day 11 & day 12

2024/day10.py

@@ -5,6 +5,7 @@
 
 import sys,time
 from helpingFunctions import *
+from collections import defaultdict
 
 setSampleMode(False)
 
@@ -13,13 +14,49 @@ aocYear = identifyYear(sys.argv[0])
 
 path = getPath2Data(aocDay,aocYear)
 filename = getFilename2Data(aocDay)
-    
+
+def createGrid(data):
+    grid = {}
+    for gridY in range(len(data)):
+        for gridX in range(len(data[0])):
+            grid[gridX,gridY]=int(data[gridY][gridX])
+    return grid
+
+def findTrails(grid):
+    trails = {}
+    trailStartList = [k for k,v in grid.items() if v == 0]
+    return trailStartList
+
+def findNextinTrail(pos,trail,grid,p2=False):
+    ret = []
+    trailX,trailY = trail
+    for moveX,moveY in [(-1,0),(0,-1),(1,0),(0,1)]:
+        try:
+            value = grid[(trailX+moveX,trailY+moveY)]
+        except:
+            value = -1
+        if value == 9 and pos == 8:
+            ret.append((trailX+moveX,trailY+moveY))
+        elif value == pos + 1:
+            ret = ret + findNextinTrail(pos+1,(trailX+moveX,trailY+moveY),grid,p2)
+    if p2 == False:
+        ret = list(set(ret))
+    return list(ret)
+
 def taskA (data) -> int:
     gameScoreA = 0
+    grid = createGrid(data)
+    trailList = findTrails(grid)
+    for trail in trailList:
+        gameScoreA += len(findNextinTrail(0,trail,grid)) 
     return gameScoreA
 
 def taskB (data) -> int:
     gameScoreB = 0
+    grid = createGrid(data)
+    trailList = findTrails(grid)
+    for trail in trailList:
+        gameScoreB += len(findNextinTrail(0,trail,grid,True))
     return gameScoreB
 
 def task(task: int,data) -> int:

2024/day10/day10a.py

@@ -0,0 +1,60 @@
+import sys
+import re
+import heapq
+from collections import defaultdict, Counter, deque
+#import pyperclip as pc
+def pr(s):
+    print(s)
+#    pc.copy(s)
+sys.setrecursionlimit(10**6)
+infile = sys.argv[1] if len(sys.argv)>=2 else '/home/bandeira/git.bandeira/aoc/2024/day10/input.day10'
+p1 = 0
+p2 = 0
+D = open(infile).read().strip()
+G = D.split('\n')
+G = [[int(x) for x in row] for row in G]
+R = len(G)
+C = len(G[0])
+
+def ways1(sr,sc):
+    """How many different 0s can I reach going down from here?"""
+    Q = deque([(sr,sc)])
+    ans = 0
+    SEEN = set()
+    while Q:
+        r,c = Q.popleft()
+        if (r,c) in SEEN:
+            continue
+        SEEN.add((r,c))
+        if G[r][c]==0:
+            ans += 1
+        for dr,dc in [(-1,0),(0,1),(1,0),(0,-1)]:
+            rr = r+dr
+            cc = c+dc
+            if 0<=rr<R and 0<=cc<C and G[rr][cc] == G[r][c]-1:
+                Q.append((rr,cc))
+    return ans
+
+DP = {}
+def ways(r,c):
+    if G[r][c]==0:
+        return 1
+    if (r,c) in DP:
+        return DP[(r,c)]
+    ans = 0
+    for dr,dc in [(-1,0),(0,1),(1,0),(0,-1)]:
+        rr = r+dr
+        cc = c+dc
+        if 0<=rr<R and 0<=cc<C and G[rr][cc] == G[r][c]-1:
+            ans += ways(rr,cc)
+    DP[(r,c)] = ans
+    return ans
+
+for r in range(R):
+    for c in range(C):
+        if G[r][c]==9:
+            p1 += ways1(r,c)
+            p2 += ways(r,c)
+
+pr(p1)
+pr(p2)

2024/day10/input.day10

@@ -0,0 +1,45 @@
+123454078104569871014321021321012349878967874
+002965169245678562105489110456701256767456983
+411873254324329453456976522343812323454305432
+320984589010012306567887431098943210563216761
+458976673407873210698790346787654329874109850
+367887654356912348787891245497645698556780943
+656792343105401059678712312338562107649891234
+343001643234332769589600404329431236032321104
+102198756121049878465521565010120345121430213
+234567987012156912374437674320345034560345412
+126898776103457809983398983011276127672126703
+045678945434967618812287034567689018984035894
+034989876325898507600176127698548109123445665
+121070165016785216010165018345630678006510778
+015676234245234345323234509216721565217329889
+104389892104101059654965432101892674398456788
+010210743233298128760870123438984583212105998
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+585210239010101443009659870652231256765692152
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+612956789401298764108763210543678945013765412
+107810987567889655895654101012109876894894321
+016721076101910346781565092325012345765765010
+145432345234581232690478783234540332345654321
+298703876501698701541089654129651231056310145
+387212965012787650132108543098774340987234236
+456903454323456043236719612012589656891105687
+125876561210798101045898703343478797650112793
+034329870325887232784387643296556788943289832
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+630145625613456780345605219812569210329547854
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+450691032105676541012764569865434501089400154
+541782145694589132123453678345123671078321965
+432679238785410016787652101254010982361267873
+121018019856321125696545610763010973450398654
+038967025657689434545236789892129887650367743
+127652134768976521430129865430034796341459812
+234543089867987010321010178921015601232378103

