#804243 (Python3) No.673 カブトムシ

提出ソース
結果

問題	No.673 カブトムシ
ユーザー	vwxyz
提出日時	2022-10-05 01:24:44
言語	Python3 (3.12.2 + numpy 1.26.4 + scipy 1.12.0)
結果	AC
実行時間	49 ms / 2,000 ms
コード長	26,369 bytes
コンパイル時間	125 ms
コンパイル使用メモリ	16,128 KB
実行使用メモリ	14,976 KB
最終ジャッジ日時	2024-06-09 19:12:54
合計ジャッジ時間	2,340 ms
ジャッジサーバーID （参考情報）	judge2 / judge3
このコードへのチャレンジ
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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	48 ms 14,848 KB
testcase_01	AC	48 ms 14,848 KB
testcase_02	AC	47 ms 14,848 KB
testcase_03	AC	46 ms 14,848 KB
testcase_04	AC	49 ms 14,720 KB
testcase_05	AC	46 ms 14,720 KB
testcase_06	AC	49 ms 14,848 KB
testcase_07	AC	47 ms 14,848 KB
testcase_08	AC	46 ms 14,720 KB
testcase_09	AC	48 ms 14,720 KB
testcase_10	AC	48 ms 14,720 KB
testcase_11	AC	47 ms 14,976 KB
testcase_12	AC	46 ms 14,976 KB
testcase_13	AC	47 ms 14,848 KB
testcase_14	AC	48 ms 14,848 KB
testcase_15	AC	48 ms 14,848 KB
testcase_16	AC	48 ms 14,848 KB
testcase_17	AC	47 ms 14,848 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

raw source code
import bisect
import copy
import decimal
import fractions
import heapq
import itertools
import math
import random
import sys
import time
from collections import Counter,deque,defaultdict
from functools import lru_cache,reduce
from heapq import heappush,heappop,heapify,heappushpop,_heappop_max,_heapify_max
def _heappush_max(heap,item):
    heap.append(item)
    heapq._siftdown_max(heap, 0, len(heap)-1)
def _heappushpop_max(heap, item):
    if heap and item < heap[0]:
        item, heap[0] = heap[0], item
        heapq._siftup_max(heap, 0)
    return item
from math import gcd as GCD
read=sys.stdin.read
readline=sys.stdin.readline
readlines=sys.stdin.readlines
write=sys.stdout.write

def Extended_Euclid(n,m):
    stack=[]
    while m:
        stack.append((n,m))
        n,m=m,n%m
    if n>=0:
        x,y=1,0
    else:
        x,y=-1,0
    for i in range(len(stack)-1,-1,-1):
        n,m=stack[i]
        x,y=y,x-(n//m)*y
    return x,y

class MOD:
    def __init__(self,p,e=None):
        self.p=p
        self.e=e
        if self.e==None:
            self.mod=self.p
        else:
            self.mod=self.p**self.e

    def Pow(self,a,n):
        a%=self.mod
        if n>=0:
            return pow(a,n,self.mod)
        else:
            assert math.gcd(a,self.mod)==1
            x=Extended_Euclid(a,self.mod)[0]
            return pow(x,-n,self.mod)

    def Build_Fact(self,N):
        assert N>=0
        self.factorial=[1]
        if self.e==None:
            for i in range(1,N+1):
                self.factorial.append(self.factorial[-1]*i%self.mod)
        else:
            self.cnt=[0]*(N+1)
            for i in range(1,N+1):
                self.cnt[i]=self.cnt[i-1]
                ii=i
                while ii%self.p==0:
                    ii//=self.p
                    self.cnt[i]+=1
                self.factorial.append(self.factorial[-1]*ii%self.mod)
        self.factorial_inve=[None]*(N+1)
        self.factorial_inve[-1]=self.Pow(self.factorial[-1],-1)
        for i in range(N-1,-1,-1):
            ii=i+1
            while ii%self.p==0:
                ii//=self.p
            self.factorial_inve[i]=(self.factorial_inve[i+1]*ii)%self.mod

