2020中国高校计算机大赛华为云大数据挑战赛-热身赛车流量预测前十名方案分享(附代码)

双非本科大二小白和室友第一次参加大数据的比赛,由于热身赛成绩还不错,所以记录一下。
我是一个菜鸡,而且半路接手的,很多东西说不清楚还希望大家不要怪我,或者直接看代码吧。

队伍名:SCUEC-IST
得分:75.9527
排名:8
比赛官网:中国高校计算机大赛华为云大数据挑战赛

相比于以下这两位大佬的方案,我们并没有做过多的特征工程,可以说是运气比较好而已。
75.7226大佬的方案
76.2大佬的方案
刚开始一直是我的室友在搞,那时候他上到72.14的分数还能在前50里徘徊,最后这几天被挤出50名开外,然后他去忙数模比赛,所以我来接手,又提了几分,侥幸进到前10名。
2020中国高校计算机大赛华为云大数据挑战赛-热身赛车流量预测前十名方案分享(附代码)_第1张图片

感想

之前参加过一些简单的深度学习的比赛,但是第一次做这种大数据比赛,我室友前期付出了太多(妥妥的大佬),很多代码都是他写的,不断地修改训练和推理代码才得以拿到72的高分,而我只不过是赶鸭子上架,运气好,在他的基础上提了几分,毕竟也只是热身赛,还是希望第一次参加能走进复赛前100就够了,嘻嘻嘻。
吐槽一下华为云的平台,修改推理不太方便,感觉用起来有些麻烦。

数据处理

数据可视化就不多提了,上边的大佬还有之前JerryX大佬的博客中都有。

数据方面没有过多处理,也没有使用额外的特征,参考过上边大佬的方案手动添加to_holiday特征而不使用weekday效果不增反降。还有就是剔除除5点-21点之外的数据,不知道我们是不是我们处理的问题,这个也没有提升分数。

后来多看几遍大佬的分析发现,11号是复工的第一天,而14号已经复工了好几天,节前节后是个近似对称的走向,所以11号的车流量一定是低于14号的车流量的。所以我们采用1月30号到2月3号的数据预测2月11号的车流量。由于之前室友72分的方案采用的是1月21号到2月3号的数据对11号和14号共同预测,所以说肯定预测的大部分是正确的,尝试后发现我们用1月21号到2月3号的数据预测14号的车流量得分更高。这是我们第一个提分的点。

当然这里也可以像76分大佬那样尝试一下,直接把29号的数据缩放一下当作2月14号的结果。

模型选择及训练

在完成上述简陋的数据处理之后又一个能提分数的步骤来了,就是对训练和验证数据的拉伸。多次尝试后,最终选定了以下的缩放比例。

    y_train11 = y_train11*0.9
    y_test11 = y_test11*0.9
    y_train14 = y_train14*0.56
    y_test14 = y_test14*0.56

看过上边大佬的方案就知道,其实还可以分别对早晚高峰期的进行数据拉伸。

我的室友之前尝试了XGBoost效果很不错,我也尝试过LightGBM,效果没有XGB好,然后他还尝试了三个模型简单的stacking,分数并没有提升。最后是将2月11号和2月14号的车流量进行分段预测,两段使用的模型都是XGBoost,参数用网格搜索到最优。

代码分享

由于之前在修改推理代码时候费了很多力气,所以我的室友为了方便,将推理代码移植过来直接输出预测结果,然后使用baseline的推理代码将结果直接赋值给schema[“wuhe_zhangheng”],确实这样特别方便

