結果

問題 No.5008 [Cherry Alpha] Discrete Pendulum with Air Resistance
ユーザー 👑 KazunKazun
提出日時 2022-10-14 22:32:12
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 1,926 ms / 2,000 ms
コード長 3,808 bytes
コンパイル時間 239 ms
実行使用メモリ 87,140 KB
スコア 1,082,053,514,396,406
最終ジャッジ日時 2022-10-14 22:34:00
合計ジャッジ時間 105,949 ms
ジャッジサーバーID
(参考情報)
judge14 / judge12
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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 1,913 ms
86,052 KB
testcase_01 AC 1,913 ms
85,364 KB
testcase_02 AC 1,926 ms
85,912 KB
testcase_03 AC 1,914 ms
85,848 KB
testcase_04 AC 1,913 ms
85,424 KB
testcase_05 AC 1,920 ms
86,004 KB
testcase_06 AC 1,913 ms
85,716 KB
testcase_07 AC 1,914 ms
85,608 KB
testcase_08 AC 1,919 ms
85,948 KB
testcase_09 AC 1,912 ms
86,152 KB
testcase_10 AC 1,914 ms
85,824 KB
testcase_11 AC 1,924 ms
86,256 KB
testcase_12 AC 1,913 ms
85,576 KB
testcase_13 AC 1,912 ms
85,700 KB
testcase_14 AC 1,919 ms
85,788 KB
testcase_15 AC 1,910 ms
86,252 KB
testcase_16 AC 1,916 ms
86,000 KB
testcase_17 AC 1,914 ms
85,644 KB
testcase_18 AC 1,915 ms
86,732 KB
testcase_19 AC 1,916 ms
86,448 KB
testcase_20 AC 1,914 ms
85,656 KB
testcase_21 AC 1,913 ms
85,864 KB
testcase_22 AC 1,917 ms
86,880 KB
testcase_23 AC 1,923 ms
85,764 KB
testcase_24 AC 1,915 ms
86,416 KB
testcase_25 AC 1,918 ms
85,348 KB
testcase_26 AC 1,916 ms
86,556 KB
testcase_27 AC 1,915 ms
86,528 KB
testcase_28 AC 1,918 ms
85,724 KB
testcase_29 AC 1,916 ms
85,596 KB
testcase_30 AC 1,917 ms
86,084 KB
testcase_31 AC 1,915 ms
86,296 KB
testcase_32 AC 1,915 ms
86,372 KB
testcase_33 AC 1,919 ms
85,900 KB
testcase_34 AC 1,917 ms
85,928 KB
testcase_35 AC 1,918 ms
86,004 KB
testcase_36 AC 1,921 ms
86,396 KB
testcase_37 AC 1,919 ms
86,168 KB
testcase_38 AC 1,917 ms
86,080 KB
testcase_39 AC 1,916 ms
86,020 KB
testcase_40 AC 1,917 ms
85,900 KB
testcase_41 AC 1,920 ms
85,704 KB
testcase_42 AC 1,922 ms
85,912 KB
testcase_43 AC 1,915 ms
86,056 KB
testcase_44 AC 1,914 ms
85,540 KB
testcase_45 AC 1,914 ms
87,140 KB
testcase_46 AC 1,917 ms
86,236 KB
testcase_47 AC 1,917 ms
86,008 KB
testcase_48 AC 1,915 ms
85,496 KB
testcase_49 AC 1,922 ms
85,728 KB
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ソースコード

diff #

""" Note

"""

#==================================================
# 関数部

def General_Binary_Increase_Search_Integer(L, R, cond, default=None):
    """ 条件式が単調増加であるとき, 整数上で二部探索を行う.

