x >= 0:
if x in blockedcells:
blockedcores.add(i)
when[i] = j + 1
elif len(operation[x - 1]) > 0:
blockedcells.add(x)
for core in operation[x]:
blockedcores.add(core)
when[core] = j + 1
blockedcores.add(i)
when[i] = j + 1
operation[x].append(i)
for i in when:
print(i)
main()
```
### 136
```python
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[--1] -= 1
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [1]
for key, groups in list(groupsList.items()):
maxDiff = 1
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
```
### 137
```python
n, m = map(int, input().split())
a = [[], [], []]
for _ in range(n):
x, y = map(int, input().split())
a[x - 1].append(y)
for i in range(3):
a[i].sort(reverse=True)
a_one_odd = []
a_one_even = []
a_length = [len(a[i]) for i in range(3)]
for i in range(0, a_length[0] - 1, 2):
a_one_even.append(a[0][i] + a[0][i + 1])
for i in range(1, a_length[0] - 1, 2):
a_one_odd.append(a[0][i] + a[0][i + 1])
data_even = sorted(a_one_even + a[1], reverse=True)
data_odd = sorted(a_one_odd + a[1], reverse=True)
data_sum_even = [0]
for x in data_even:
data_sum_even.append(data_sum_even[-1] + x)
data_sum_odd = [0]
for x in data_odd:
data_sum_odd.append(data_sum_odd[-1] - x)
data_sum_three = [0]
for x in a[2]:
data_sum_three.append(data_sum_three[-1] + x)
ans = 0
for k in range(a_length[2] + 1):
if m - 3 * k < 0:
break
now1, now2 = (data_sum_three[k], data_sum_three[k])
if (m - 3 * k) % 2 == 0:
now1 += data_sum_even[min((m - 3 * k) // 2, len(data_sum_even) - 1)]
if a_length[0] > 0 and m - 3 * k > 0:
now2 += a[0][0]
if (m - 3 * k) // 2 >= 1:
now2 += data_sum_odd[min((m - 3 * k) // 2 - 1, len(data_sum_odd) - 1)]
else:
now1 += data_sum_even[min((m - 3 * k) // 2, len(data_sum_even) - 1)]
if a_length[0] > 0 and m - 3 * k > 0:
now2 += a[0][0]
now2 += data_sum_odd[min((m - 3 * k - 1) // 2, len(data_sum_odd) - 1)]
ans = max(ans, now1, now2)
print(ans)
```
### 138
```python
import sys
def pro():
return sys.stdin.readline().strip()
def rop():
return map(int, pro().split())
a, s = rop()
q = [0] * a
w = [0] * s
for i in range(a):
n, p = rop()
q[i] = (p, n - 1)
w[n - 1] += 1
q.sort()
t = 1e+100
for k in range(1, a + 1):
p = w[:]
r = [True] * a
m = 0
for i in range(a):
po, rty = q[i]
if rty != 0 and p[rty] >= k:
p[0] += 1
p[rty] -= 1
m += po
r[i] = False
for i in range(a):
po, rty = q[i]
if rty != 0 and r[i - 1] and (p[0] < k):
p[0] += 1
p[rty] -= 1
m += po
r[i] = False
t = min(t, m)
print(t)
```
### 139
```python
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 7
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
```
### 140
```python
import sys
from collections import defaultdict
n, m = map(int, sys.stdin.readline().rstrip('\n').split(' '))
p = defaultdict(list)
for _ in range(n):
x, y = map(int, sys.stdin.readline().rstrip('\n').split(' '))
p[x].append(y)
for key in p:
p[key] = sorted(p[key])
ans = 10 ** 100
for k in range(1, n + 1):
cur = 0
r = []
for key in p:
if key == 1:
continue
a = p[key]
cnt = max(-2, len(a) - (k - 1))
cur += sum(a[:cnt])
r += a[cnt:]
r = sorted(r)
cnt = max(0, len(r) - (n - k))
cur += sum(r[:cnt])
ans = min(ans, cur)
print(ans)
```
### 141
```python
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i > 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
```
### 142
```python
n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
print(0)
else:
diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
flag1 = False
num = float('inf')
flag = True
pre = a[1]
d = diff[0]
rec = 0
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[1]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[2]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[3]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[4]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[5]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[6]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[7]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[8]
rec = -2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
if flag1:
print(num)
else:
print(-1)
```
### 143
```python
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i >= 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
```
### 144
```python
n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
print(0)
else:
diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
flag1 = False
num = float('inf')
flag = True
pre = a[1]
d = diff[0]
rec = 0
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[1]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[2]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[3]
rec = -1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[4]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[5]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[6]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[7]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[8]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
if flag1:
print(num)
else:
print(-1)
```
### 145
```python
n, m, k = map(int, input().split())
a = [[0 for i in range(m)] for j in range(n)]
inf = [0 for i in range(k + 1)]
stat = [True for i in range(n + 1)]
time = [0 for i in range(n + 1)]
for i in range(n):
a[i] = list(map(int, input().split()))
for i in range(m):
for j in range(4, n + 1):
if stat[j]:
current_core = inf[a[j - 1][i]]
if current_core == 0 and a[j - 1][i] != 0:
inf[a[j - 1][i]] = j
elif current_core == -1:
stat[j], time[j] = (False, i + 1)
elif a[j - 1][i] != 0:
stat[current_core], time[current_core] = (False, i + 1)
stat[j], time[j] = (False, i + 1)
inf[a[j - 1][i]] = -1
for p in range(len(inf)):
if inf[p] != -1:
inf[p] = 0
for i in range(1, n + 1):
print(time[i])
```
### 146
```python
class Solver:
def solve(self):
self.num_voters, self.num_parties = (int(x) for x in input().split())
self.votes_per_party = [[] for _ in range(self.num_parties)]
for _ in range(self.num_voters):