2024/day10/sample.day10

@@ -0,0 +1,8 @@
+89010123
+78121874
+87430965
+96549874
+45678903
+32019012
+01329801
+10456732

2024/day11.py

@@ -5,6 +5,7 @@
 
 import sys,time
 from helpingFunctions import *
+from functools import lru_cache
 
 setSampleMode(False)
 
@@ -13,13 +14,50 @@ aocYear = identifyYear(sys.argv[0])
 
 path = getPath2Data(aocDay,aocYear)
 filename = getFilename2Data(aocDay)
-    
+
+lookup={}
+
+@lru_cache(maxsize=None)
+def laserStone(stone):
+    if stone == 0:
+        return [1]
+    elif len(str(stone))%2 == 0:
+        l = len(str(stone))
+        stone=str(stone)
+        j = int(l/2)
+        return [int(stone[:j]),int(stone[j:])]
+    else:
+        return [int(stone)*2024]
+
+
 def taskA (data) -> int:
     gameScoreA = 0
+    stoneRow = [int(stone) for stone in data[0].split(' ')]
+    for i in range(25):
+        print ("Loop:" + str(i) + " = " + str(len(stoneRow)))
+        listStone=[]
+        for stone in stoneRow:
+            newStone= laserStone(stone)
+            listStone = listStone + newStone
+        stoneRow = listStone
+    gameScoreA = len(stoneRow)
     return gameScoreA
 
 def taskB (data) -> int:
     gameScoreB = 0
+    stoneRow = [int(stone) for stone in data[0].split(' ')]
+    for i in range(75):
+        print ("Loop:" + str(i) + " = " + str(len(stoneRow)))
+        listStone=[]
+        for stone in stoneRow:
+            try:
+                newStone = lookup[stone]
+            except:
+                newStone= laserStone(stone)
+                lookup[stone] = newStone
+            listStone = listStone + newStone
+        stoneRow = listStone
+    gameScoreB = len(stoneRow)
     return gameScoreB
 
 def task(task: int,data) -> int:

2024/day11/day11a.py

@@ -0,0 +1,52 @@
+from functools import cache
+from sys import argv
+ 
+MAX_DEPTH = 75
+ 
+ 
+def parse(src):
+    '''Convert the input to a list of integers.'''
+    return [int(x) for x in src.split()]
+ 
+ 
+def count_digits(num):
+    '''Count the digits of num in base 10'''
+    total = 0
+    while num > 0:
+        total += 1
+        num = num // 10
+    return total
+ 
+ 
+@cache
+def expand(stone, depth=0):
+    '''Traverse the 'timeline' depth-first and return the number of stones
+       created by blinking at stone from depth to MAX_DEPTH blinks.'''
+    while depth < MAX_DEPTH:
+        if stone == 0:
+            stone = 1
+            depth += 1
+            continue
+ 
+        digits = count_digits(stone)
+        if digits % 2 == 0:
+            mask = 10 ** (digits // 2)
+            left = stone // mask
+            right = stone % mask
+ 
+            return expand(left, depth + 1) + expand(right, depth + 1)
+ 
+        stone *= 2024
+        depth += 1
+ 
+    return 1
+ 
+ 
+def main(stones):
+    '''The total number of stones produced after 75 blinks'''
+    return sum(expand(stone) for stone in stones)
+ 
+ 
+if __name__ == '__main__':
+    # pass the path to the puzzle input as the first argument
+    print(main(parse(open('/home/bandeira/git.bandeira/aoc/2024/day11/input.day11').read())))

2024/day11/input.day11

@@ -0,0 +1 @@
+0 89741 316108 7641 756 9 7832357 91

2024/day11/sample.day11

@@ -0,0 +1 @@
+125 17

2024/day12/day12a.py

@@ -0,0 +1,34 @@
+with open("/home/bandeira/git.bandeira/aoc/2024/day12/input.day12", "r") as file:
+    lines = file.read().strip().split("\n")
+    n, m = len(lines), len(lines[0])
+    graph = {i + j * 1j: c for i, r in enumerate(lines) for j, c in enumerate(r)}
+    for i in range(-1, n + 1):
+        graph[i - 1 * 1j] = graph[i + m * 1j] = "#"
+    for j in range(-1, m + 1):
+        graph[-1 + j * 1j] = graph[n + j * 1j] = "#"
+    visited = set()
+
+
+def dfs(visited, node, color, dir):
+    if graph[node] != color:
+        if graph[node + dir * 1j] == color or graph[node - dir + dir * 1j] != color:
+            return 0, 1, 1
+        else:
+            return 0, 1, 0
+    if node in visited:
+        return 0, 0, 0
+    visited.add(node)
+    area, perimeter, sides = 1, 0, 0
+    for d in (1, -1, 1j, -1j):
+        a, p, s = dfs(visited, node + d, color, d)
+        area, perimeter, sides = area + a, perimeter + p, sides + s
+    return area, perimeter, sides
+
+
+ans1, ans2 = 0, 0
+for node in graph:
+    if node not in visited and graph[node] != "#":
+        area, perimeter, sides = dfs(visited, node, graph[node], 1)
+        ans1 += area * perimeter
+        ans2 += area * sides
+print(ans1, ans2)

