結果

問題 No.1105 Many Triplets
ユーザー KeroruKeroru
提出日時 2020-07-13 03:25:09
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 173 ms / 2,000 ms
コード長 7,230 bytes
コンパイル時間 331 ms
コンパイル使用メモリ 82,048 KB
実行使用メモリ 92,416 KB
最終ジャッジ日時 2024-11-06 17:28:40
合計ジャッジ時間 6,357 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge5
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 163 ms
92,032 KB
testcase_01 AC 155 ms
92,032 KB
testcase_02 AC 156 ms
91,776 KB
testcase_03 AC 157 ms
92,032 KB
testcase_04 AC 156 ms
91,776 KB
testcase_05 AC 157 ms
91,776 KB
testcase_06 AC 154 ms
91,904 KB
testcase_07 AC 153 ms
91,776 KB
testcase_08 AC 154 ms
91,904 KB
testcase_09 AC 159 ms
92,032 KB
testcase_10 AC 163 ms
92,160 KB
testcase_11 AC 162 ms
92,288 KB
testcase_12 AC 161 ms
92,288 KB
testcase_13 AC 164 ms
92,160 KB
testcase_14 AC 173 ms
92,160 KB
testcase_15 AC 159 ms
92,160 KB
testcase_16 AC 159 ms
92,032 KB
testcase_17 AC 161 ms
92,416 KB
testcase_18 AC 160 ms
92,288 KB
testcase_19 AC 161 ms
92,416 KB
testcase_20 AC 154 ms
91,776 KB
testcase_21 AC 155 ms
92,032 KB
testcase_22 AC 155 ms
91,904 KB
testcase_23 AC 152 ms
91,776 KB
testcase_24 AC 158 ms
92,012 KB
testcase_25 AC 159 ms
92,056 KB
testcase_26 AC 157 ms
92,032 KB
testcase_27 AC 160 ms
92,032 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

import sys,bisect,string,math,time,functools,random,fractions
from heapq import heappush,heappop,heapify
from collections import deque,defaultdict,Counter
from itertools import permutations,combinations,groupby
rep=range
def Golf():n,*t=map(int,open(0).read().split())
def I():return int(input())
def S_():return input()
def IS():return input().split()
def LS():return [i for i in input().split()]
def MI():return map(int,input().split())
def LI():return [int(i) for i in input().split()]
def LI_():return [int(i)-1 for i in input().split()]
def NI(n):return [int(input()) for i in range(n)]
def NI_(n):return [int(input())-1 for i in range(n)]
def StoLI():return [ord(i)-97 for i in input()]
def ItoS(n):return chr(n+97)
def LtoS(ls):return ''.join([chr(i+97) for i in ls])
def RA():return map(int,open(0).read().split())
def GI(V,E,ls=None,Directed=False,index=1):
    org_inp=[];g=[[] for i in R(V)]
    FromStdin=True if ls==None else False
    for i in R(E):
        if FromStdin:
            inp=LI()
            org_inp.append(inp)
        else:
            inp=ls[i]
        if len(inp)==2:
            a,b=inp;c=1
        else:
            a,b,c=inp
        if index==1:a-=1;b-=1
        aa=(a,c);bb=(b,c);g[a].append(bb)
        if not Directed:g[b].append(aa)
    return g,org_inp
def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0},boundary=1):
    #h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0},boundary=1) # sample usage
    mp=[boundary]*(w+2);found={}
    for i in R(h):
        s=input()
        for char in search:
            if char in s:
                found[char]=((i+1)*(w+2)+s.index(char)+1)
                mp_def[char]=mp_def[replacement_of_found]
        mp+=[boundary]+[mp_def[j] for j in s]+[boundary]
    mp+=[boundary]*(w+2)
    return h+2,w+2,mp,found
def TI(n):return GI(n,n-1)
def accum(ls):
    rt=[0]
    for i in ls:rt+=[rt[-1]+i]
    return rt
def bit_combination(n,base=2):
    rt=[]
    for tb in R(base**n):s=[tb//(base**bt)%base for bt in R(n)];rt+=[s]
    return rt
def gcd(x,y):
    if y==0:return x
    if x%y==0:return y
    while x%y!=0:x,y=y,x%y
    return y
def YN(x):print(['NO','YES'][x])
def Yn(x):print(['No','Yes'][x])
def show(*inp,end='\n'):
    if show_flg:print(*inp,end=end)

mo=10**9+7
inf=float('inf')
FourNb=[(-1,0),(1,0),(0,1),(0,-1)];EightNb=[(-1,0),(1,0),(0,1),(0,-1),(1,1),(-1,-1),(1,-1),(-1,1)];compas=dict(zip('WENS',FourNb));cursol=dict(zip('LRUD',FourNb))
l_alp=string.ascii_lowercase
#sys.setrecursionlimit(10**7)
read=sys.stdin.buffer.read;readline=sys.stdin.buffer.readline;input=lambda:sys.stdin.readline().rstrip()