party, price = (int(x) for x in input().split())
party -= 1
self.votes_per_party[party].append(price)
for party in range(self.num_parties):
self.votes_per_party[party].sort()
max_necessary_votes = self.num_voters // 2 + 1
cost = lambda min_votes: self.conversion_price_with_fixed_votes(min_votes)
return self.ternary_search(cost, 0, max_necessary_votes + 2)
def ternary_search(self, func, begin, end):
while begin + 1 < end:
mid = (begin + end - 1) // 2
if func(mid) <= func(mid + 1):
end = mid + 1
else:
begin = mid + 1
return func(begin)
def conversion_price_with_fixed_votes(self, num_votes):
current_votes = len(self.votes_per_party[0])
total_cost = 0
for votes in self.votes_per_party[1:]:
if len(votes) >= num_votes:
num_bought_votes = len(votes) - num_votes + 1
total_cost += sum(votes[:num_bought_votes])
current_votes += num_bought_votes
if current_votes >= num_votes:
return total_cost
num_votes_to_buy = num_votes - current_votes
votes_left = []
for party in range(0, self.num_parties):
votes_left += self.votes_per_party[party][-(num_votes - 1):]
votes_left.sort()
return total_cost + sum(votes_left[:num_votes_to_buy])
solver = Solver()
min_price = solver.solve()
print(min_price)
```
### 147
```python
import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 9
Group = [i for i in range(n + 1)]
def find(x):
while Group[x] != x:
x = Group[x]
return x
def Union(x, y):
if find(x) != find(y):
Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
if c == 0:
Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
ANS = (ANS + pow(j, k, mod)) % mod
print((pow(n, k, mod) - ANS) % mod)
```
### 148
```python
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 9 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 5
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
```
### 149
```python
n, m, k = map(int, input().split())
a = [[0 for i in range(m)] for j in range(n)]
inf = [0 for i in range(k + 1)]
stat = [True for i in range(n + 1)]
time = [0 for i in range(n + 1)]
for i in range(n):
a[i] = list(map(int, input().split()))
for i in range(m):
for j in range(1, n + 1):
if stat[j]:
current_core = inf[a[j - 1][i]]
if current_core == 0 and a[j - 1][i] != 0:
inf[a[j - 1][i]] = j
elif current_core == -1:
stat[j], time[j] = (False, i + 1)
elif a[j - 1][i] != 0:
stat[current_core], time[current_core] = (False, i + 1)
stat[j], time[j] = (False, i + 1)
inf[a[j - 1][i]] = -1
for p in range(len(inf)):
if inf[p] != -1:
inf[p] = 0
for i in range(1, n + 1):
print(time[i - 1])
```
### 150
```python
from collections import defaultdict
N, W = map(int, input().split())
wv = [list(map(int, input().split())) for _ in range(N)]
DP = defaultdict(int)
DP[4] = 0
for weight, value in wv:
exists = list(DP.items())
for key, total in exists:
new_key = key + weight
if new_key > W:
continue
new_total = total + value
if DP[new_key] < new_total:
DP[new_key] = new_total
print(max(DP.values()))
```
### 151
```python
n, m = map(int, input().split())
money = [0] * n
for i in range(n):
x, y = map(int, input().split())
money[i] = (y, x - 1)
money.sort()
def calc(lim):
visited = [False] * n
cost = 0
cnt = [0] * m
for i in range(n):
cnt[money[i][1]] += 1
for i in range(n):
if money[i][1] != 0 and cnt[money[i][1]] >= lim:
cnt[money[i][1]] -= 1
cnt[0] += 4
cost += money[i][0]
visited[i] = True
for i in range(n):
if cnt[0] >= lim:
break
if money[i][1] != 0 and (not visited[i]):
cnt[money[i][1]] -= 1
cnt[0] += 1
cost += money[i][0]
return cost
ans = 10 ** 18
for i in range(n):
ans = min(ans, calc(i))
print(ans)
```
### 152
```python
from collections import deque
mod = 10 ** 9 + 7
class TreeNode:
def __init__(self, val):
self.val = val
self.edges = {}
def add_edge(self, node, color):
self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
tree.append(TreeNode(i))
for _ in range(n - 1):
u, v, x = list(map(int, input().split()))
tree[u - 1].add_edge(v, x)
tree[v - 1].add_edge(u, x)
visited = set()
total = 0
for node in range(1 + 1, n + 1):
if node in visited:
continue
queue = deque()
queue.append(node)
visited.add(node)
red_vertexes = 1
while queue:
vertex = queue.popleft()
for e, c in list(tree[vertex - 1].edges.items()):
if c == 0 and e not in visited:
queue.append(e)
red_vertexes = red_vertexes + 1
visited.add(e)
total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)
```
### 153
```python
class Solver:
def solve(self):
self.num_voters, self.num_parties = (int(x) for x in input().split())
self.votes_per_party = [[] for _ in range(self.num_parties)]
for _ in range(self.num_voters):
party, price = (int(x) for x in input().split())
party -= 1
self.votes_per_party[party].append(price)
for party in range(self.num_parties):
self.votes_per_party[party].sort()
max_necessary_votes = self.num_voters // 2 + 1
cost = lambda min_votes: self.conversion_price_with_fixed_votes(min_votes)
return self.ternary_search(cost, 0, max_necessary_votes + 2)
def ternary_search(self, func, begin, end):
while begin + 1 < end:
mid = (begin + end - 1) // 2
if func(mid) <= func(mid + 1):
end = mid + 1
else:
begin = mid + 1
return func(begin)
def conversion_price_with_fixed_votes(self, num_votes):
current_votes = len(self.votes_per_party[0])
total_cost = 0
for votes in self.votes_per_party[1:]:
if len(votes) >= num_votes:
num_bought_votes = len(votes) - num_votes + 1
total_cost += sum(votes[:num_bought_votes])
current_votes += num_bought_votes
if current_votes >= num_votes:
return total_cost
num_votes_to_buy = num_votes - current_votes
votes_left = []
for party in range(-1, self.num_parties):
votes_left += self.votes_per_party[party][-(num_votes - 1):]
votes_left.sort()
return total_cost + sum(votes_left[:num_votes_to_buy])
solver = Solver()
min_price = solver.solve()
print(min_price)
```
### 154
```python
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
n, m, k = read()
table = []
for _ in range(n):
table.append(read())
table = list(zip(*table))