2024/day12/input.day12

@@ -0,0 +1,140 @@
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+VQQQQQUUURRRRGGGGGGGGGGGGAAAAAYYYYYYYYYLLLLLLLLLLLLHHYYYYNBBBBBBDPPPPSPPPAKKKKKKKKKKKKKKKKLAALLLLLLLLLLLLLYYYYYAAAAAAATTATTTTTTJJJJJJJJJJJJJ
+VVVQQUUUUURRRRGGGGGGGGGGGAAAAAYYYYYYYYLLLLLLLLLLLLLHYYYYBBBBBBBBDPSSSSSPPAAKTKKKKKKKKKKLLLLLLLLLLLLLLLLLLYYYYYYYAAAAATTTTTTTTTTTJJJJJJJJJJCJ
+VVVVUUUUTRRRRRRGGGGGGGGGAAAEAYYYYYYYYYLLLLLLLLLLLLLYYYYYBBBBBBEBDSSSSSSSAAATTKKKKKKKKKKLLLLLLLLLLLLLLLLLLLLYYYYYYAAAAAAATAZZZZTTTJJJJJJJJJJM
+VVVUUUUUTTRRRRRRGJGGGUGXRRRERRRRYYYYYYYLLLLLLLLLLKYYYYYYYBBTWWEEWSSSSSSSSTTTTTTKKTKKKKLLLLLLLLLLLLLLLLLLLLFYYYYYYYYAAAAAAAZZZZZZZJJJJJJJJMMM
+VVVUUUUUUTRRRRUUJJUUUUXXXRRRRRRRYYYYZZYYYLLLLKKKKKKYYYYYYYWWWWWWWSSSSSSSSWWTTTTTKTKKKKLLLLLLLLLLLLLLLLLLLLYYYYYYYYGGGGGGGGGGZZZZZZJJJJJJJMMM
+VVVVUUUTTTRRRRUUUUUUUUXXXRRRRRRRVYZZZZZYYLLLLLKKKKYYYYYYYYWWWWWWWWSSSSSSSTTTTTTTTTTTKPPLLLLPZIZLLLLLLLLLLLYYYYYYYYGGGGGGGGGGZZZZZZZZZJJJJJMM
+VVVVQUTTTTRTRRUUUUUUUUXXRRRRRRRVVZZZZZZZYYLLKKKKKKKYYYYWYYWWWWWWWWWSSSSSTTTTTTTTTTTTKPPLPPPPZZZZZLLLLLLLTTYYYYYYYPGGGGGGGGGGZZZZZZZZMMJMMMMM
+VVVVVUTTTTTTRRUUUUUUUUUUURRRRRRRRRZZZZZZYGGLGKKKKKKWWWWWWWWWWWWWWWWWSSTTTTTTTTTTTTTTTPPPPPPPZZZZZZLLLLLLYYYYYYYYYPGGGGGGGGGGGGGGZZZZZMMMMMMM
+VVVVVTTTTTTTRUUUUUUUUUUUURRRRRRRRBZZZZZZZGGGGKGKKKKWWWWWWWWWWWWWWWSSSVRTTTTTTTTTTTTPPPPPPPPZZZZZZNLLLLZZYYYYYYYPPPGGGGGGGGGGGGGGZZMMMMMMMMMM
+YYYVTTTTTTTTRRUUUUUUUUUUURRRRRRRZBZZZZZZGGGGGGGGGKKKWWWWWWWWWWWWWVVVVVVTTTTTTTTTTTTTTPPPPZZZZZZZZNNNNLLPPYYYYYYPPPGGGGGGGGGGGGGGZZMMMMMMMMMM
+YYYYYTTTTTTTTUUUUUUUUURURRRRRRRZZZZZZZZGGZGGGGGGKKKKWWWWWWWWWWWVVVVVVVVTXTTTTTTTTTTQPPPPPZZZZZZZZNNNNLNPPYYYYPYPPPGGGGGGGGGGGGGGZZZMMMMMMMMM
+YYYYTTTTTTTTMMMUUUUHRRRRRRRRRRRRVZZZZZZZZZZGGGGBBBBKWWWWWWWWWWVVVVVVVVVVVVTTTTTTTTQQQPPPZZZZZZZZZZNNNNNPPYZYYPYPPPGGGGGGGGGGGGGGOOZZZZMMMMMM
+YYVVIIETTTTTMMMUUUURRRRRRRRRRQCQQAAZZZZZZZGGGGGBBKKKKKMWWWWWWWWVVVVVVVVVTTTTTTTTTHQQZZZZZZZZZZZZZZNJNPPPPPYYYPPPPLLLLLLGGGGGGGGGOOZZZZMMMMMM
+YYVIIIETTTTTTMMUUURRRRRRRRRRQQQQQQQQZZZZZZXGGGKKKKKKKMMMWWWWWWWWVVVVVVVVTTTTTTTTTTQQQZZZZZZZZZZJZZJJNJPPPPPYPPPPPLLLLLLGGGGGGGGGOOZZZMMMMMMM
