- Problem A (Consonants):
- Small Set: 4305/4834 users (89%)
- Large Set: 1551/3778 users (41%)

- Problem B (Pogo):
- Small Set: 2537/3129 users (81%)
- Large Set: 121/638 users (19%)

- Problem C (The Great Wall):
- Small Set: 934/1260 users (74%)
- Large Set: 74/330 users (22%)

More information is on go-hero.net.

## Consonants

A solution from nip:

```
#!/usr/bin/env python
# -*- coding: utf-8 -*-
def solve(s, n):
vowels = {"a", "e", "i", "o", "u"}
nvalue = 0
count = 0 # how many consecutive consonants
pos = -1 # position of the last substring of n consonants
for i, c in enumerate(s):
if c in vowels:
count = 0
else:
count += 1
if count >= n:
pos = i + 2 - n
if pos >= 0:
nvalue += pos
return nvalue
if __name__ == "__main__":
testcases = input()
for caseNr in range(1, testcases + 1):
name, n = raw_input().split(" ")
print("Case #%i: %s" % (caseNr, solve(name, int(n))))
```

## Pogo

This is a very clever solution from xiaowuc1 (translated from Java to Python).

The idea is to calculate at first the maximum number of steps you need and then go from your target destination to the origin.

How many steps do you need? In the \(i\) round, you will make \(i\) steps. You need at least \(x+y\) steps to get from \((0|0)\) to \((x|y)\). This means, you need to solve \(\sum_{i=1}^n i = x + y\) for \(n\). This is \(\frac{n^2 + n}{2} = x+y\). You might also need to make one extra step if the parity of \(\frac{n^2 + n}{2}\) is not the same as \(x+y\). You can calculate this with a simple loop (see code below).

After you know the maximum number of steps, you can apply a greedy solution: Start from \((x|y)\) and always go into the direction that is farer away from the origin.

```
#!/usr/bin/env python
# -*- coding: utf-8 -*-
def calculateSteps(x, y):
s = 0
dist = abs(x) + abs(y)
while (s ** 2 + s) / 2 < dist or ((s ** 2 + s) / 2) % 2 != dist % 2:
s += 1
return s
def solve(x, y):
""" starting at (0|0) and going i steps,
how can you reach (x|y)? """
s = calculateSteps(x, y)
solution = ""
for i in range(s, 1 - 1, -1):
if abs(x) > abs(y):
if x > 0:
solution += "E"
x -= i
else:
solution += "W"
x += i
else:
if y > 0:
solution += "N"
y -= i
else:
solution += "S"
y += i
return solution[::-1]
if __name__ == "__main__":
testcases = input()
for caseNr in range(1, testcases + 1):
x, y = raw_input().split(" ")
x, y = int(x), int(y)
print("Case #%i: %s" % (caseNr, solve(x, y)))
```

## The Great Wall

The following solution is not applicable for the large input set, but it works fine for the small one:

```
#!/usr/bin/env python
# -*- coding: utf-8 -*-
from collections import defaultdict
def prepareTribes(tribes):
tribeStack = []
for tribe in tribes:
for attackNumber in range(0, tribe["ni"]):
tribeStack.append(
{
"day": tribe["di"] + attackNumber * tribe["delta_di"],
"west": 2 * (tribe["wi"] + attackNumber * tribe["delta_pi"]),
"east": 2 * (tribe["ei"] + attackNumber * tribe["delta_pi"]),
"height": tribe["si"] + attackNumber * tribe["delta_si"],
}
)
return sorted(tribeStack, key=lambda tribe: tribe["day"])
def runAttack(wall, tribe):
increase = []
for i in range(tribe["west"], tribe["east"] + 1):
if wall[i] < tribe["height"]: # wall-ee
increase.append({"wallPos": i, "height": tribe["height"]})
return increase
def solve(tribes):
wall = defaultdict(int)
tribeStack = prepareTribes(tribes)
# for tribe in tribeStack:
# print tribe["day"], "[" + str(tribe["west"]) + "," + str(tribe["east"])+"]", tribe["height"]
successes = 0
increase = []
for i, tribe in enumerate(tribeStack):
increaseTmp = runAttack(wall, tribe)
# print wall
# print tribe
if len(increaseTmp) > 0:
successes += 1
increase += increaseTmp
if i + 1 == len(tribeStack) or tribeStack[i + 1]["day"] > tribe["day"]:
for el in increase:
if wall[el["wallPos"]] < el["height"]:
wall[el["wallPos"]] = el["height"]
return successes
if __name__ == "__main__":
testcases = input()
for caseNr in range(1, testcases + 1):
N = input() # Number of tribes attacking the wall
tribes = []
for tribe in range(N):
di, ni, wi, ei, si, delta_di, delta_pi, delta_si = raw_input().split(" ")
tribes.append(
{
"di": int(di), # the day of the tribe's first attack
"ni": int(ni), # the number of attacks from this tribe
"wi": int(wi), # the westmost
"ei": int(
ei
), # and eastmost points respectively of the Wall attacked on the first attack
"si": int(si), # the strength of the first attack
"delta_di": int(
delta_di
), # the number of days between subsequent attacks by this tribe
"delta_pi": int(
delta_pi
), # the distance this tribe travels to the east between subsequent attacks (if this is negative, the tribe travels to the west)
"delta_si": int(
delta_si
), # the change in strength between subsequent attacks
}
)
print("Case #%i: %s" % (caseNr, solve(tribes)))
```

By the way, nobody has solved the large input set of this one with Python! But here is a Java solution.