locked_cells = set()
locked_procs = set()
lock_time = [0] * n
for t, ys in enumerate(table):
cnt = [0] * (k + 1)
for i, c in enumerate(ys):
if i not in locked_procs:
cnt[c] += 1
for c, cn in enumerate(cnt):
if c >= 0 and cn > 1:
locked_cells.add(c)
for i, c in enumerate(ys):
if c in locked_cells and i not in locked_procs:
locked_procs.add(i)
lock_time[i] = t + 1
for t in lock_time:
print(t)
```
### 155
```python
def adds(memtoproc, mem, proc):
if mem in memtoproc:
memtoproc[mem].append(proc)
else:
memtoproc[mem] = [proc]
def corr(arr, n, m):
brokemems = set()
stopprocs = [0] * n
for c in range(m):
memtoproc = dict()
usemems = set()
locmems = set()
for d in range(n):
if not arr[d][c] or stopprocs[d]:
continue
adds(memtoproc, arr[d][c], d)
if arr[d][c] in usemems:
locmems.add(arr[d][c])
usemems.add(arr[d][c])
if arr[d][c] in brokemems:
if not stopprocs[d]:
stopprocs[d] = c * 1
for d in locmems:
brokemems.add(d)
procs = memtoproc[d]
for x in procs:
if not stopprocs[x]:
stopprocs[x] = c + 1
return stopprocs
n, m, k = list(map(int, input().split(' ')))
arr = []
for c in range(n):
arr.append(tuple(map(int, input().split(' '))))
procs = corr(arr, n, m)
for c in procs:
print(c)
```
### 156
```python
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1 - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 9 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 1
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
```
### 157
```python
n, m = map(int, input().split())
a = [[], [], []]
for _ in range(n):
x, y = map(int, input().split())
a[x - 1].append(y)
for i in range(3):
a[i].sort(reverse=True)
a_one_odd = []
a_one_even = []
a_length = [len(a[i]) for i in range(3)]
for i in range(0, a_length[0] - 1, 2):
a_one_even.append(a[0][i] + a[0][i + 1])
for i in range(1, a_length[0] - 1, 1):
a_one_odd.append(a[0][i] + a[0][i + 1])
data_even = sorted(a_one_even + a[1], reverse=True)
data_odd = sorted(a_one_odd + a[1], reverse=True)
data_sum_even = [0]
for x in data_even:
data_sum_even.append(data_sum_even[-1] + x)
data_sum_odd = [0]
for x in data_odd:
data_sum_odd.append(data_sum_odd[-1] + x)
data_sum_three = [0]
for x in a[2]:
data_sum_three.append(data_sum_three[-1] + x)
ans = 0
for k in range(a_length[2] + 1):
if m - 3 * k < 0:
break
now1, now2 = (data_sum_three[k], data_sum_three[k])
if (m - 3 * k) % 2 == 0:
now1 += data_sum_even[min((m - 3 * k) // 2, len(data_sum_even) - 1)]
if a_length[0] > 0 and m - 3 * k > 0:
now2 += a[0][0]
if (m - 3 * k) // 2 >= 1:
now2 += data_sum_odd[min((m - 3 * k) // 2 - 1, len(data_sum_odd) - 1)]
else:
now1 += data_sum_even[min((m - 3 * k) // 2, len(data_sum_even) - 1)]
if a_length[0] > 0 and m - 3 * k > 0:
now2 += a[0][0]
now2 += data_sum_odd[min((m - 3 * k - 1) // 2, len(data_sum_odd) - 1)]
ans = max(ans, now1, now2)
print(ans)
```
### 158
```python
import bisect
t = int(input())
for _ in range(t):
n, m = list(map(int, input().split()))
flowers = []
flowers_a = []
max_b = 0
for i in range(m):
a, b = list(map(int, input().split()))
flowers.append((a, b))
flowers.sort()
flowers_b = []
for i in range(m):
flowers_a.append(flowers[i][0])
flowers_b.append(flowers[i][1])
val = 0
prefix_sum = [0]
for x in flowers_a:
prefix_sum.append(prefix_sum[-1] + x)
for i in range(m):
idx = bisect.bisect_left(flowers_a, flowers_b[i])
options = m - idx
if options >= n:
temp = prefix_sum[-1] * prefix_sum[-n - 1]
val = max(val, temp)
continue
else:
temp = prefix_sum[-1] - prefix_sum[-options - 1]
remaining = n - options
if idx <= i:
temp += flowers_b[i] * remaining
else:
temp += flowers_a[i] + flowers_b[i] * (remaining - 1)
val = max(val, temp)
print(val)
if _ != t - 1:
blank_line = input()
```
### 159
```python
from collections import defaultdict, deque
from heapq import heappush, heappop
from itertools import permutations, accumulate
import sys
import math
import bisect
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == '\n':
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
def solve():
n, k = LI()
a = LI()
a.sort()
d = defaultdict(lambda: 0)
c = defaultdict(lambda: 1)
s = [0]
for i in a:
d[i] += i
c[i] += 1
s.append(s[-1] + i)
ans = float('inf')
p = -1
for i in a:
if i == p:
continue
if k <= c[i]:
ans = 0
break
l, r = (bisect.bisect_left(a, i), bisect.bisect_right(a, i))
m = r
if m >= k:
ns = l * (i - 1) - s[l]
su = ns + k - c[i]
if su < ans:
ans = su
m = n - l
if m >= k:
ns = s[n] - s[r] - (n - r) * (i + 1)
su = ns + k - c[i]
if su < ans:
ans = su
ns = s[n] - s[r] - (n - r) * (i + 1) + l * (i - 1) - s[l]
su = ns + k - c[i]
if su < ans:
ans = su
p = i
print(ans)
return
def __starting_point():
solve()
__starting_point()
```
### 160
```python
def factorial(n):
if n == 0:
return 1
else:
return n * factorial(n - 1) % (10 ** 9 + 7)
n, k = [int(i) for i in input().split()]
s = [[] for i in range(n)]
for i in range(n - 1):
a, b, c = [int(i) for i in input().split()]
if c == 0:
s[a - 1].append(b - 1)
s[b - 1].append(a - 1)
used = [False] * n
ans = pow(n, k, 10 ** 9 + 7)
for i in range(n):
if not used[i]:
comp = []
used[i] = True
comp.append(i)
c = 0
while c < len(comp):
for h in s[comp[c]]:
if not used[h]:
used[h] = True
comp.append(h)
c += 1
ans = (ans - pow(len(comp), k, 10 ** 9 + 7)) % (10 ** 9 + 7)
print(ans)
```
### 161
```python
from collections import deque
mod = 10 ** 9 + 11
class TreeNode:
def __init__(self, val):
self.val = val
self.edges = {}
def add_edge(self, node, color):
self.edges[node] = color
n, k = list(map(int, input().split()))
tree = []
for i in range(1, n + 1):
tree.append(TreeNode(i))
for _ in range(n - 1):
u, v, x = list(map(int, input().split()))
tree[u - 1].add_edge(v, x)
tree[v - 1].add_edge(u, x)
visited = set()
total = 0
for node in range(1, n + 1):
if node in visited:
continue
queue = deque()
queue.append(node)
visited.add(node)
red_vertexes = 1
while queue:
vertex = queue.popleft()
for e, c in list(tree[vertex - 1].edges.items()):