    def Fact(self,N):
        if N<0:
            return 0
        retu=self.factorial[N]
        if self.e!=None and self.cnt[N]:
            retu*=pow(self.p,self.cnt[N],self.mod)%self.mod
            retu%=self.mod
        return retu

    def Fact_Inve(self,N):
        if self.e!=None and self.cnt[N]:
            return None
        return self.factorial_inve[N]

    def Comb(self,N,K,divisible_count=False):
        if K<0 or K>N:
            return 0
        retu=self.factorial[N]*self.factorial_inve[K]%self.mod*self.factorial_inve[N-K]%self.mod
        if self.e!=None:
            cnt=self.cnt[N]-self.cnt[N-K]-self.cnt[K]
            if divisible_count:
                return retu,cnt
            else:
                retu*=pow(self.p,cnt,self.mod)
                retu%=self.mod
        return retu

class Matrix:
    def __init__(self,H=0,W=0,matrix=False,eps=0,mod=0,identity=0):
        if identity:
            if H:
                self.H=H
                self.W=H
            else:
                self.H=W
                self.W=W
            self.matrix=[[0]*self.W for i in range(self.H)]
            for i in range(self.H):
                self.matrix[i][i]=identity
        elif matrix:
            self.matrix=matrix
            self.H=len(self.matrix)
            self.W=len(self.matrix[0]) if self.matrix else 0
        else:
            self.H=H
            self.W=W
            self.matrix=[[0]*self.W for i in range(self.H)]
        self.mod=mod
        self.eps=eps

    def __eq__(self,other):
        if type(other)!=Matrix:
            return False
        if self.H!=other.H:
            return False
        if self.mod:
            for i in range(self.H):
                for j in range(self.W):
                    if self.matrix[i][j]%self.mod!=other.matrix[i][j]%self.mod:
                        return False
        else:
            for i in range(self.H):
                for j in range(self.W):
                    if self.eps<abs(self.matrix[i][j]-other.matrix[i][j]):
                        return False
        return True

    def __ne__(self,other):
        if type(other)!=Matrix:
            return True
        if self.H!=other.H:
            return True
        if self.mod:
            for i in range(self.H):
                for j in range(self.W):
                    if self.matrix[i][j]%self.mod!=other.matrix[i][j]%self.mod:
                        return True
        else:
            for i in range(self.H):
                for j in range(self.W):
                    if self.eps<abs(self.matrix[i][j]-other.matrix[i][j]):
                        return True
        return False

    def __add__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            if self.mod:
                summ=Matrix(matrix=[[(self.matrix[i][j]+other.matrix[i][j])%self.mod for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                summ=Matrix(matrix=[[self.matrix[i][j]+other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            if self.mod:
                summ=Matrix(matrix=[[(self.matrix[i][j]+other)%self.mod for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                summ=Matrix(matrix=[[self.matrix[i][j]+other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return summ

    def __sub__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            if self.mod:
                diff=Matrix(matrix=[[(self.matrix[i][j]-other.matrix[i][j])%self.mod for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                diff=Matrix(matrix=[[self.matrix[i][j]-other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            if self.mod:
                diff=Matrix(matrix=[[(self.matrix[i][j]-other)%self.mod for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                diff=Matrix(matrix=[[self.matrix[i][j]-other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return diff

    def __mul__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            if self.mod:
                prod=Matrix(matrix=[[(self.matrix[i][j]*other.matrix[i][j])%self.mod for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                prod=Matrix(matrix=[[self.matrix[i][j]*other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            if self.mod:
                prod=Matrix(matrix=[[(self.matrix[i][j]*other)%self.mod for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                prod=Matrix(matrix=[[self.matrix[i][j]*other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return prod