class matrix:
    class MulShapeError(Exception):
        "mult is not applicable between the two matrices given"
        pass

    def __init__(self,arr_input):
        if hasattr(arr_input[0],"__getitem__"):
            self.arr=arr_input
        else:
            self.arr=[arr_input]
        self.shape=(len(self.arr),len(self.arr[0]))

    def __getitem__(self,key):
        return self.arr[key]

    def __setitem__(self,key,value):
        self.arr[key]=value

    def __iter__(self):
        return iter(self.arr)
        
    def __add__(self,B):
        if type(B)!=matrix:
            return NotImplemented
        if B.shape!=self.shape:
            return NotImplemented
        rt=[[0]*self.shape[1] for i in range(self.shape[0])]
        for i in range(self.shape[0]):
            for j in range(self.shape[1]):
                rt[i][j]=self.arr[i][j]+B.arr[i][j]
        return matrix(rt)

    def __iadd__(self,B):
        return self.__add__(B)

    def __sub__(self,B):
        if type(B)!=matrix:
            return NotImplemented
        if B.shape!=self.shape:
            return NotImplemented
        rt=[[0]*self.shape[1] for i in range(self.shape[0])]
        for i in range(self.shape[0]):
            for j in range(self.shape[1]):
                rt[i][j]=self.arr[i][j]-B.arr[i][j]
        return matrix(rt)

    def __isub__(self,B):
        return self.__sub__(B)

    def __mul__(self,M):
        if type(M) in [int,float,complex]:
            M=matrix([[M*(i==j) for j in range(self.shape[1])] for i in range(self.shape[1])])
        if type(M)!=matrix:
            return NotImplemented
        if M.shape[0]!=self.shape[1]:
            raise matrix.MulShapeError("mult is not applicable between the matrices of shape "+str(self.shape)+" and "+str(M.shape))
        ra,ca=self.shape
        rb,cb=M.shape
        c=[[0]*cb for i in range(ra)]
        for i in range(ra):
            for j in range(cb):
                for k in range(ca):
                    c[i][j]+=self.arr[i][k]*M.arr[k][j]
        return matrix(c)

    def __imul__(self,M):
        return self.__mul__(M)

    def __rmul__(self,M):
        if type(M) in [int,float,complex]:
            M=matrix([[M*(i==j) for j in range(self.shape[1])] for i in range(self.shape[1])])
        if type(M)!=matrix:
            return NotImplemented
        if M.shape[0]!=self.shape[1]:
            raise matrix.MulShapeError("mult is not applicable between the matrix shape "+str(self.shape)+" and "+str(M.shape))
        ra,ca=M.shape
        rb,cb=self.shape
        c=[[0]*cb for i in range(ra)]
        for i in range(ra):
            for j in range(cb):
                for k in range(ca):
                    c[i][j]+=M.arr[i][k]*self.arr[k][j]
        return matrix(c)

    def __mod__(self,p):
        if type(p)!=int:
            return NotImplemented
        c=[[0]*self.shape[1] for i in range(self.shape[0])]
        for i in range(self.shape[0]):
            for j in range(self.shape[1]):
                c[i][j]=self.arr[i][j]%p
        return matrix(c)

    def __imod__(self,p):
        return self.__mod__(p)

    def __pow__(self,p,mod=10**9+7):
        if type(p)!=int or self.shape[0]!=self.shape[1]:
            return NotImplemented
        A=matrix(self.arr)
        R=matrix([[1*(i==j) for j in range(self.shape[0])] for i in range(self.shape[0])])
        while p>0:
            if p&1:
                R*=A
                R%=mod
            A*=A
            A%=mod
            p>>=1
        return R

    def __neg__(self):
        return self.__mul__(-1)

    def __str__(self):
        rt='['
        for i in self.arr:
            rt=rt+str(i)+",\n"
        return rt[:-2]+']'

    def T(self):
        rt=[[0]*self.shape[0] for i in range(self.shape[1])]
        for i in range(self.shape[0]):
            for j in range(self.shape[1]):
                rt[j][i]=self.arr[i][j]
        return matrix(rt)

    def resize(self,new_shape,fill=0):
        t_arr=[]
        for i in self.arr:
            t_arr+=i
        t_arr.reverse()
        n,m=new_shape
        self.shape=(n,m)
        self.arr=[[fill]*m for i in range(n)]

        for i in range(self.shape[0]):
            for j in range(self.shape[1]):
                if t_arr:
                    self.arr[i][j]=t_arr.pop()
        return

    def view(self):
        for i in self.arr:
            print(i)

show_flg=False
show_flg=True


n=I()
a,b,c=LI()

x=[1,-1,0,0,1,-1,-1,0,1]

X=matrix([a,b,c])
A=matrix(x)
A.resize((3,3))
X.resize((3,1))
M=A**(n-1)*X
ans=[M[i][0]%mo for i in rep(3)]
print(*ans)
0