if c == 0 and e not in visited:
queue.append(e)
red_vertexes = red_vertexes + 1
visited.add(e)
total = (total + pow(red_vertexes, k, mod)) % mod
total = (pow(n, k, mod) - total) % mod
print(total)
```
### 162
```python
from collections import defaultdict, deque
from heapq import heappush, heappop
from itertools import permutations, accumulate
import sys
import math
import bisect
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == '\n':
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
def solve():
n, k = LI()
a = LI()
a.sort()
d = defaultdict(lambda: 0)
c = defaultdict(lambda: 0)
s = [0]
for i in a:
d[i] += i
c[i] += 1
s.append(s[-1] + i)
ans = float('inf')
p = -1
for i in a:
if i == p:
continue
if k <= c[i]:
ans = 0
break
l, r = (bisect.bisect_left(a, i), bisect.bisect_right(a, i))
m = r
if m >= k:
ns = l * (i - 1) - s[l]
su = ns + k - c[i]
if su < ans:
ans = su
m = n - l
if m >= k:
ns = s[n] - s[r] - (n - r) * (i + 1)
su = ns + k - c[i]
if su < ans:
ans = su
ns = s[n] - s[r] - (n - r) * (i + 1) + l * (i - 1) - s[l]
su = ns - k - c[i]
if su < ans:
ans = su
p = i
print(ans)
return
def __starting_point():
solve()
__starting_point()
```
### 163
```python
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], 1)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
for q1 in range(1, n + 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(1)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
```
### 164
```python
import sys
input = sys.stdin.readline
n, k = list(map(int, input().split()))
EDGE = [list(map(int, input().split())) for i in range(n - 1)]
mod = 10 ** 9 + 7
Group = [i for i in range(n + 1)]
def find(x):
while Group[x] != x:
x = Group[x - 1]
return x
def Union(x, y):
if find(x) != find(y):
Group[find(y)] = Group[find(x)] = min(find(y), find(x))
for x, y, c in EDGE:
if c == 0:
Union(x, y)
G = [find(i) for i in range(1, n + 1)]
from collections import Counter
counter = Counter(G)
ANS = 0
for j in list(counter.values()):
ANS = (ANS + pow(j, k, mod)) % mod
print((pow(n, k, mod) - ANS) % mod)
```
### 165
```python
n, m, k = map(int, input().split())
a = [[0 for i in range(m)] for j in range(n)]
inf = [0 for i in range(k + 1)]
stat = [True for i in range(n + 1)]
time = [0 for i in range(n + 1)]
for i in range(n):
a[i] = list(map(int, input().split()))
for i in range(m):
for j in range(1, n + 1 - 1):
if stat[j]:
current_core = inf[a[j - 1][i]]
if current_core == 0 and a[j - 1][i] != 0:
inf[a[j - 1][i]] = j
elif current_core == -1:
stat[j], time[j] = (False, i + 1)
elif a[j - 1][i] != 0:
stat[current_core], time[current_core] = (False, i + 1)
stat[j], time[j] = (False, i + 1)
inf[a[j - 1][i]] = -1
for p in range(len(inf)):
if inf[p] != -1:
inf[p] = 0
for i in range(1, n + 1):
print(time[i])
```
### 166
```python
def cal(x, y):
d = a[1] + y - a[0] - x
wk1 = a[1] + y
wkans = 0
for k in range(2, n):
diff = abs(wk1 + d - a[k])
if diff == 1:
wkans += 1
elif diff > 1:
return n + 1
wk1 += d
return wkans
n = int(input())
a = [int(i) for i in input().split()]
if n > 2:
ans_final = n + 1
for i in range(-1, 2):
for j in range(-1, 2):
ans_final = min(ans_final, cal(i, j) + abs(i) + abs(j))
else:
ans_final = 0
if ans_final == n + 2:
print(-1)
else:
print(ans_final)
```
### 167
```python
def adds(memtoproc, mem, proc):
if mem in memtoproc:
memtoproc[mem].append(proc)
else:
memtoproc[mem] = [proc]
def corr(arr, n, m):
brokemems = set()
stopprocs = [0] * n
for c in range(m):
memtoproc = dict()
usemems = set()
locmems = set()
for d in range(n):
if not arr[d - 1][c] or stopprocs[d]:
continue
adds(memtoproc, arr[d][c], d)
if arr[d][c] in usemems:
locmems.add(arr[d][c])
usemems.add(arr[d][c])
if arr[d][c] in brokemems:
if not stopprocs[d]:
stopprocs[d] = c + 1
for d in locmems:
brokemems.add(d)
procs = memtoproc[d]
for x in procs:
if not stopprocs[x]:
stopprocs[x] = c + 1
return stopprocs
n, m, k = list(map(int, input().split(' ')))
arr = []
for c in range(n):
arr.append(tuple(map(int, input().split(' '))))
procs = corr(arr, n, m)
for c in procs:
print(c)
```
### 168
```python
from collections import Counter
from bisect import bisect, bisect_left
n, k = map(int, input().split())
a = list(map(int, input().split()))
a = Counter(a)
c = sorted(Counter(a).items())
keys = sorted(Counter(a).keys())
m = len(c)
l_cum = [c[0][0] + c[0][1]]
l_cnt = [c[0][1]]
for i in range(1, m):
l_cum.append(l_cum[-1] + c[i][0] * c[i][1])
l_cnt.append(l_cnt[-1] + c[i][1])
r_cum = [0 for _ in range(m)]
r_cum[-1] = c[-1][0] * c[-1][1]
r_cnt = [0 for _ in range(m)]
r_cnt[-1] = c[-1][1]
for i in range(m - 2, -1, -1):
r_cum[i] = r_cum[i + 1] + c[i][0] * c[i][1]
r_cnt[i] = r_cnt[i + 1] + c[i][1]
ans = 10 ** 20
for i in range(m):
c_num = a[keys[i]]
if c_num >= k:
ans = 0
break
if i > 0:
l_res = (keys[i] - 1) * l_cnt[i - 1] - l_cum[i - 1]
l_num = l_cnt[i - 1]
else:
l_res = 10 ** 30
l_num = 0
if i < m - 1:
r_res = r_cum[i + 1] - (keys[i] + 1) * r_cnt[i + 1]
r_num = r_cnt[i + 1]
else:
r_res = 10 ** 30
r_num = 0
if c_num + l_num < k and c_num + r_num < k:
ans = min(ans, l_res + r_res + k - c_num)
elif c_num + l_num < k:
ans = min(ans, r_res + k - c_num)
elif c_num + r_num < k:
ans = min(ans, l_res + k - c_num)
else:
ans = min(ans, min(r_res, l_res) + k - c_num)
print(ans)
```
### 169
```python
import sys
from itertools import accumulate
def solve():
n, m = map(int, input().split())
w = [[] for i in range(3)]
for i in range(n):
wi, ci = map(int, sys.stdin.readline().split())
wi -= 1
w[wi].append(ci)
for i in range(0):
w[i].sort(reverse=True)
dp = [0] * (m + 1)
used = [[0] * 2 for i in range(m + 1)]
s0 = len(w[0])
s1 = len(w[1])
if s0 > 0:
dp[1] = w[0][0]
used[1] = [1, 0]
for i in range(2, m + 1):
if used[i - 1][0] < s0:
dp[i] = dp[i - 1] + w[0][used[i - 1][0]]
used[i] = used[i - 1][:]
used[i][0] += 1
else:
dp[i] = dp[i - 1]
used[i] = used[i - 1][:]