    def __matmul__(self,other):
        if type(other)==Matrix:
            assert self.W==other.H
            prod=Matrix(H=self.H,W=other.W,eps=self.eps,mod=self.mod)
            for i in range(self.H):
                for j in range(other.W):
                    for k in range(self.W):
                        prod.matrix[i][j]+=self.matrix[i][k]*other.matrix[k][j]
                        if self.mod:
                            prod.matrix[i][j]%=self.mod
        elif type(other)==int:
            assert self.H==self.W
            if other==0:
                prod=Matrix(H=self.H,eps=self.eps,mod=self.mod,identity=1)
            elif other==1:
                prod=Matrix(matrix=[[self.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                prod=Matrix(H=self.H,eps=self.eps,mod=self.mod,identity=1)
                doub=Matrix(matrix=[[self.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
                while other>=2:
                    if other&1:
                        prod@=doub
                    doub@=doub
                    other>>=1
                prod@=doub
        return prod

    def __truediv__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            if self.mod:
                quot=Matrix(matrix=[[(self.matrix[i][j]*MOD(self.mod).Pow(other.matrix[i][j],-1))%self.mod for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                quot=Matrix(matrix=[[self.matrix[i][j]/other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            if self.mod:
                inve=MOD(self.mod).Pow(other,-1)
                quot=Matrix(matrix=[[(self.matrix[i][j]*inve)%self.mod for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                quot=Matrix(matrix=[[self.matrix[i][j]/other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return quot

    def __floordiv__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            quot=Matrix(matrix=[[self.matrix[i][j]//other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            quot=Matrix(matrix=[[self.matrix[i][j]//other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return quot

    def __mod__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            rema=Matrix(matrix=[[self.matrix[i][j]%other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            rema=Matrix(matrix=[[self.matrix[i][j]%other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return rema

    def __pow__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            if self.mod:
                powe=Matrix(matrix=[[pow(self.matrix[i][j],other.matrix[i][j],self.mod) for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                powe=Matrix(matrix=[[pow(self.matrix[i][j],other.matrix[i][j]) for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            if self.mod:
                powe=Matrix(matrix=[[pow(self.matrix[i][j],other,self.mod) for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                powe=Matrix(matrix=[[pow(self.matrix[i][j],other) for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return powe

    def __lshift__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            lshi=Matrix(matrix=[[self.matrix[i][j]<<other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            lshi=Matrix(matrix=[[self.matrix[i][j]<<other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return lshi

    def __rshift__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            rshi=Matrix(matrix=[[self.matrix[i][j]>>other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            rshi=Matrix(matrix=[[self.matrix[i][j]>>other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return rshi

    def __and__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            conj=Matrix(matrix=[[self.matrix[i][j]&other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            conj=Matrix(matrix=[[self.matrix[i][j]&other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return conj

    def __or__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            disj=Matrix(matrix=[[self.matrix[i][j]|other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            disj=Matrix(matrix=[[self.matrix[i][j]|other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return disj

    def __xor__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            excl=Matrix(matrix=[[self.matrix[i][j]^other.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            excl=Matrix(matrix=[[self.matrix[i][j]^other for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return excl

    def __iadd__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]+=other.matrix[i][j]
                    if self.mod:
                        self.matrix[i][j]%=self.mod
        else:
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]+=other
                    if self.mod:
                        self.matrix[i][j]%=self.mod
        return self

    def __isub__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]-=other.matrix[i][j]
                    if self.mod:
                        self.matrix[i][j]%=self.mod
        else:
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]-=other
                    if self.mod:
                        self.matrix[i][j]%=self.mod
        return self

    def __imul__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]*=other.matrix[i][j]
                    if self.mod:
                        self.matrix[i][j]%=self.mod
        else:
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]*=other
                    if self.mod:
                        self.matrix[i][j]%=self.mod
        return self