def _postprocess(self, result_data):
       logger.info("begin to post process")
       schema = json.loads('{"wuhe_zhangheng":[1,2,3]}')
       schema["wuhe_zhangheng"] = [15.207047462463379, 15.443249702453613, 15.443249702453613, 16.244373321533203, 17.34557342529297, 18.49083709716797, 20.19812774658203, 21.166370391845703, 21.072721481323242, 21.173810958862305, 23.879257202148438, 25.47187614440918, 26.965299606323242, 28.204662322998047, 28.204662322998047, 28.105737686157227, 33.17434310913086, 35.15061569213867, 39.712608337402344, 40.283477783203125, 49.26714324951172, 54.247528076171875, 55.3317985534668, 60.6950569152832, 73.01256561279297, 72.8297348022461, 76.6851577758789, 88.56460571289062, 102.57150268554688, 110.8530044555664, 122.65593719482422, 140.63070678710938, 170.2318572998047, 185.04074096679688, 197.76307678222656, 226.5367431640625, 234.45904541015625, 241.13853454589844, 240.90858459472656, 244.3840789794922, 244.08511352539062, 226.4928741455078, 222.75843811035156, 227.35733032226562, 196.2181854248047, 178.1373291015625, 176.26284790039062, 132.83877563476562, 131.16729736328125, 132.56771850585938, 130.87806701660156, 128.99417114257812, 118.72793579101562, 115.54484558105469, 118.05419158935547, 109.7998275756836, 104.81584930419922, 103.86338806152344, 103.57052612304688, 103.85474395751953, 104.07073211669922, 104.1855697631836, 104.1855697631836, 102.80374145507812, 102.80374145507812, 101.6090087890625, 102.16178894042969, 102.28972625732422, 102.43656921386719, 102.16862487792969, 96.46317291259766, 96.349365234375, 96.2135238647461, 96.32075500488281, 94.74223327636719, 94.9420166015625, 95.20695495605469, 95.45899963378906, 96.05055236816406, 96.07849884033203, 95.8047866821289, 94.92168426513672, 94.54647064208984, 93.9323501586914, 94.7175521850586, 93.67680358886719, 93.23164367675781, 94.51988983154297, 91.80792999267578, 91.93658447265625, 89.9596939086914, 91.68849182128906, 90.2847900390625, 87.01258087158203, 87.01258087158203, 87.9058609008789, 85.89745330810547, 85.77401733398438, 92.16915130615234, 92.41014099121094, 92.28565979003906, 93.74754333496094, 93.74754333496094, 98.24993896484375, 98.3279037475586, 100.11662292480469, 99.94872283935547, 98.46561431884766, 98.22465515136719, 98.54158020019531, 98.34583282470703, 98.49354553222656, 99.59978485107422, 99.76821899414062, 100.20701599121094, 100.04551696777344, 100.49409484863281, 96.48445129394531, 96.24999237060547, 96.12641906738281, 100.57400512695312, 100.31809997558594, 96.20270538330078, 96.71939849853516, 96.71939849853516, 97.85002899169922, 97.85002899169922, 97.97114562988281, 98.9967041015625, 98.8836898803711, 96.65047454833984, 97.92367553710938, 98.9306869506836, 104.03585052490234, 103.82074737548828, 103.82074737548828, 102.46520233154297, 104.72701263427734, 104.72701263427734, 106.52232360839844, 102.59503936767578, 102.15167236328125, 100.023681640625, 99.65782165527344, 102.86257934570312, 105.89681243896484, 105.98976135253906, 106.83637237548828, 104.0166244506836, 103.56791687011719, 135.0134735107422, 154.23110961914062, 172.08851623535156, 172.2010955810547, 142.42738342285156, 142.38143920898438, 175.2231903076172, 181.5588836669922, 182.8079833984375, 180.02993774414062, 182.34715270996094, 169.2947540283203, 166.27438354492188, 158.52816772460938, 152.91921997070312, 152.73446655273438, 148.26780700683594, 145.40753173828125, 140.7799072265625, 137.27272033691406, 123.68460083007812, 121.91605377197266, 122.414794921875, 123.6880874633789, 117.73191833496094, 117.7524642944336, 120.45954132080078, 112.30648803710938, 105.6466293334961, 106.71832275390625, 102.52182006835938, 103.65943145751953, 117.92150115966797, 103.39337158203125, 101.66100311279297, 99.4186782836914, 100.66968536376953, 107.06452941894531, 127.11637115478516, 128.89801025390625, 