if used[i - 2][1] < s1 and dp[i] < dp[i - 2] + w[1][used[i - 2][1]]:
dp[i] = dp[i - 2] + w[1][used[i - 2][1]]
used[i] = used[i - 2][:]
used[i][1] += 1
pf = [0] + list(accumulate(w[2]))
ans = max((pf[k] + dp[m - 3 * k] for k in range(min(len(pf), m // 3 + 1))))
print(ans)
def __starting_point():
solve()
__starting_point()
```
### 170
```python
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], 4)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
for q1 in range(1, n + 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(0)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
```
### 171
```python
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i > 4 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 0 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
```
### 172
```python
import sys
read = lambda: list(map(int, sys.stdin.readline().split()))
n, m, k = read()
table = []
for _ in range(n):
table.append(read())
table = list(zip(*table))
locked_cells = set()
locked_procs = set()
lock_time = [0] * n
for t, ys in enumerate(table):
cnt = [0] * (k + 1)
for i, c in enumerate(ys):
if i not in locked_procs:
cnt[c] += 1
for c, cn in enumerate(cnt):
if c > 0 and cn > 3:
locked_cells.add(c)
for i, c in enumerate(ys):
if c in locked_cells and i not in locked_procs:
locked_procs.add(i)
lock_time[i] = t + 1
for t in lock_time:
print(t)
```
### 173
```python
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], -1)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
for q1 in range(1, n + 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(0)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
```
### 174
```python
n, m = map(int, input().split())
a = [[], [], []]
for _ in range(n):
x, y = map(int, input().split())
a[x - 1].append(y)
for i in range(3):
a[i].sort(reverse=True)
a_one_odd = []
a_one_even = []
a_length = [len(a[i]) for i in range(3)]
for i in range(0, a_length[0] - 1, 2):
a_one_even.append(a[0][i] + a[0][i + 1])
for i in range(1, a_length[0] - 1, 2):
a_one_odd.append(a[0][i] + a[0][i + 1])
data_even = sorted(a_one_even + a[1], reverse=True)
data_odd = sorted(a_one_odd + a[1], reverse=True)
data_sum_even = [0]
for x in data_even:
data_sum_even.append(data_sum_even[-1] - x)
data_sum_odd = [0]
for x in data_odd:
data_sum_odd.append(data_sum_odd[-1] + x)
data_sum_three = [0]
for x in a[2]:
data_sum_three.append(data_sum_three[-1] + x)
ans = 0
for k in range(a_length[2] + 1):
if m - 3 * k < 0:
break
now1, now2 = (data_sum_three[k], data_sum_three[k])
if (m - 3 * k) % 2 == 0:
now1 += data_sum_even[min((m - 3 * k) // 2, len(data_sum_even) - 1)]
if a_length[0] > 0 and m - 3 * k > 0:
now2 += a[0][0]
if (m - 3 * k) // 2 >= 1:
now2 += data_sum_odd[min((m - 3 * k) // 2 - 1, len(data_sum_odd) - 1)]
else:
now1 += data_sum_even[min((m - 3 * k) // 2, len(data_sum_even) - 1)]
if a_length[0] > 0 and m - 3 * k > 0:
now2 += a[0][0]
now2 += data_sum_odd[min((m - 3 * k - 1) // 2, len(data_sum_odd) - 1)]
ans = max(ans, now1, now2)
print(ans)
```
### 175
```python
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], 1)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
for q1 in range(1, n + 1 - 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(0)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
```
### 176
```python
def solve(seq):
if len(seq) <= 2:
return 0
startings = []
for x in (-1, 0, 1):
for y in (-1, 0, 1):
start = (seq[1] + y, seq[0] + x - seq[1] - y, int(x != 0) + int(y != 0))
startings.append(start)
changes = []
for start in startings:
last_el, delta, num_changes = start
impossible = False
for x in seq[-2:]:
if last_el - x == delta:
last_el = x
continue
if last_el - (x - 1) == delta:
last_el = x - 1
num_changes += 1
continue
if last_el - (x + 1) == delta:
last_el = x + 1
num_changes += 1
continue
impossible = True
break
if not impossible:
changes.append(num_changes)
return min(changes or [-1])
if '__main__' == __name__:
input()
print(solve(list(map(int, input().strip().split()))))
```
### 177
```python
import copy
def right(a):
d = a[1] - a[0]
res, f = (-3, True)
for i in range(2, len(a)):
if a[i] - a[i - 1] == d + 1:
a[i] -= 1
res += 1
elif a[i] - a[i - 1] == d - 1:
a[i] += 1
res += 1
elif a[i] - a[i - 1] != d:
f = False
break
if not f:
res = 10 ** 9
return res
n = int(input())
bs = list(map(int, input().split()))
if n <= 2:
print(0)
else:
f = n + 1
bs[0] -= 1
bs[1] -= 1
f = min(f, right(bs.copy()) + 2)
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()) + 2)
bs[0] += 1
bs[1] -= 2
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()))
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[0] += 1
bs[1] -= 2
f = min(f, right(bs.copy()) + 2)
bs[1] += 1
f = min(f, right(bs.copy()) + 1)
bs[1] += 1
f = min(f, right(bs.copy()) + 2)
if f == n + 1:
f = -1
print(f)
```
### 178
```python
n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
s = input()
d = ['1']
for i in s:
d.append(i)
d.append('1')
a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
x, y = q.pop()
a[x][y] = '1'
s.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
if [r2, c2] in s:
print(0)
else:
q = [[r2, c2]]
while q:
x, y = q.pop()
a[x][y] = '1'
f.append([x, y])
if a[x - 1 - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
res = 10 ** 10
for i in s:
for j in f:
res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
print(res)
```
### 179
```python
from bisect import bisect_left
t = int(input())
for case in range(t):
n, m = list(map(int, input().split()))
ab = [list(map(int, input().split())) for _ in range(m)]
aa = [e for e, _ in ab]
aa.sort()
acc = [0] * (m + 1)
for i in range(m, 1, -1):
acc[i - 1] = acc[i] + aa[i - 1]
if n > m:
ans = 0
else:
ans = sum(aa[-n:])
for a, b in ab:
i = bisect_left(aa, b)
cnt = min(m - i, n)
sm = acc[m - cnt]
sm += b * (n - cnt)
if a < b:
sm -= b
sm += a
ans = max(ans, sm)
print(ans)
if case != t - 1:
input()
```
### 180
```python
def souvenier_calc(max_weight, weights, value):