+VVVVVEETTTTTTTMMMMRRRRRRRRQQQQQQQMQXZZXXXXXGGKKKKKKKMMMMMMWWWWWWWVVVVVVVTVTTTTTTTTQQQQQZZZZZZZZJJZZJJJPPPPPYIIPPPPLLDLLGGGGGGGGGZZZZZMZMMMMM
+VVVJVEEGTTTTTMMMMMRRRRRRRRRQQQQQQQXXXZXXXKKKGKKKKKKKMMMMMMWWWWWWUUVVVVVVTVTTTTTTTTQQQWQQQZZQZZZJJJJJPPPPPPIIIIIIIPPLLLLGGGGGGGGGVZZZZZZZMMMM
+VVVVOEEEEETTTMMMMMMRRRRRRRRQPQQQQQXXXZZXXKKKKKKKKKKKMMMMMMMMWWWWWUBBVVVVTVTTTTJTWWWWQWWQQQZQZZZJJJJPPPPPPPPIIIIIPPPPPLLLLHHOOOOOZZZZZZZZMMMM
+VVVVVVEEETTTTMMMMMMMRRRRRRPPPQQQQXXXXXXXXKKKKKKKKKKKMMMMMMBMBWBBBBBBVVVVVKKUUTJJWWWWWWWQQQQQQZJJJJJPPPPPPPPPPIPPPPPPPHHHHHOOOOOOOZZZZZZZZZMM
+VVVVVVEEEETTTMMMMMMMRRRRRPPPPAQQXXAXXXXXXAAAKKKKKKKMMMMMMMBBBBBBBBBBBKKKKKKUUUWWWWWWWWWQQQQQQZZJJJJJJPPPPPPPPPPPPPPPPHHHHHOOOOOOZZZZZZZZZMMM
+PVVVVVSEEEEEMMMMMMMMMRRRRPPPPAAAAAAAXXXXXAAAAAAAKARMMMMRRMHBBBBBBBBBKKKKKKUUUWWWWWWWWWWWQQQQQZZJJNJPPPPPPPPPPPEEPPLPHHHHHOOOOOOOZZZZZZZZZMMM
+VVVVVVSEEEEEUUUUUMMMMMRRRPPPPAAAAAAAXXXXAAAAAAAAAARMRRRRRRRRBCBBBBBBKKKKKKKWWWWWWWWWWWWWQQQQQNNNNNJPPPPPPPPPPPEEZPPHHHSSHOOOOOOOZZZZZZAZAAMM
+VVVVVVVUUHHHGGUUUUMMMMRPRPPPPAAAGKKAAXXAAAAAAAAAAARRRRRRRRRRVBBBBBBBKKKKKKKWWWWWWWWWWWWQQQQQQNNNNNJPPPPPPPPPPPEEEPPEEHSSOOOOOOOOOZZZZZAAAAMM
+VVVVVVVUUHHHGHUUUUUUUUPPPPPPPGGGGKKAXXAAAAAAAAAAAARRRRRRRRRRRBBBBBBBBKKKKKKUTWWWWWWWWWQQQQQQQQNNNJJPPPPPPPPPPPREEEEESSSSSSOOOOOOOZZZZZAAAAAA
+VVVVVJVUUHHHHHUUUUUPPPPPPPPPPGGGKKGXXXAAAAAAAAAAAARRRRRRRRRRREEBBEEEBBKKKLKTTTTWWWWWWWWWQQQQQQQQNJJJJJPPPPPPPPEEEEEEESSSSOOOOOOOOOOZZAAAAAAA
+VVVVVJVUUHHHHHHUUUUPWWPPPPPPPPGGGGGGXXAAAAAAAAAAAAARRRRRRRRRREEWWWWWWWWKKKTTTTTWWWWWWQQQQQQQQQQNNNNJJJPPPPPPPEEEEEEEESSSSOOOOOOOOOOWAAAAAAAA
+UUUUUUUUUUHHHUUUUUPPPWPPPPPPPPGGGGGGXXAAAAAAAAAAAYRRRRRRRREEEEFWWWWWWWWKKTTTTTTWWWWWWQQQQQQQQQQUUNNJJJJJJPPPEEEEEEEOSSSSSNNNNNNONOOOAAAAAAAA
+UUUUUUUUUHHHHUUUUUPPPWWPPPPPPPGGGGZZAAAAAAAAAAAAAYYRRRRREEEEWWWWWWWWWWWKKKKKKKKKKWWWWQQQQQQQQQQUYNNYYYJJJPPPXEEEEEOOOSSONNNNNNNNNNNAAAAAAAAA
+UUUUUUUUHHHHHHUUUUUUUWWPPPPPPPPGGGPPAAAAAAGZAAZZYYYRRRRRREEEWWWWWWWWWWWKOKKKKKKKKIIIIQQQQQQQWWUUYYYYYYYJJYXXXEEFOYOOOOOOONNNNNNNNNNAAAAAAAAA
+UUUFEFBBBHWWUUUUUUWWWWWWWPPQPPPPPPPPEAAFAAZZVZZZYYYRRRRREEEFWWWWWWWWWWWWWWWWWWWWKIIIHQQQQQQQWWUUYYYYYYYYYYXXXEXOOOOOOOONNNNNNNNNANAAAAAAAAAA