127.39856719970703, 131.87109375, 17.424842834472656, 19.069643020629883, 19.069643020629883, 19.498647689819336, 19.498647689819336, 19.928987503051758, 22.343942642211914, 25.054332733154297, 25.054332733154297, 25.087970733642578, 26.886642456054688, 30.261932373046875, 32.48974609375, 34.75412368774414, 36.528587341308594, 40.201934814453125, 43.97245788574219, 45.430667877197266, 57.89727020263672, 60.52613067626953, 70.62460327148438, 72.37738037109375, 72.37738037109375, 78.3035888671875, 80.83853912353516, 95.42127227783203, 95.42127227783203, 109.8873519897461, 138.1516571044922, 160.29039001464844, 180.7545928955078, 189.89967346191406, 210.6639404296875, 238.78883361816406, 255.6107940673828, 279.95758056640625, 287.4974670410156, 299.56402587890625, 292.493408203125, 301.93878173828125, 300.9828796386719, 283.6164245605469, 266.9988098144531, 266.57171630859375, 238.8557586669922, 232.97280883789062, 217.3043670654297, 175.87759399414062, 177.91004943847656, 161.1674041748047, 162.2366180419922, 162.36622619628906, 152.73886108398438, 148.6993408203125, 146.91000366210938, 143.9632568359375, 143.60177612304688, 143.86354064941406, 143.4628143310547, 142.49249267578125, 137.1497344970703, 136.29013061523438, 135.61654663085938, 132.45359802246094, 129.9159698486328, 131.31993103027344, 127.6574478149414, 125.30741119384766, 126.12969207763672, 125.81584930419922, 120.611572265625, 119.29736328125, 120.25765228271484, 120.09666442871094, 116.9252700805664, 115.58464813232422, 115.55379486083984, 115.60916137695312, 115.60916137695312, 119.14138793945312, 119.06523132324219, 116.44913482666016, 113.23793029785156, 110.72998046875, 110.56288146972656, 111.03691101074219, 107.87078094482422, 104.90604400634766, 104.079345703125, 104.1593246459961, 101.05036926269531, 101.27245330810547, 101.79296875, 97.60980224609375, 97.49910736083984, 99.70748138427734, 101.8351058959961, 103.86443328857422, 106.7153549194336, 111.31105041503906, 111.41488647460938, 119.79487609863281, 122.44445037841797, 122.94113159179688, 125.36568450927734, 126.93170928955078, 127.64022064208984, 127.02883911132812, 125.25641632080078, 126.45906829833984, 126.28959655761719, 125.72830963134766, 122.54398345947266, 119.02713775634766, 119.02713775634766, 119.02713775634766, 119.02713775634766, 118.84135437011719, 118.84135437011719, 119.34941101074219, 118.64429473876953, 118.85882568359375, 117.37513732910156, 115.21282958984375, 115.34056854248047, 121.60647583007812, 121.69700622558594, 120.14751434326172, 126.2425537109375, 126.2425537109375, 125.64908599853516, 125.64908599853516, 127.31160736083984, 127.45362091064453, 124.90206146240234, 125.57225036621094, 124.99240112304688, 123.37542724609375, 124.21338653564453, 126.20117950439453, 125.9481201171875, 127.15044403076172, 127.88619995117188, 127.78392791748047, 132.70396423339844, 145.83340454101562, 145.22621154785156, 143.37625122070312, 141.89715576171875, 141.10792541503906, 161.0580596923828, 192.00001525878906, 216.9848175048828, 230.91856384277344, 211.34890747070312, 207.17774963378906, 212.9209442138672, 213.25120544433594, 219.78981018066406, 219.85153198242188, 219.40550231933594, 206.0011444091797, 205.04298400878906, 197.0626678466797, 196.3248748779297, 188.39190673828125, 183.9621124267578, 176.6915283203125, 167.89666748046875, 167.0508270263672, 155.1290283203125, 150.68707275390625, 150.68707275390625, 155.4065399169922, 156.67530822753906, 152.01834106445312, 153.75360107421875, 148.92698669433594, 141.70217895507812, 139.82672119140625, 139.0400848388672, 141.20689392089844, 149.45152282714844, 146.26023864746094, 146.5738067626953, 145.02630615234375, 141.49441528320312, 143.46214294433594, 169.37608337402344, 169.44662475585938, 167.7608642578125, 168.50759887695312]
       logger.info("end to post process")
       return json.dumps(schema)