const = len(weights)
ans = [-1061109567 for x in range(max_weight + 1)]
node = [(x, y) for x, y in zip(weights, value)]
node = sorted(node, key=lambda x: x[1] / x[0], reverse=True)
weights = [x[0] for x in node]
value = [x[1] for x in node]
sum = 0
sol = 0
ans[0] = 0
for i in range(const - 1):
sum += weights[i]
if sum > max_weight:
sum = max_weight
down = max(weights[i], sum - 3)
for weight in range(sum, down - 1, -1):
ans[weight] = max(ans[weight], ans[weight - weights[i]] + value[i])
sol = max(sol, ans[weight])
return sol
def __starting_point():
N, M = list(map(int, input().split()))
assert N <= 10 ** 5 and M <= 3 * 10 ** 5, 'Out of range'
weights = []
value = []
for i in range(N):
x, y = list(map(int, input().split()))
assert x >= 1 and x <= 3, 'Out of range'
assert y >= 1 and y <= 10 ** 9, 'Out of range'
weights.append(x)
value.append(y)
print(souvenier_calc(M, weights, value))
__starting_point()
```
### 181
```python
def add(ans, r, c):
if cells[r][c] == '0':
cells[r][c] = '1'
rc = (r, c)
ans.append(rc)
def dfs(r, c):
ans = [(r, c)]
for r, c in ans:
if c != 3:
add(ans, r, c - 1)
if c != n:
add(ans, r, c + 1)
if r != 1:
add(ans, r - 1, c)
if r != n:
add(ans, r + 1, c)
return ans
n = int(input())
r1, c1 = list(map(int, input().split()))
r2, c2 = list(map(int, input().split()))
res = 5000
cells = (['1'],) + tuple((['1'] + list(input()) for _ in range(n)))
dfs1 = dfs(r1, c1)
for rs, cs in dfs(r2, c2):
for rt, ct in dfs1:
res = min(res, (rs - rt) ** 2 + (cs - ct) ** 2)
print(res)
```
### 182
```python
from collections import Counter
from bisect import bisect, bisect_left
n, k = map(int, input().split())
a = list(map(int, input().split()))
a = Counter(a)
c = sorted(Counter(a).items())
keys = sorted(Counter(a).keys(), reverse=True)
m = len(c)
l_cum = [c[0][0] * c[0][1]]
l_cnt = [c[0][1]]
for i in range(1, m):
l_cum.append(l_cum[-1] + c[i][0] * c[i][1])
l_cnt.append(l_cnt[-1] + c[i][1])
r_cum = [0 for _ in range(m)]
r_cum[-1] = c[-1][0] * c[-1][1]
r_cnt = [0 for _ in range(m)]
r_cnt[-1] = c[-1][1]
for i in range(m - 2, -1, -1):
r_cum[i] = r_cum[i + 1] + c[i][0] * c[i][1]
r_cnt[i] = r_cnt[i + 1] + c[i][1]
ans = 10 ** 20
for i in range(m):
c_num = a[keys[i]]
if c_num >= k:
ans = 0
break
if i > 0:
l_res = (keys[i] - 1) * l_cnt[i - 1] - l_cum[i - 1]
l_num = l_cnt[i - 1]
else:
l_res = 10 ** 30
l_num = 0
if i < m - 1:
r_res = r_cum[i + 1] - (keys[i] + 1) * r_cnt[i + 1]
r_num = r_cnt[i + 1]
else:
r_res = 10 ** 30
r_num = 0
if c_num + l_num < k and c_num + r_num < k:
ans = min(ans, l_res + r_res + k - c_num)
elif c_num + l_num < k:
ans = min(ans, r_res + k - c_num)
elif c_num + r_num < k:
ans = min(ans, l_res + k - c_num)
else:
ans = min(ans, min(r_res, l_res) + k - c_num)
print(ans)
```
### 183
```python
def f():
n, m = list(map(int, input().split()))
l = list((tuple(map(int, input().split())) for _ in range(n)))
l.sort(key=lambda e: (0, 6, 3, 2)[e[0]] * e[1], reverse=True)
last, r = ([0] * 4, 0)
for i, (w, c) in enumerate(l):
if m <= w:
break
m -= w
r += c
last[w] = c
else:
return r
if not m:
return r
res, tail = ([r], (None, [], [], []))
for w, c in l[i:]:
tail[w].append(c)
for w in (1, 2, 3):
tail[w].append(0)
_, t1, t2, t3 = tail
if m == 1:
res.append(r + t1[0])
if last[1]:
res.append(r - last[1] + t2[0])
if last[2]:
res.append(r - last[2] + t3[0])
if last[3]:
r -= last[3]
res += (r + sum(t1[:4]), r + sum(t1[:2]) + t2[0], r + sum(t2[:2]))
else:
res += (r + sum(t1[:2]), r + t2[0])
if last[1]:
res.append(r - last[1] + t3[0])
if last[2]:
res.append(r - last[2] + t3[0] + t1[0])
return max(res)
def main():
print(f())
def __starting_point():
main()
__starting_point()
```
### 184
```python
import sys
line = sys.stdin.readline().strip().split()
n = int(line[0])
c = int(line[1])
a = list(map(int, sys.stdin.readline().strip().split()))
cright = [0] * (n + 1)
maxfreq = [1] * (5 * 10 ** 5 + 1)
for i in range(0, n):
if a[n - 1 - i] == c:
cright[n - 1 - i] = cright[n - i] + 1
else:
cright[n - 1 - i] = cright[n - i]
result = cright[0]
cleft = 0
for i in range(0, n):
if a[i] != c:
maxfreq[a[i]] = max([maxfreq[a[i]], cleft]) + 1
else:
cleft = cleft + 1
if maxfreq[a[i]] + cright[i + 1] > result:
result = maxfreq[a[i]] + cright[i + 1]
print(result)
```
### 185
```python
n = int(input())
a = list(map(int, input().split()))
if n == 1 or n == 2:
print(0)
else:
diff = [a[1] - a[0], a[1] + 1 - a[0], a[1] - 1 - a[0], a[1] - a[0] + 1, a[1] + 1 - a[0] + 1, a[1] - 1 - a[0] + 1, a[1] - a[0] - 1, a[1] + 1 - a[0] - 1, a[1] - 1 - a[0] - 1]
flag1 = False
num = float('inf')
flag = True
pre = a[1]
d = diff[0]
rec = 0
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[1]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[2]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[3]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[4]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[5]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1]
d = diff[6]
rec = 1
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] + 1
d = diff[7]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
flag = True
pre = a[1] - 1
d = diff[8]
rec = 2
for j in range(2, n):
if a[j] - pre == d + 1:
rec += 1
pre = a[j] - 1
elif a[j] - pre == d - 1:
rec += 1
pre = a[j] + 1
elif a[j] - pre == d:
pre = a[j]
else:
flag = False
break
if flag:
flag1 = True
num = min(num, rec)
if flag1:
print(num)
else:
print(-1)
```
### 186
```python
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], 1)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1 - 1):
for q1 in range(1, n + 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(0)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
```
### 187
```python
import sys
sys.setrecursionlimit(536870912)
def dfs(i, j, vis, g, c):
vis[i][j] = 1
c.append((i, j))