    def __imatmul__(self,other):
        if type(other)==Matrix:
            assert self.W==other.H
            prod=Matrix(H=self.H,W=other.W,eps=self.eps,mod=self.mod)
            for i in range(self.H):
                for j in range(other.W):
                    for k in range(self.W):
                        prod.matrix[i][j]+=self.matrix[i][k]*other.matrix[k][j]
                        if self.mod:
                            prod.matrix[i][j]%=self.mod
        elif type(other)==int:
            assert self.H==self.W
            if other==0:
                return Matrix(H=self.H,eps=self.eps,mod=self.mod,identity=1)
            elif other==1:
                prod=Matrix(matrix=[[self.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
            else:
                prod=Matrix(H=self.H,eps=self.eps,mod=self.mod,identity=1)
                doub=self
                while other>=2:
                    if other&1:
                        prod@=doub
                    doub@=doub
                    other>>=1
                prod@=doub
        return prod

    def __itruediv__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    if self.mod:
                        self.matrix[i][j]=self.matrix[i][j]*MOD(self.mod).Pow(other.matrix[i][j],-1)%self.mod
                    else:
                        self.matrix[i][j]/=other.matrix[i][j]
        else:
            if self.mod:
                inve=MOD(self.mod).Pow(other,-1)
            for i in range(self.H):
                for j in range(self.W):
                    if self.mod:
                        self.matrix[i][j]=self.matrix[i][j]*inve%self.mod
                    else:
                        self.matrix[i][j]/=other
        return self

    def __ifloordiv__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]//=other.matrix[i][j]
        else:
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]//=other
        return self

    def __imod__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]%=other.matrix[i][j]
        else:
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]%=other
        return self

    def __ipow__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    if self.mod:
                        self.matrix[i][j]=pow(self.matrix[i][j],other.matrix[i][j],self.mod)
                    else:
                        self.matrix[i][j]=pow(self.matrix[i][j],other.matrix[i][j])
        else:
            for i in range(self.H):
                for j in range(self.W):
                    if self.mod:
                        self.matrix[i][j]=pow(self.matrix[i][j],other,self.mod)
                    else:
                        self.matrix[i][j]=pow(self.matrix[i][j],other)
        return self

    def __ilshift__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]<<=other.matrix[i][j]
        else:
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]<<=other
        return self

    def __irshift__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]>>=other.matrix[i][j]
        else:
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]>>=other
        return self

    def __iand__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]&=other.matrix[i][j]
        else:
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]&=other
        return self

    def __ior__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]|=other.matrix[i][j]
        else:
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]|=other
        return self

    def __ixor__(self,other):
        if type(other)==Matrix:
            assert self.H==other.H
            assert self.W==other.W
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]^=other.matrix[i][j]
        else:
            for i in range(self.H):
                for j in range(self.W):
                    self.matrix[i][j]^=other
        return self

    def __neg__(self):
        if self.mod:
            nega=Matrix(matrix=[[(-self.matrix[i][j])%self.mod for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        else:
            nega=Matrix(matrix=[[-self.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return nega

    def __pos__(self):
        posi=Matrix(matrix=[[self.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return posi

    def __invert__(self):
        inve=Matrix(matrix=[[~self.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return inve

    def __abs__(self):
        abso=Matrix(matrix=[[abs(self.matrix[i][j]) for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        return abso

    def __getitem__(self,i):
        if type(i)==int:
            return self.matrix[i]
        elif type(i)==tuple:
            i,j=i
            if type(i)==int:
                i=slice(i,i+1)
            if type(j)==int:
                j=slice(j,j+1)
            return Matrix(matrix=[lst[j] for lst in self.matrix[i]],eps=self.eps,mod=self.mod)

    def __contains__(self,x):
        for i in range(self.H):
            if x in self.matrix[i]:
                return True
        return False

    def __str__(self):
        digit=[max(len(str(self.matrix[i][j])) for i in range(self.H)) for j in range(self.W)]
        return "\n".join([(" [" if i else "[[")+", ".join([str(self.matrix[i][j]).rjust(digit[j]," ") for j in range(self.W)])+"]" for i in range(self.H)])+"]"

    def __bool__(self):
        return True

    def Transpose(self):
        return Matrix(matrix=[[self.matrix[i][j] for i in range(self.H)] for j in range(self.W)])