附上我们的代码方案:

import moxing as mox
mox.file.shift('os', 'mox')
import os
import re
import json
import pandas as pd
import numpy as np
from pandas import to_datetime
import matplotlib.pyplot as plt
from sklearn.metrics import mean_squared_error
from sklearn.model_selection import train_test_split
from sklearn.externals import joblib
from collections import OrderedDict
from sklearn.ensemble import GradientBoostingRegressor
from xgboost import XGBRegressor as XGBR
from sklearn.model_selection import train_test_split, KFold, cross_val_score as CVS
from sklearn.metrics import mean_squared_error as MSE

from sklearn.model_selection import GridSearchCV
import xgboost as xgb
s = '{"req_data":["2019-2-11,2019-2-14"]}'

OBS_DATA_PATH = "s3://new-new-new/traffic"
LOCAL_DATA_PATH = './dataset/train'
OBS_MODEL_DIR = "s3://new-new-new/modelfiles/model"
OBS_MODEL1_PATH = OBS_MODEL_DIR + "/model1.m"
OBS_MODEL2_PATH = OBS_MODEL_DIR + "/model2.m"
OBS_CONFIG_PATH = OBS_MODEL_DIR + "/config.json"
LOCAL_MODEL1_PATH = './model1.m'
LOCAL_MODEL2_PATH = './model2.m'
LOCAL_CONFIG_PATH = './config.json'