+FFUFFFBBBBWWWWUUUWWWWWWWWPPQQQPPPPPPPPYZZZZZZZZZYYYFREEEEEFFWWWWWWWWWWWWWWWWWWWWKIHIHQQQQQWWWWYYYYYYYYYYYYXXXXXOOOOOOONNNNNNNNNNAAAAAAAAAAAA
+FFFOFFFBBWWWWUUUWWWWWWWKKQPQQQPPPPPPPPYYZZZZZZZZZYFFEEEEEFFFFWWWWWWWWWWWWWWWWWWWKIHHHQQQQQWWWWWWWYYYYYYYYYYYYYOOOOOOOONNNNNNNNNNNAAAAAAAAAAA
+FFOOFFBBBWWWWWWWWWWWWKKKKQQQQQPPPPPPPPPYYZZZZZZZZZFFEEEEEFFFFWWWWWWWWWWWWWWWWWWWKHHHHQHHHWWWWWWWWWWWYYYYYYYYYIOOOOOOOOOONNNNNNNNNEAIIAAAAAAA
+FFFFFFFBFFFWWWWWWWWWWKKKKQKQPQPPPPPPPPPPPZZZZZZWWWFFFFFFFOFFFWWWWWWWWWWMKKKKKKKKKHHHHHHHWWWWWWWWWWWWYYYYYYYIIIIOOOOOOONNNNNNNNNNEEEEEIAAAAAA
+XFFFFFFFFFFWWWWWWWWWWWKKKKKQPPPPSSPPFPPZZZZZZZZWWWFFFFFFFFFFFWWWWWWWWWWKKKKKKKKKJJJHHHHHHWWWWWWWWRYYYYYYYYYIIIIIOOOOOONNNNNNNNNEEEEEEAAAAAAA
+XFFFFFFFFFFFFWWWWWWWWKKKKKKKSPPSSSSSSSPPZZZZZWWWWWFFFFFFFFFFFWWWWWWWWWWKKKKKKKKKJJTTYHHHHHWWWWWWWWJYYYYYYYIIIIIIOOOOONNNNNNNNNNEEEEEENAAAAAA
+FFFFFFFFFFFWWWWWWWWKKKKKKKKPSSSSSSSSSSPZZZZZZZZWWWWFFFFFFFFWWWWWWWWWMMKKKKKKKKKKJJJTYHHHHWWWWWWWWWYYYYYYYYIIIIIIOOOOOONNNNNNNNNEEREEEEAAAAAB
+FFFFFFFFFRRRRRRRWKKKKKKKKKPPSSSSSSSSSZZZZZZZZZZZWWWFFFFFFFFWWWWWWWFFJJKKKKKKKKKKJJJJYYYYHWWWWWWWWWWWYYYYYYYYIIIIOOOOOOONVVNNNEEEEEEEEEAATABB
+FFFFFFFFFFRRYRRRKKKKKKKKKKKKDSSSSSSSSZZZZZZZZVWWWVVFFFFFFUFWWWWWWWVFFJKKKJJJJJJJJJJJYYYYYFWWWWWWWWWWYYYYYYYYIIIIOOOOOOOOAVVNNNEEEEEEEEEEEAEB
+FFFFFFFFFFRRRRRRRVKKKKKKKKKSSSSSSSSXSSZZZZZZZVVVVVVFFFFFFUFWWWWWWWVVVJJJJJJJJJJJJJJFYYYYWWWWWWWWWWYYYYYYYYYIIIIIIOOOBBVOVVVVVEEEEEEEEEEEEEEE
+FFFFFFFFFFFRRRRRRVRKKKKKKKKKKSSSSSSSSZZZZZZZRRVVVVZZFFVVVFFWWWWWWWVVVJJJJJJJJJJJJJNNNNNWWWWWLWWWWYYYYYYYYIIIIIIIIIOBBVVVVVVVVVEEEEEEEEEEEEEE
+FFFFFFFPPPRRRRRRRRRRKKKKKKKKKSSSSSSSSSZZZZZZRRVVVVVZZZVVVVVWWWWWWVVVJJJJJJJJJJJJJJJJNNNNWWWWWLLWLLLLLLYIIIIIIIIIIMMBBVVVVVJJJJJEEEEEEEEEEEEE
+FFFFFFFPPPRRRRRRRRKKKKKKKKKKKKSSSSSSSSHZZZZZRVVVVVVVVVVVVVVVVVVVVVVVVVJJJJJJJJJJJJJJJNNNNNWWWWLLLLLLLLIIIIBIIIIIMMMMBVVVJJJJJJJJEEEEEEEEEQED
+FFFFFFRPPPRRRRRRRRRKKKKKKKKKKHHSHSHHLLBXZBRRRRRVVVVVVVVVVVVVVVVVUVVVVJJJJJJJJJJJJJJJNNNNNWWWWWLLLLLLLLIIIBBBIIIIMMMMBVVJJJJJJJJJJJEEEEEEEEED
+FEFFFFRPPPRRRRRRRRRKKKKKKKKAHHLHHHHHBLBBBBRRRRVVVVVVVVUUVUUUUUUUUUBBBBBJJJJJJJJJJNNNNNNNNWWWLLLLLLBLBBBSSBBBBBIIMMMMMVFJJJJJJJJJJJJJEEEEEEEE