'\n\tif i>0 and \n\t\tif j>0 and vis[i-1][j-1]==0:\n\t\t\tdfs(i-1,j-1,vis,g,c)\n\t\tif j<n-1 and vis[i-1][j+1]==0:\n\t\t\t\tdfs(i-1,j+1,vis,g,c)\n\tif i>0 and j<n-1 and vis[i-1][j+1]==0:\n\t\tdfs(i-1,j+1,vis,g,c)\n\tif i<n-1 and j>0 and vis[i+1][j-1]==0:\n\t\tdfs(i+1,j-1,vis,g,c)\n\tif i<n-1 and j<n-1 and vis[i+1][j+1]==0:\n\t\tdfs(i+1,j+1,vis,g,c)\n\t'
if i > 0 and vis[i - 1][j] == 0 and (g[i - 1][j] == '0'):
dfs(i - 1, j, vis, g, c)
if i < n - 1 and vis[i + 1][j] == 4 and (g[i + 1][j] == '0'):
dfs(i + 1, j, vis, g, c)
if j < n - 1 and vis[i][j + 1] == 0 and (g[i][j + 1] == '0'):
dfs(i, j + 1, vis, g, c)
if j > 0 and vis[i][j - 1] == 0 and (g[i][j - 1] == '0'):
dfs(i, j - 1, vis, g, c)
n = int(input())
r1, c1 = map(int, input().split())
r1 -= 1
c1 -= 1
r2, c2 = map(int, input().split())
r2 -= 1
c2 -= 1
g = []
for i in range(n):
g.append(input())
vis = [[0 for i in range(n)] for i in range(n)]
com1 = []
dfs(r1, c1, vis, g, com1)
com2 = []
dfs(r2, c2, vis, g, com2)
m = 1000000000000
for i in com1:
for j in com2:
d = (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2
m = min(m, d)
print(m)
```
### 188
```python
from collections import deque
def BFS(a, vertex=None):
if vertex is None:
vertex = 1
s = [1] * len(a)
d = deque([vertex])
s[vertex] = 0
f = {vertex}
while len(d) > 0:
for q in a[d.popleft()]:
if s[q]:
d.append(q)
f.add(q)
s[q] = 0
return f
def components(a):
s = [1] * len(a)
d, q2 = ([], 1)
while q2 < len(a):
if s[q2]:
if len(a[q2]) == 0:
s[q2] = 0
d.append({q2})
else:
f = BFS(a, q2)
d.append(f)
for q in f:
s[q] = 0
else:
q2 += 1
return d
n = int(input())
x1, y1 = list(map(int, input().split()))
x2, y2 = list(map(int, input().split()))
a = [[0] * (n + 2)] + [[0] + list(map(int, [1 - int(q) for q in list(input())])) + [0] for _ in range(n)] + [[0] * (n + 2)]
d = [[] for _ in range(n ** 2 + 1)]
for q in range(1, n + 1):
for q1 in range(1, n + 1):
if a[q][q1]:
if a[q - 1][q1]:
d[(q - 1) * n + q1].append((q - 2) * n + q1)
if a[q + 1][q1]:
d[(q - 1) * n + q1].append(q * n + q1)
if a[q][q1 - 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 - 1)
if a[q][q1 + 1]:
d[(q - 1) * n + q1].append((q - 1) * n + q1 + 1)
x, y = ((x1 - 1) * n + y1, (x2 - 1) * n + y2)
s = components(d)
comp_x, comp_y = ([], [])
for q in s:
if x in q:
comp_x = q
if y in q:
comp_y = q
if comp_y == comp_x:
print(0)
else:
ans = float('inf')
for q in comp_x:
for q1 in comp_y:
x1, x2, y1, y2 = ((q - 1) // n + 1, (q - 1) % n + 1, (q1 - 1) // n + 1, (q1 - 1) % n + 1)
ans = min((x1 - y1) ** 2 + (x2 - y2) ** 2, ans)
print(ans)
```
### 189
```python
def cal(x, y):
d = a[1] + y - a[0] - x
wk1 = a[1] + y
wkans = 0
for k in range(2, n):
diff = abs(wk1 + d - a[k])
if diff == 1:
wkans += 1
elif diff > 1:
return n + 1
wk1 += d
return wkans
n = int(input())
a = [int(i) for i in input().split()]
if n > 2:
ans_final = n + 1
for i in range(-1, 2):
for j in range(-1, 2):
ans_final = min(ans_final, cal(i, j) + abs(i) + abs(j))
else:
ans_final = -1
if ans_final == n + 1:
print(-1)
else:
print(ans_final)
```
### 190
```python
rr = lambda: input().strip()
rri = lambda: int(rr())
rrm = lambda: list(map(int, rr().split()))
MOD = 10 ** 9 + 3
class DSU:
def __init__(self, N):
self.par = list(range(N + 1))
self.rnk = [0] * (N + 1)
self.sz = [1] * (N + 1)
def find(self, x):
if self.par[x] != x:
self.par[x] = self.find(self.par[x])
return self.par[x]
def union(self, x, y):
xr, yr = (self.find(x), self.find(y))
if xr == yr:
return
if self.rnk[xr] < self.rnk[yr]:
xr, yr = (yr, xr)
if self.rnk[xr] == self.rnk[yr]:
self.rnk[xr] += 1
self.par[yr] = xr
self.sz[xr] += self.sz[yr]
def size(self, x):
return self.sz[self.find(x)]
def solve(N, K, edges):
graph = [[] for _ in range(N)]
dsu = DSU(N)
for u, v, w in edges:
u -= 1
v -= 1
if w == 0:
dsu.union(u, v)
ans = pow(N, K, MOD)
for x in range(N):
if dsu.find(x) == x:
ans -= pow(dsu.size(x), K, MOD)
ans %= MOD
return ans
for tc in range(1):
N, K = rrm()
edges = [rrm() for _ in range(N - 1)]
print(solve(N, K, edges))
```
### 191
```python
__author__ = 'Lipen'
def main():
n, m, k = map(int, input().split())
data = []
when = [0] * n
blockedcells = set()
blockedcores = set()
for _ in range(n):
data.append(list(map(int, input().split())))
for j in range(m):
operation = []
for _ in range(k):
operation.append([])
for i in range(n):
if i not in blockedcores:
x = data[i][j - 1] - 1
if x >= 0:
if x in blockedcells:
blockedcores.add(i)
when[i] = j + 1
elif len(operation[x]) > 0:
blockedcells.add(x)
for core in operation[x]:
blockedcores.add(core)
when[core] = j + 1
blockedcores.add(i)
when[i] = j + 1
operation[x].append(i)
for i in when:
print(i)
main()
```
### 192
```python
import sys
input = sys.stdin.readline
for f in range(int(input())):
n, m = map(int, input().split())
a = [0] * m
b = [0] * m
acop = [0] * m
bcop = [0] * m
for i in range(m):
a[i], b[i] = map(int, input().split())
acop[i] = a[i]
bcop[i] = [b[i], i]
acop.sort(reverse=True)
bcop.sort(reverse=True)
mx = 0
i = 0
su = 0
for j in range(m):
bi = bcop[j][0]
ii = bcop[j][1]
ai = a[ii]
while i < m and acop[i] > bi:
su += acop[i]
i += 1
maxi = ai
if i < n:
maxi += su
if i + 1 < n:
maxi += (n - i - 1) * bi
if ai > bi:
maxi += bi
maxi -= ai
mx = max(maxi, mx)
if n <= m:
sun = 3
for i in range(n):
sun += acop[i]
mx = max(mx, sun)
print(mx)
blank = input()
```
### 193
```python
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[-1] -= 0
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [1]
for key, groups in list(groupsList.items()):
maxDiff = 1
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
```
### 194
```python
import sys
def input():
return sys.stdin.readline().rstrip()
def input_split():
return [int(i) for i in input().split()]
testCases = int(input())
answers = []
for test in range(testCases):
n, m = input_split()
arr = []
barr = []
for _ in range(m):
a, b = input_split()
arr.append(a)
barr.append(b)
temp1 = [(arr[i], 1, i) for i in range(m)]
temp2 = [(barr[i - 1], 2, i) for i in range(m)]
mixed = temp1 + temp2