# read data of one day and one direction
def read_file(path, filename):
    calfile = os.path.join(path, filename)
    original = pd.read_csv(calfile, header=None)
    data = pd.DataFrame(columns=["time", "number"])
    data["time"] = original[0]
    data["number"] = original[3] + original[4]
    data["to_holiday"] = original[5]
    return data


# read data of one day
def read_data_day(path, date):
    day_data = pd.DataFrame(columns=["time", "number", "to_holiday"])
    caldir = os.path.join(path, date)
    # read data of one day
    for f in os.listdir(caldir):
        if re.match(r'wuhe_zhangheng.*\.csv', f):
            day_data = day_data.append(read_file(caldir, f), ignore_index=True)

    return day_data


# get and preprocess data
def get_11_data(path):
    raw_data = pd.DataFrame(columns=["time", "number", "to_holiday"])
    for day in os.listdir(path):
        if day in ['01-30', '01-31', '02-01','02-02', '02-03']:
            raw_data = raw_data.append(read_data_day(path, day))
    # encode time in raw data to weekday and timeindex(the n minutes of the day)
    df_dt = to_datetime(raw_data.loc[:, "time"], format="%Y/%m/%d %H:%M:%S")
    all_data = pd.DataFrame({
        "weekday": df_dt.dt.weekday / 6.0,
        "timeindex": (df_dt.dt.hour * 60 + df_dt.dt.minute) / (24 * 60.0),
        "number": raw_data["number"].astype(int),
        "to_holiday": raw_data["to_holiday"] })
    all_data = all_data.groupby(["timeindex", "weekday"]).sum().reset_index()
    #data = all_data[300:1264]
    return all_data


def get_14_data(path):
    raw_data = pd.DataFrame(columns=["time", "number", "to_holiday"])
    for day in os.listdir(path):
        if day in ['01-21', '01-22','01-23', '01-24', '01-25', '01-26','01-28', '01-29', '01-30', '01-31', '02-01','02-02', '02-03']:
            raw_data = raw_data.append(read_data_day(path, day))
    # encode time in raw data to weekday and timeindex(the n minutes of the day)
    df_dt = to_datetime(raw_data.loc[:, "time"], format="%Y/%m/%d %H:%M:%S")
    all_data = pd.DataFrame({
        "weekday": df_dt.dt.weekday / 6.0,
        "timeindex": (df_dt.dt.hour * 60 + df_dt.dt.minute) / (24 * 60.0),
        "number": raw_data["number"].astype(int),
        "to_holiday": raw_data["to_holiday"] })
    all_data = all_data.groupby(["timeindex", "weekday"]).sum().reset_index()
    #data = all_data[300:1264]
    return all_data

def traina():
    X_train11, X_test11, y_train11, y_test11 = train_test_split(local_11_data[['timeindex', 'weekday']],
                                                                local_11_data['number'], test_size=0.1, random_state=42)
    X_train14, X_test14, y_train14, y_test14 = train_test_split(local_14_data[['timeindex', 'weekday']],
                                                                local_14_data['number'], test_size=0.1, random_state=42)
    y_train11 = y_train11*0.9
    y_test11 = y_test11*0.9
    y_train14 = y_train14*0.56
    y_test14 = y_test14*0.56

    dtrain11 = xgb.DMatrix(X_train11, y_train11)
    dtest11 = xgb.DMatrix(X_test11, y_test11)
    dtrain14 = xgb.DMatrix(X_train14, y_train14)
    dtest14 = xgb.DMatrix(X_test14, y_test14)