+EEBBBFRPPPRRRRRRRRRRHKKKJKKJJHHHHHHHBBBBBBRRVRRVVVVVVUUUVVUUUUUUUUUEBBBBBBJJBBBNNNNNNNNZNWWWLLLLLLBLBBBBBBBBBIIIMMMMMMEAJJJJJJJJJHJJEEEEEEEE
+EEBBBBRPPPRRRRRRRRRRHHHHJKKJCHHHHHHVBBBBBBBRVVVVVVVVVUUUUUUUUUUUUUUBBBBBBBBBBBBNNNNNNNZZZWWWWLZLLLBBBBBBBBBBOOIIIIMDDMEEJJJJJJJJJJJJOJQQEQSE
+EEBLBMMPPPRRRRRRRRRRHHJJJJJJCHHHHHHVBBBBBBBVVVVVVVVVVUUUUUUUUUUUUUUBBBBBBBBBBBBNBBNNNNNZZWWWWWZZZBBBBBBBBBBOOOIIIIDDDMEDJJJJJJJJJJJJJJQQQQQH
+EEBBBBBPPPRRRRRRRRRRRHHJJJJJJHHHHHVVBBBBBBYYVVVVVVVVVUUUUUUUUUUUUUUBBBBBBBBBBBBBBBNNNZZZZZZZZZZZZBBBBBBBBOOOOOIIIODDDDEDJJJJJJJJJJJJJJQQQQQH
+EEEBBBBPPPRRRRRRRRPPPJJJJJJJJJHHHHVBBBBBBBVVVVVVVVVVVVUUUUUUUUUUUUBBBBBBBBBBBSBBBZZZZZZZZZZZZZZZZZBBBBBOGOOOOOOOOOODDDDDJJJJJJJJJJJSSQQQQQQQ
+BBBBBBBBJBRPPRRRRRPPPJPJJJJJJJJKHVVBBGGBGBGGVVVVVVVVVVVUUUUUUUUUUUBBBBBBBBBBBSBXXZZZZZZZZZZZZZZZZBBBBBBOOOOOOOOOOODDDDDDJJJJJJJJJJJQQQQQQQQQ
+KBBBBBBBBBDPPPRRRPPPPPPPPPPJJJJKHHVBBHGGGGGVVLVVVVVVVVUUUUUUUUUKKUKBBBBBBBBBSSSSSSSZZZZZZZZZZZZZZBBBBOOOOOOOOOOOOODDDDDDDDDDJJJJJJJJQQQQQQQQ
+KBBBBBBBBBDPDPRRPPPPPPPPPPPJJWJJHWBBBHHGGMGVVVVVVVVVVVVUUUUUUUUKKKKBBBBBBBBSSSSSSSSSZZZZZZZZZZZZBBBBBBOOOOOOOOOOOIOODDDDDDDDDDDDDQQQQQQQQQQQ
+BBBBBBBBBBDDDPRPPPPPPPPPPPPJPWWWWWWWHHHGMZZZZZZZZVVVVVVHKKKKKKKKKKKUEBBBBBBSSSSSSSSSZZZZZZZZZZZZBBBBBBOOOOOOOOOOOOOODDDVDDDDDDDDDDQQQQQQQQQQ
+BBBBBBBBBBDDDDDDPPPPPPPPPPPPPWWWWHHHHHHHMZZZZZZZZVVBVVVHCKKKKKKKKUUUUGGBBBSSSSSSSSSSZZZZZZZZZZZZZZOOOBOOOOOOOOOOOOOOVVVVDDDDDDDDDDDDDQQQQQQQ
+BBBBBBBBBDDDDDDDPPPPPPPPPPPPPWWWHHHHHHHMMZZZZZZZZVVVQQCCCKKKKKKKKUUUUUBBBBYYSSSSSSNZZZZZZZTZZZZZOOOOOOOOOOOOOOOOOOOVVVVZZZZDDDDDDQQDDQQQQQQQ
+BBBBBBBBBBDDDDDDDPPPPPPPPPPPWWWWHHHHHHHHHZZZZZZZZWWMMQCCCCCKKKWKUUUUUUUBBBBYYSYSSSSSZZZZZZTTTTTTTSOOOOMOXOOOOOOOOOOVVVVVZZZZDDDDDQQDQQQQQQQQ
+MBBBBBBBBJDDDDDDDDLPPPPPPPPPPPPWHHHHHHHHHZZZZZZZZMMMMCCCCKKKKKKKUUUUUUUYYYYYYYYSSSSSZZZZZTTTTTTTTOOOOOOOXOOOOOOOOOOVVVVVZZZZZZDDQQQQQQQQQQQQ
+MMJJJJJJJJJJDJJDDDLLLLLPPAQQPQQHHHHHHHHHHZZZZZZZZMMMMCCCCJKKDDDDUIUUUUUYYYYYYYYSSUUZZZZZZTTTTTTTAAOOOOOOOOOOOOOOOOBVVVSSSZZZZDDDDDDQQQQQQQQR
+MMJJJJJJJJJJJJJJJLLLLLLLPAQQPQQQQQHHHHHHHHGGMMMMMMMMMNCCCCCCDDDDFFUUUUUYFFYYYYYYSZUZZZZZTTXTTJJJJJOOOOOOOOOOOOOOOBBVVVSSSSZZDDDEEDEQQQQQQQQR