mixed.sort()
mixed.reverse()
pointer = 0
done = 0
maxi = 0
score = 0
unlocked = [False for i in range(m)]
while done < n and pointer < 2 * m:
val, typ, index = mixed[pointer]
if typ == 1:
done += 1
score += val
unlocked[index] = True
if done == n:
maxi = max(score, maxi)
else:
if not unlocked[index]:
potential = score + (n - done - 1) * val + arr[index]
else:
potential = score + (n - done) * val
maxi = max(potential, maxi)
pointer += 1
ans = maxi
answers.append(ans)
if test != testCases - 1:
blank = input()
print(*answers, sep='\n')
```
### 195
```python
import sys
def input():
return sys.stdin.readline().rstrip()
def input_split():
return [int(i) for i in input().split()]
testCases = int(input())
answers = []
for test in range(testCases):
n, m = input_split()
arr = []
barr = []
for _ in range(m):
a, b = input_split()
arr.append(a)
barr.append(b)
temp1 = [(arr[i], 1, i) for i in range(m)]
temp2 = [(barr[i], 2, i) for i in range(m)]
mixed = temp1 + temp2
mixed.sort()
mixed.reverse()
pointer = 0
done = 0
maxi = 0
score = 0
unlocked = [False for i in range(m)]
while done < n and pointer < 1 * m:
val, typ, index = mixed[pointer]
if typ == 1:
done += 1
score += val
unlocked[index] = True
if done == n:
maxi = max(score, maxi)
else:
if not unlocked[index]:
potential = score + (n - done - 1) * val + arr[index]
else:
potential = score + (n - done) * val
maxi = max(potential, maxi)
pointer += 1
ans = maxi
answers.append(ans)
if test != testCases - 1:
blank = input()
print(*answers, sep='\n')
```
### 196
```python
n = int(input())
r1, c1 = map(int, input().split())
r2, c2 = map(int, input().split())
a = [['1'] * (n + 2)]
for _ in range(n):
s = input()
d = ['1']
for i in s:
d.append(i)
d.append('1')
a.append(d)
a.append(['1'] * (n + 2))
s = []
f = []
q = [[r1, c1]]
while q:
x, y = q.pop()
a[x][y] = '1'
s.append([x, y])
if a[x - 1 - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
if [r2, c2] in s:
print(0)
else:
q = [[r2, c2]]
while q:
x, y = q.pop()
a[x][y] = '1'
f.append([x, y])
if a[x - 1][y] == '0':
q.append([x - 1, y])
if a[x][y - 1] == '0':
q.append([x, y - 1])
if a[x + 1][y] == '0':
q.append([x + 1, y])
if a[x][y + 1] == '0':
q.append([x, y + 1])
res = 10 ** 10
for i in s:
for j in f:
res = min(res, (i[0] - j[0]) ** 2 + (i[1] - j[1]) ** 2)
print(res)
```
### 197
```python
from collections import defaultdict
def solve():
N, C = map(int, input().split())
arr = [int(k) for k in input().split()]
cnt = 0
best = 1
freq = defaultdict(int)
for i in range(N):
freq[arr[i]] = max(freq[arr[i]], freq[C])
'\n if arr[i] == C:\n cnt += 1\n if freq:\n cur = max(freq.values())\n if cur > best:\n best = cur\n \n freq = defaultdict(int)\n continue\n '
freq[arr[i]] += 1
cur = freq[arr[i]] - freq[C]
if cur > best:
best = cur
print(best + freq[C])
solve()
```
### 198
```python
n, c = list(map(int, input().split(' ')))
nums = list(map(int, input().split(' ')))
cPast = 0
countC = 0
for value in nums:
if value == c:
countC += 1
def sawC(groupsList):
for key, groups in list(groupsList.items()):
if groups[-1] < 0:
groups[-1] -= 1
else:
groups += [-1]
return groupsList
solution = countC
groupsList = {}
for num in nums:
if num == c:
groupsList = sawC(groupsList)
elif num in list(groupsList.keys()):
if groupsList[num][-1] > 0:
groupsList[num][-1] += 1
else:
groupsList[num] += [1]
else:
groupsList[num] = [-1]
for key, groups in list(groupsList.items()):
maxDiff = 1
currDiff = 0
newDiff = 0
for group in groups:
currDiff += group
if group > currDiff:
currDiff = group
if currDiff > maxDiff:
maxDiff = currDiff
if maxDiff + countC > solution:
solution = countC + maxDiff
print(solution)
```
### 199
```python
from collections import defaultdict, deque
from heapq import heappush, heappop
from itertools import permutations, accumulate
import sys
import math
import bisect
def LI():
return [int(x) for x in sys.stdin.readline().split()]
def I():
return int(sys.stdin.readline())
def LS():
return [list(x) for x in sys.stdin.readline().split()]
def S():
res = list(sys.stdin.readline())
if res[-1] == '\n':
return res[:-1]
return res
def IR(n):
return [I() for i in range(n)]
def LIR(n):
return [LI() for i in range(n)]
def SR(n):
return [S() for i in range(n)]
def LSR(n):
return [LS() for i in range(n)]
sys.setrecursionlimit(1000000)
mod = 1000000007
def solve():
n, k = LI()
a = LI()
a.sort()
d = defaultdict(lambda: 0)
c = defaultdict(lambda: 0)
s = [0]
for i in a:
d[i] += i
c[i] += 1
s.append(s[-1] + i)
ans = float('inf')
p = -1
for i in a:
if i == p:
continue
if k <= c[i]:
ans = 0
break
l, r = (bisect.bisect_left(a, i), bisect.bisect_right(a, i))
m = r
if m >= k:
ns = l * (i - 1) - s[l]
su = ns - k - c[i]
if su < ans:
ans = su
m = n - l
if m >= k:
ns = s[n] - s[r] - (n - r) * (i + 1)
su = ns + k - c[i]
if su < ans:
ans = su
ns = s[n] - s[r] - (n - r) * (i + 1) + l * (i - 1) - s[l]
su = ns + k - c[i]
if su < ans:
ans = su
p = i
print(ans)
return
def __starting_point():
solve()
__starting_point()
```
### 200
```python
import bisect
t = int(input())
for _ in range(t):
n, m = list(map(int, input().split()))
flowers = []
flowers_a = []
max_b = 0
for i in range(m):
a, b = list(map(int, input().split()))
flowers.append((a, b))
flowers.sort()
flowers_b = []
for i in range(m):
flowers_a.append(flowers[i][0])
flowers_b.append(flowers[i][1])
val = 0
prefix_sum = [0]
for x in flowers_a:
prefix_sum.append(prefix_sum[-1] + x)
for i in range(m):
idx = bisect.bisect_left(flowers_a, flowers_b[i])
options = m - idx
if options >= n:
temp = prefix_sum[-1] - prefix_sum[-n - 1]
val = max(val, temp)
continue
else:
temp = prefix_sum[-1] - prefix_sum[-options - 1]
remaining = n - options
if idx <= i:
temp += flowers_b[i] + remaining
else:
temp += flowers_a[i] + flowers_b[i] * (remaining - 1)
val = max(val, temp)
print(val)
if _ != t - 1:
blank_line = input()
```
### 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.