    # 自定义参数
    
    # watchlist = [(dtest, 'eval'), (dtrain, 'train')]
    model1 = XGBR(n_estimators=650,
                  learning_rate=0.05,
                  max_depth=3,
                  min_child_weight=7,
                  subsample=0.8,
                  gamma=0.2,
                  reg_alpha=0.1,
                  reg_lambda=1
                  )
    model2 = XGBR(n_estimators=700,
                  learning_rate=0.05,
                  max_depth=3,
                  min_child_weight=7,
                  subsample=0.8,
                  gamma=0.2,
                  reg_alpha=0.1,
                  reg_lambda=1
                  )
    #scores = CVS(model1, X_train11, y_train11, cv=3, scoring='r2')
    #print(scores)
    # model = xgb.train(**other_params)
    # model.fit(X_train,y_train)
    '''
    cv_params = {'n_estimators':[700,800] }
    optimized_GBM = GridSearchCV(estimator=model2, param_grid=cv_params, scoring='r2', cv=5, verbose=1, n_jobs=4)
    optimized_GBM.fit(X_train14, y_train14)
    evalute_result = optimized_GBM.cv_results_
    print('每轮迭代运行结果:{0}'.format(evalute_result))
    print('参数的最佳取值:{0}'.format(optimized_GBM.best_params_))
    print('最佳模型得分:{0}'.format(optimized_GBM.best_score_))
    '''
    # y_predict = model.predict(X_test)
    # 'weight':在所有树分裂过程中,使用该特征分裂的次数
    model1.fit(X_train11, y_train11)
    model2.fit(X_train14, y_train14)
    y_predict11 = model1.predict(X_test11)
    y_predict14 = model2.predict(X_test14)

    joblib.dump(model1, LOCAL_MODEL1_PATH)
    joblib.dump(model2, LOCAL_MODEL2_PATH)
    r = model1.score(X_test11, y_test11)  # R评分指标
    mse = mean_squared_error(y_test11, y_predict11)
    print('r平方:', r)
    print("MSE: %.4f" % mse)
    print('平均:', y_test11.mean())
    print('权重:', model1.feature_importances_)
    r = model2.score(X_test14, y_test14)  # R评分指标
    mse = mean_squared_error(y_test14, y_predict14)
    print('r平方:', r)
    print("MSE: %.4f" % mse)
    print('平均:', y_test14.mean())
    print('权重:', model2.feature_importances_)

def prediction():
    json_data = json.loads(s)
    days = json_data["req_data"][0].split(",")
    df = pd.DataFrame(columns=["timeindex", "weekday"])
    df_ = pd.DataFrame(columns=["timeindex", "weekday"])
    for day in days:
        if day == '2019-2-11':
            timestamp = to_datetime(day, format="%Y-%m-%d")
            df1 = pd.DataFrame({"timeindex": (np.arange(300, 1256, 5)) / (24 * 60.0), "weekday":(timestamp.dayofweek/6.0) })
            df11 = df.append(df1, ignore_index=True)
        if day == '2019-2-14':
            timestamp = to_datetime(day, format="%Y-%m-%d")
            df2 = pd.DataFrame({"timeindex": (np.arange(300, 1256, 5)) / (24 * 60.0), "weekday": (timestamp.dayofweek/6.0) })
            df14 = df_.append(df2, ignore_index=True)
    df3 = pd.DataFrame(columns=["timeindex", "weekday"])
    df4 = pd.DataFrame(columns=["timeindex", "weekday"])

    #df4 = pd.DataFrame(columns=["timeindex", "to_holiday"])
    df3 = df3.append(df11, ignore_index=True)
    df4 = df4.append(df14, ignore_index=True)


    #logger.info("end to pre process")
    return df3,df4

def pre(data11,data14):
    model1 = joblib.load(LOCAL_MODEL1_PATH)
    model2 = joblib.load(LOCAL_MODEL2_PATH)

    data11['weekday'] = data11['weekday'].astype(float)
    data11['timeindex'] = data11['timeindex'].astype(float)
    data14['weekday'] = data14['weekday'].astype(float)
    data14['timeindex'] = data14['timeindex'].astype(float)

    pre_result11 = model1.predict(data11)
    pre_result14 = model2.predict(data14)

    pre_result11 = pre_result11.tolist()
    pre_result14 = pre_result14.tolist()

    pre_result = []
    for i in range(len(pre_result11)):
        pre_result.append(pre_result11[i])
    for i in range(len(pre_result14)):
        pre_result.append(pre_result14[i])
    print(pre_result)
    #print(pre_result)
    #print(len(pre_result))

def create_config():
    schema_model = json.loads(
        '{"model_algorithm":"gbtree_classification","model_type":"XGBoost","runtime":"python3.6","metrics":{},"apis":[{"procotol":"http","url":"/","method":"post","request":{"Content-type":"applicaton/json","data":{"type":"object","properties":{"req_data":{"type":"array","items":[{"type":"string"}]}}}},"response":{"Content-type":"applicaton/json","data":{"type":"object","properties":{"resp_data":{"type":"array","items":[{"type":"number"}]}}}}}]}',
        object_pairs_hook=OrderedDict)
    schema_model['model_algorithm'] = "gbtree_regression"
    schema_model['model_type'] = "XGBoost"
    with open(LOCAL_CONFIG_PATH, 'w') as f:
        json.dump(schema_model, f)


if __name__ == "__main__":
    # copy data from obs to local
    mox.file.copy_parallel(OBS_DATA_PATH, LOCAL_DATA_PATH)
    # read and preprocess data
    local_11_data = get_11_data(LOCAL_DATA_PATH)
    local_14_data = get_14_data(LOCAL_DATA_PATH)
    # test = get_test(LOCAL_DATA_PATH)
    # train model
    # train_model()
    # print(' ')
    traina()
    data11,data14 = prediction()
    pre(data11,data14)