    L: 解の下限
    R: 解の上限
    cond: 条件(1変数関数, 広義単調増加を満たす)
    default: Lで条件を満たさないときの返り値
    """

    if not(cond(R)):
        return default

    if cond(L):
        return L

    R+=1
    while R-L>1:
        C=L+(R-L)//2
        if cond(C):
            R=C
        else:
            L=C
    return R

def move(start,direction,time):
    return start+direction*time

def position(B,M,E,T):
    if E==0:
        M=B
        E=1

    H=(B-M)//E
    F=2*B*H-E*H*H

    if T<B:
        return T

    T-=B
    if T<F:
        check=lambda p:T<2*p*B-p*p*E
        p=General_Binary_Increase_Search_Integer(1,H,check,None)

        direction=pow(-1,p)
        start=pow(-1,p-1)*(B-(p-1)*E)
        return move(start,direction,T-(2*(p-1)*B-pow(p-1,2)*E))

    T-=F
    if T<(B-H*E)+M:
        direction=pow(-1,H+1)
        start=pow(-1,H)*(B-H*E)
        return move(start,direction,T)

    if M>0:
        T-=(B-H*E)+M
        q,r=divmod(T,2*M)

        direction=pow(-1,H+2+q)
        start=pow(-1,H+1+q)*M
        return move(start,direction,r)
    else:
        return 0

def score_confrontation(B,M,E,mode=False):
    X=[[0]*N for _ in range(K)]

    C1=0
    coef=(2*pow(10,7))/(N*(N-1))
    for j in range(K):
        for i in range(N):
            X[j][i]=position(B[i], M[i], E[i], T[j])

        R=0
        for i in range(N):
            for k in range(i+1, N):
                R+=abs(X[j][i]-X[j][k])/(B[i]+B[k])
        C1+=round(coef*R)
    C=round(C1/N)

    if mode:
        return C, X
    else:
        return C

def score_cooperation(B,M,E,mode=False):
    Y=[[0]*N for _ in range(K)]

    C2=0
    for j in range(K):
        for i in range(N):
            Y[j][i]=position(B[i],M[i],E[i],U[j])
        R=max(Y[j])-min(Y[j])
        C2+=round(pow(10,7)/sqrt(R/20+1))
    C=round(C2/N)

    if mode:
        return C,Y
    else:
        return C

def calculate(B,M,E):
    C1=score_confrontation(B,M,E)
    C2=score_cooperation(B,M,E)
    return C1*C2

def scoring(X,Y):
    C1=0
    for j in range(K):
        R=0
        for i in range(N):
            for k in range(i+1,N):
                R+=abs(X[j][i]-X[j][k])/(B[i]+B[k])
        C1+=round((2*pow(10,7))/(N*(N-1))*R)
    C1=round(C1/N)

    C2=0
    for j in range(N):
        R=max(Y[j])-min(Y[j])
        C2+=round(pow(10,7)/sqrt(R/20+1))
    C2=round(C2/N)

    return C1*C2

def debug(*message):
    print(*message,file=sys.stderr)

#==================================================
# インポート
from time import *
from math import sqrt
from random import *
import sys

#==================================================
# 入力
N,K=map(int,input().split())
T=list(map(int,input().split()))
U=list(map(int,input().split()))

#==================================================
BEGIN_TIME=time()
TIME_LIMIT_A=1.800

#==================================================
# 初期解

best_score=-1
E=[1]*N
B=[1]*N

while time()-BEGIN_TIME<TIME_LIMIT_A:
    for i in range(N):
        rand=random()
        if rand<=0.48:
            B[i]=1
        elif rand<=0.96:
            B[i]=2
        else:
            B[i]=3

    M=[randint(1,B[i]) for i in range(N)]

    score=calculate(B,M,E)
    if best_score<score:
        best_score=score
        Best_B=B.copy()
        Best_M=M.copy()

#==================================================
for b,m,e in zip(Best_B,Best_M,E):
    print(b,m,e)

debug("Confrontation")
debug(score_confrontation(B,M,E))
debug("Cooperation")
debug(score_cooperation(B,M,E))

debug(best_score)
0