    def Trace(self):
        assert self.H==self.W
        trace=sum(self.matrix[i][i] for i in range(self.H))
        if self.mod:
            trace%=self.mod
        return trace

    def Elem_Raw_Operate_1(self,i1,i2):
        self.matrix[i1],self.matrix[i2]=self.matrix[i2],self.matrix[i1]

    def Elem_Raw_Operate_2(self,i,c):
        if self.mod:
            self.matrix[i]=[self.matrix[i][j]*c%self.mod for j in range(self.W)]
        else:
            self.matrix[i]=[self.matrix[i][j]*c for j in range(self.W)]

    def Elem_Raw_Operate_3(self,i1,i2,c):
        if self.mod:
            self.matrix[i1]=[(self.matrix[i1][j]+c*self.matrix[i2][j])%self.mod for j in range(self.W)]
        else:
            self.matrix[i1]=[self.matrix[i1][j]+c*self.matrix[i2][j] for j in range(self.W)]

    def Elimination(self,determinant=False,inverse_matrix=False,linear_equation=False,rank=False,upper_triangular=False):
        h=0
        ut=Matrix(matrix=[[self.matrix[i][j] for j in range(self.W)] for i in range(self.H)],eps=self.eps,mod=self.mod)
        if determinant or inverse_matrix:
            assert self.H==self.W
            det=1
        if inverse_matrix:
            assert self.H==self.W
            im=Matrix(H=self.H,eps=self.eps,mod=self.mod,identity=1)
        if linear_equation:
            assert self.H==linear_equation.H
            le=Matrix(matrix=[[linear_equation.matrix[i][j] for j in range(linear_equation.W)] for i in range(linear_equation.H)],eps=self.eps,mod=self.mod)
        for j in range(ut.W):
            for i in range(h,ut.H):
                if abs(ut.matrix[i][j])>ut.eps:
                    if determinant or inverse_matrix:
                        det*=ut.matrix[i][j]
                        if self.mod:
                            det%=self.mod
                    if self.mod:
                        inve=MOD(self.mod).Pow(ut.matrix[i][j],-1)
                    else:
                        inve=1/ut.matrix[i][j]

                    ut.Elem_Raw_Operate_1(i,h)
                    if determinant and i!=h and self.mod:
                        det=(-det)%self.mod
                    if inverse_matrix:
                        im.Elem_Raw_Operate_1(i,h)
                    if linear_equation:
                        le.Elem_Raw_Operate_1(i,h)

                    ut.Elem_Raw_Operate_2(h,inve)
                    if inverse_matrix:
                        im.Elem_Raw_Operate_2(h,inve)
                    if linear_equation:
                        le.Elem_Raw_Operate_2(h,inve)

                    for ii in range(ut.H):
                        if ii==h:
                            continue
                        x=-ut.matrix[ii][j]
                        ut.Elem_Raw_Operate_3(ii,h,x)
                        if inverse_matrix:
                            im.Elem_Raw_Operate_3(ii,h,x)
                        if linear_equation:
                            le.Elem_Raw_Operate_3(ii,h,x)
                    h+=1
                    break
            else:
                det=0
        tpl=()
        if determinant:
            tpl+=(det,)
        if inverse_matrix:
            if det==0:
                im=False
            tpl+=(im,)
        if linear_equation:
            tpl+=(le,)
        if rank:
            tpl+=(h,)
        if upper_triangular:
            tpl+=(ut,)
        if len(tpl)==1:
            tpl=tpl[0]
        return tpl

def Arithmetic_Sequence_Sum(N,first_term,common_ratio,mod):
    return first_term*(Matrix(matrix=[[common_ratio,1],[0,1]],mod=mod)@N)[0][1]%mod

B,C,D=map(int,readline().split())
mod=10**9+7
ans=B*Arithmetic_Sequence_Sum(D,C,C,mod)%mod
print(ans)
yukicoder

結果

テストケース

ソースコード