    # create config.json
    #create_config()
    # upload model to obs
    mox.file.copy(LOCAL_MODEL1_PATH, OBS_MODEL1_PATH)
    mox.file.copy(LOCAL_MODEL2_PATH, OBS_MODEL2_PATH)
    mox.file.copy(LOCAL_CONFIG_PATH, OBS_CONFIG_PATH)
    print("Model training has been completed!")

结果

2020中国高校计算机大赛华为云大数据挑战赛-热身赛车流量预测前十名方案分享(附代码)_第2张图片

绘制曲线对比

记录了我们一些其他方案的分数

import matplotlib.pyplot as plt
import matplotlib 
plt.figure(figsize=(80, 80))
score_64_0907 = [29.14867401123047, 32.19811248779297, 33.849212646484375, 34.12603759765625, 34.57096481323242, 35.02939224243164, 38.74011993408203, 44.47844696044922, 44.47844696044922, 44.47844696044922, 47.22397232055664, 54.199920654296875, 57.23980712890625, 63.03480911254883, 64.96380615234375, 77.3484115600586, 80.17586517333984, 83.75209045410156, 107.91667938232422, 117.3389892578125, 136.39352416992188, 138.49647521972656, 147.9462432861328, 156.86016845703125, 171.80079650878906, 196.34017944335938, 199.1640625, 230.3780517578125, 274.2613830566406, 318.0623779296875, 353.6458740234375, 388.3609619140625, 419.9958190917969, 477.8525390625, 502.8939514160156, 541.7676391601562, 552.9920043945312, 570.21533203125, 559.4998168945312, 573.0032348632812, 572.973388671875, 555.8478393554688, 536.6559448242188, 537.6951904296875, 493.7697448730469, 485.8304748535156, 464.2579040527344, 401.807373046875, 408.2645568847656, 382.8735046386719, 383.9569396972656, 385.00054931640625, 358.97174072265625, 358.5983581542969, 356.64691162109375, 355.1192321777344, 355.4079284667969, 356.57037353515625, 356.0456848144531, 351.91015625, 339.12255859375, 336.5057678222656, 336.921142578125, 326.23065185546875, 321.5067443847656, 323.99273681640625, 309.1865234375, 304.9783630371094, 305.418212890625, 305.59405517578125, 294.9941101074219, 293.11114501953125, 294.76507568359375, 293.8813171386719, 281.69512939453125, 280.1230773925781, 275.3474426269531, 275.0381774902344, 275.0381774902344, 281.2052917480469, 279.2234802246094, 272.21722412109375, 270.7297058105469, 266.6083984375, 266.2669677734375, 267.5699157714844, 261.6531982421875, 256.06640625, 253.87059020996094, 254.03453063964844, 248.471435546875, 249.79107666015625, 251.60775756835938, 244.72799682617188, 244.52401733398438, 246.52940368652344, 253.2498779296875, 255.4055633544922, 260.2327575683594, 274.4248962402344, 275.8175964355469, 296.1205749511719, 301.80084228515625, 300.8201599121094, 304.3890075683594, 307.1463317871094, 312.11407470703125, 312.58551025390625, 312.8264465332031, 317.23724365234375, 316.7401123046875, 315.0510559082031, 309.3116149902344, 300.1778564453125, 299.64703369140625, 299.64703369140625, 299.0010070800781, 297.22784423828125, 297.7568664550781, 299.1563720703125, 296.6435852050781, 295.74212646484375, 293.5987548828125, 290.78656005859375, 291.61663818359375, 297.199462890625, 296.6025695800781, 292.88568115234375, 298.5523681640625, 298.2149658203125, 296.31024169921875, 295.3631286621094, 301.0303955078125, 300.919677734375, 297.3839111328125, 299.3427429199219, 297.7672424316406, 293.7972717285156, 296.2288818359375, 302.7763366699219, 302.2297058105469, 303.5915832519531, 305.59869384765625, 303.5062255859375, 308.4783020019531, 321.9208984375, 322.62908935546875, 320.3812561035156, 317.5592041015625, 310.5531005859375, 338.38153076171875, 390.8409423828125, 428.2752685546875, 453.6803894042969, 415.59332275390625, 406.1451721191406, 409.9863586425781, 410.6779479980469, 422.6908874511719, 423.0533142089844, 419.7255859375, 402.334228515625, 396.1905212402344, 385.159912109375, 383.0190734863281, 371.56927490234375, 360.7603759765625, 351.3050537109375, 332.478515625, 331.0216369628906, 317.3275451660156, 309.7958679199219, 310.3919372558594, 318.21533203125, 321.87432861328125, 319.55322265625, 320.6888122558594, 313.07806396484375, 308.0152893066406, 302.4847717285156, 299.4136047363281, 305.0936279296875, 317.5717468261719, 313.6566467285156, 324.7584533691406, 322.22137451171875, 316.1676025390625, 316.1412048339844, 362.6488037109375, 361.03778076171875, 358.0169677734375, 356.5278015136719, 30.06295394897461, 33.11241149902344, 33.9305534362793, 34.20737075805664, 34.65226745605469, 35.11069869995117, 38.936038970947266, 44.67436599731445, 44.67436599731445, 44.67436599731445, 47.419891357421875, 54.39583969116211, 57.435726165771484, 62.1032829284668, 64.03221893310547, 73.66039276123047, 76.1236343383789, 79.56411743164062, 101.14745330810547, 109.89876556396484, 127.96275329589844, 130.53472900390625, 133.26307678222656, 143.03451538085938, 152.8300323486328, 168.71420288085938, 171.5380859375, 201.0689697265625, 241.47621154785156, 281.8066101074219, 313.41986083984375, 344.1700439453125, 373.9184875488281, 432.9753112792969, 458.0167236328125, 500.191162109375, 513.9608764648438, 534.8817749023438, 523.8623657226562, 539.863525390625, 539.6168212890625, 509.7381896972656, 482.3026428222656, 478.2148742675781, 426.2779846191406, 413.2626647949219, 388.8756103515625, 314.2851257324219, 319.5204162597656, 290.59124755859375, 291.8402404785156, 292.88385009765625, 266.85491943359375, 266.30706787109375, 261.87481689453125, 259.7256164550781, 259.2385559082031, 260.453857421875, 259.9291687011719, 259.50592041015625, 244.24578857421875, 241.46510314941406, 241.46510314941406, 236.58731079101562, 230.86441040039062, 233.1881866455078, 228.162841796875, 223.9942626953125, 224.4341583251953, 224.6099853515625, 214.3833465576172, 211.72467041015625, 214.94676208496094, 214.7667999267578, 