+MMJJJJJJJJJJJJJJJJJJLLLLPAQQQQQQQQHHHHVVVHGGMMMMMMMMMMMCCCCCDDDDDFFFUUFYFFYYYYYZYZZZZZZZZZJJJJJJJOOOOOOODLOOLLROOBBBVVSVVSSSEEEEEEEQQQQRQRRR
+MMJJJJJJYJJJJJJJJJLLLLLLQAQQQQQQQQHVVHVVVGGGGMMMMMMMMMMMNCCCWDDWDFFFUFFYFFYYYYYZZZZZZZZZZZJJJJJJJOOOOOOOLLLLLLLOBBBVVVVVSSSSEEEEEEEQQQQRRRRR
+MMMJJJJJJJJJJJJJJLLLLLLLQQQQQQQQVVHVVHVVVGGMMMMMMMMMMMMMMNCSWDDWWFFFFFFFFFFYYYYZZZZZZZZZZZZYYYYJJOOOOOOLLLLLLLLLLVVVVVVYESSSSEEEEEEEFERRRRRR
+MMJJJJJJJJJJJJJJJLLLLLQQQQQQQQQQVVVVVVVVVVVMMMMMMMMMMMMMMMCSWWWWWFFFFFFFFFFYYYZZZZZZZZZZZJAYYYYJJJOOOOALQLLLLLLLKVVVVVVYEEEEEEEEEEEEEERRRRRR
+MMGGJJJJSSJJJLJLJLLLLLLQQQQQQQQQQQVVVVVVVVVVMMMMMMMMMMMMMWSSWWWWWFFFFFFFFFFYYYZZZZZZZZZZZJJYYYYJJBOOOOOOSSLLLLLKKVVVVVVEEEEEEEEEEEEEEAERRRRR
+MMGGJJSSSSSJJLLLLLLLLLLQQQQQQQQQQVVVVVVVVVVVMMMMMMMMMMMMMWWWWWWWWFFFFFFFFFFFYYYZZZZZZZZZZZYYYYYJJJWOOOCCSSLLLELKKKVVVVVEEEEEEEEEEEEEEEERRRRR
+MMGGJSSLLSLLJLLLLLLLLLLQQQQQQQVVVVVVVVVVVVVVVJJMMMMMMMMWWWWWWWWWWFFFFFFFFFYFYYYYZZZZZZZZZZYYYYYJJJJSSSSCSSSLLEEVVVVVVVVVEEEEEEEEEEEEEEERRRRR
+MMMMSSSLLLLLJLLBLLLLLQLQQQQQQVVVVVVVVVIVVVVZZJJMMMMMMMWWWWWWWWWWFFFFFFFFFYYYYYYYZZZZZZZZZZYYYYYJJJSSSSSSSSSSEEEVVVVVVVVVEEEEEEEEEEEEEEEERRRR
+SSSMSLLLLLLLLLBBBLLLLQFFFFFFFFFVVVVVVVIVVVZZJJJJJMMMMMMMWWWWWWWWFFFFFFFFFFFYYYYYZZZZZZZZZZYYYYYJRJSSSSSSSSSSSRRRRRRRRVVVVWEEEEEEEEEEEEERRRRR
+SSSSSSLLLLLLBBBBBBBBBBFFFFFFFFFVVVVVVVIIIIZZJJJJMMMMMMMMWWWWWWWWFFFFFFFFFFFYYYYYYYFFWZZZZLYYYYYJRRSSSSSSSSSSSRRRRRRRRVVVWWEETEEEEEEEGEEERRRR
+SSSSSLLLLLLLLBBBBBBBBBFFFFFFFFFVVVVVIVIIIZZZJJJJXXXXWMMMWWWWWWWWAFFFFFFFFFFFVVYYVVFFFFFLLLYYYYYJRRSSSSSSSSSSSRRRRRRRRVVVVEEIEEEEIEEEEERRRRRR
+SYYSSLLLLLLLBBBBBBBBBBFFFFFFFFFFFFVIIIIISZZJJJJJXXXWWMMMMWWWWWEFFFFFFFFFDFVVVVVVVAFFFFFFFLYYYYYJJSSSSSSSSSSSSRRRRRRRRVVVVIIIEEEIIEEEXERRRRRR
+SYYYSSSSLLSLBBBBBBBBBBBFFFFFFFFFFFVIIIISSSSSJJJXXXXWWWWWWWWWWXXFFFFFFFFDDDDVVVVVAAFFFFFFFFYYYYJJJSSSSSSSSSSSSRRRRRRRRNNVVVIEEEIIIIRRRRRRRRRR
+SYSSSSSSSSSSBBBBBBBBBBTFFFFFFFFFFFVIIIIIISSSSXXXXXXWWWWWWWWMWXXFFFFFFFFDDDDVVVVVVAFFFFFFFFYYYYJJJSSSSSSSSSSSSRRRRRRRRNIIIIIIIIIIIIRRRRRRRRRR
+SYSSSSSSSSSBBBBBBBBBBBTFFFFFFFFFFFIIIIIISSSXXXXXXXXXWWWWWWWMXXXMMFFFFFDDDDDVDVVVVFFFFFFFFYYYYYYJYSSSOOSSSSSSSRRRRRRRRNNIIIIIIIIIIRRRRRRRRRRR
+SSXXXSSXSSSSSUBBBBBBBTTFFFFFFFFFFFIIPPPPXSSSXXXXIXXXWWWWWMMMMMMMMFFFFDDDDDDDDVVVFFFFFFFFFYFFYYYYYYYOOOSSSSOSURRRRRRRRRRIIIIIIIIIIIRRRRRRRWRW
+SSSXXXXXSSSSUUBBBBBBBTTTTTFFFFFFFFAPPPPLLLLLLLLLIIWWWWWWMMMMMMMMMMFMMDDDDDDDDDDQQFFFFFFFFFFYYYYYOOOOOOOOOOOUUUGGGGRRRRRNLIIIILIIIIRGWRRRWWWW
+SSSXXXXXSSSUUUUBBBBBBTTTTTTTBBBBBAAAPPPLLLLLLLLLIIIWWWWWIIIMMMMMMMMMMDDDDDDDDDDQZFFFFFFFFFFYYYYYOOOOOOOOOOOUUGGGGDRRRRRNLLLLLLIIIIGGWWWWWWWW
+SSSXXXXXSSSUUUUBBBBTTTTTTTTTBBBBBAAFFFFLLLLLLLLLIIIIIIIIIIIMMMMMMMMMMDDDDDDDQQQQQQFFFFFFQFFYYYBBBOOOOOOOOOUUGGGGGDRRRRRNNLLLLLLLIIGGGWWWWGWW
+SSXXXXXXSSSUUUUUBBBTTTTTTTTTTRRBBBABFFFLLLLLLLLLIIIIIIIIIIIMLMMMMMMMMDDDDDDDQQQQQQFFFFQQQFQYQBBBBOOOOOOOOOOOOGGGGDRRRRROLLLLLLLLLIGGGWWWGGWW
+XXXXXXXXSSUUUUUUUUUGGTTTTTTTTRRRRBBBFFFLLLLLLLLLIIIIIIIIILLLLLMMMMMMMDDDDQDDDDQQQQFQFFQQQQQQQQBBBOOOOOOOOTTYGGGGOORRRRROOLLLLLLLLGGGGGGGGGGG
+XXXXXXXXSXUUUUUUUUUGGTTTTTTTTRRRBBBBFFFLLLLLLLLLIIIIIIIIIILLLLMMMMMMMDDVDQQQDQQQQQQQFQQQQQQQQQBBOOOOOPOJJYYYGGGGGORRRRROOLLLLLLLLLGGGGGGGGGG
+XXXXXXXXXXUUUUUUGGGGGTTTTTTTRRRRRBBBBFFFFFFFFFFFIIIIIIILLLLLVLLLLMLMVVVVVFQQQQQQQQQQQQQQQQQQQQBBOOOOOOOJJJYYYYGYGOOOOOOOOOOLLLLLLIGGGGGGGGGG
+XXXXXXXXXUUUUUUUUGNNGGTTTTTTTTKRBBBBBBFFFFFFFFFIIIIIIIIIVLLLVVLLLLLLVVVVVFFQQQQQQQQQQQQQQQQBQBBBOOOOOOJJJJYYYYYYGOOOOOOOOOOLLGGGGGGGGGGGGGGG
+XXXXXXXXXUUUUUUUGGNNGGTTTTTTTTTRBBBBBBFFFFFFFFFIFFIIIRRRVVVVVVVLVVLLVVVVFFFQSQQQQQQQQQQQQQQBBBBBBBOOOJJJJJYYYYYYGGGOOOOOOOLLLLGGGGGGGGGGGGGG
+XXXXXXXXXXXUUUUUUNNNNTTTTTTTTTTBBBBBBBBRFFFFFFFFFFFIIRRRVAVVVVVLVVVVVVVFFFFFQQQQQQQQQQQNQZQBBBBBBBOOOJJJJJYYYYYYYGOOOOOOOOOLLLGGGGGGGGGGGGGG
+XXXXXXXXXXXUUUUNNNNNNNTTTTTTTTTTTBRRRRRRFFFFFFFFFRRRRRRRVVVVVZZVVVVVVVVVVFFFFFQQQQQQQQQQQQBBBBBBBBOOOJJJJJYYSYYYYGGOOOOOWOOLLLGGKGGGGGGGGGGG
+XXXXXXXXXXXXUUUNNNNNNTTTWTTHHHTTHRRRRRRRFFFFFFFFFRRRRRRRVVVVVVZZVVVVVVVVVFFFFFFQQQQQUQQBBBBBBBBBBBORBQQQQQQQYYGGYGGOOOOOWOOLLLLGGGGGGGGGGGGG
+XXXXXXXXXXXXUUNNNNNNNNTWWTTHHHHHHHRRRRRRRRRRRRRRRRRRRRRRRVVVOVVVVVVVVVVVVVFFFFFFFFFQBBBBBBBBBBBBBBBBBWWQQQQQYGGGGGOOOOOOOOOLLLLGGGGGGGGGGGGG
+XXXXXXXXXXXUUUUNNNNNNNNNWWTTHHHHHHRRRRRRRRRRRRRRRRRRRRRRRVOOOOVVVVVVVVBBVVFFFFFFFFFFBBBBBBBBBBBBBBBBBWQQQQQQYGGGGGOOOPPPOLLLLLLLLGGGGGGGGGGG