210.86895751953125, 209.29690551757812, 208.2305450439453, 208.35806274414062, 208.35806274414062, 215.36679077148438, 213.09181213378906, 202.71725463867188, 201.22972106933594, 196.84646606445312, 196.7529754638672, 198.1822967529297, 192.24539184570312, 186.72442626953125, 184.38172912597656, 184.54566955566406, 177.0745086669922, 178.39414978027344, 180.2108154296875, 175.01316833496094, 174.80918884277344, 176.47897338867188, 181.8141326904297, 183.76231384277344, 189.87550354003906, 196.75326538085938, 195.49893188476562, 212.00875854492188, 219.97146606445312, 220.85025024414062, 224.67901611328125, 225.95408630371094, 228.04591369628906, 226.70420837402344, 224.2938690185547, 226.21469116210938, 226.1243896484375, 224.50123596191406, 219.29196166992188, 213.69029235839844, 213.1594696044922, 213.1594696044922, 212.51341247558594, 211.6829071044922, 212.21192932128906, 213.92578125, 212.80992126464844, 212.4347381591797, 209.97457885742188, 207.09678649902344, 207.4875030517578, 218.3838348388672, 217.78695678710938, 214.22633361816406, 223.40777587890625, 222.9845733642578, 221.07984924316406, 221.0515899658203, 227.33277893066406, 227.22206115722656, 223.13587951660156, 224.77781677246094, 222.77120971679688, 219.0247802734375, 219.8705291748047, 227.9871063232422, 227.4405059814453, 227.57089233398438, 229.57794189453125, 227.67884826660156, 240.53382873535156, 260.694580078125, 260.71136474609375, 258.32733154296875, 258.2672424316406, 254.07215881347656, 286.56756591796875, 344.5919189453125, 384.6373596191406, 412.5513610839844, 376.2332458496094, 368.9108581542969, 378.2622375488281, 380.4381408691406, 394.9250183105469, 392.1034851074219, 388.6568298339844, 370.2217712402344, 363.77081298828125, 352.55145263671875, 349.7602233886719, 337.446044921875, 325.9634704589844, 316.709228515625, 297.94744873046875, 297.3598327636719, 279.7334289550781, 271.7767333984375, 270.80828857421875, 278.758544921875, 282.41888427734375, 274.5600280761719, 276.108642578125, 264.4617004394531, 255.89913940429688, 251.0306854248047, 247.9422607421875, 253.094970703125, 266.4853515625, 260.1126403808594, 261.2012023925781, 259.2906188964844, 253.22909545898438, 252.33135986328125, 301.9429016113281, 301.7175598144531, 300.1688537597656, 302.01092529296875]
score_64_9004 = [34.09498068634076, 35.211870732918655, 29.745114844248242, 34.925087012702484, 31.440010870037774, 34.21393575172071, 36.34216362925259, 45.34800718377114, 45.09727158205781, 44.39005631241258, 46.46191504700895, 52.0008921074137, 53.943727300779656, 60.88213398556109, 66.1220322081088, 83.54428401189718, 84.85604254175713, 79.34454859624589, 119.3480581618761, 118.76619251826419, 144.687476179175, 134.71137022984155, 158.00714060742848, 152.7529285152102, 172.39813694219012, 194.83945222023257, 212.65935563283625, 235.09567177905186, 289.72649310669505, 317.4175604442464, 398.27596966053125, 404.94034455420876, 430.6213711931712, 451.1696351516868, 519.0985341099259, 525.9581242407327, 549.549438581462, 567.8737178137001, 523.8914641819651, 572.3402337186312, 561.7882391774533, 552.1068563010775, 536.560254877592, 533.8530848391295, 489.1224737388907, 483.75880490039606, 460.53849877610656, 376.3102098665487, 432.3912751402873, 399.6061331641033, 381.60520098778335, 391.5249077604663, 367.5801090637841, 350.62593805436876, 349.0752624511458, 345.65052115080266, 356.23676955970774, 348.70228857802454, 358.9562912728956, 341.5616543508894, 337.8857695951661, 326.42339119669697, 342.6835076810832, 335.553686078239, 315.3453584880048, 330.4930461086266, 298.5529775660669, 300.2090067305109, 300.50830501093634, 319.70357390553846, 284.16831815586414, 289.5414112324596, 318.59313531025333, 302.8719922834182, 302.3150246550791, 306.22812645134877, 256.8812540619799, 274.1438666242811, 255.26724453909154, 243.045200448933, 238.83035431333732, 306.1034228113552, 297.2924424888361, 288.48043183679533, 262.7434477579539, 256.27541432853207, 263.40963355808384, 256.9739073580656, 260.6537967976256, 264.41155974560763, 276.7040798759117, 249.95998048809105, 286.0886083015785, 241.12796184791006, 244.90653244345685, 242.42124152989706, 257.78682819285353, 252.757362764057, 244.10488473824364, 286.7093997592252, 282.0188660659238, 305.50909686484755, 307.1007621858113, 289.92920582155335, 295.8683797289872, 284.2004737920025, 305.3568799005422, 298.7235263117589, 296.04743492044895, 364.3250513640797, 357.30138877627263, 333.60908004543836, 308.55137810568493, 277.7602211389741, 286.41956430579484, 309.9587420522058, 327.62914864341036, 294.04786335978565, 291.5282924656084, 305.47315712541405, 283.24386101872767, 293.47241715565326, 289.1283142287366, 286.47196576838735, 286.47196576838735, 301.77302173630625, 301.28818612288956, 291.99624191552124, 303.5930343433498, 298.8464270010695, 284.703462801927, 283.5927447944855, 299.05630866246577, 300.8283884770464, 290.5441846972876, 303.4701253583076, 306.63507962184406, 272.00342423873695, 302.34383755506684, 304.9609946444225, 287.5864201906886, 299.3332370699825, 303.82299801001346, 308.2659544332996, 316.26690484684343, 326.5634945502836, 331.7024334304298, 323.765483087581, 315.83412504517185, 299.5066816161804, 330.00290923222605, 364.5422764574682, 419.30891723584864, 472.7537132245965, 416.2157905795331, 409.8815247066079, 384.4288054870598, 415.7929799607814, 406.5468560200866, 430.0658702207992, 411.8119159401676, 386.9135454531424, 392.84391245937877, 388.28030024336965, 379.4565678640163, 377.7023178267249, 365.56646443148156, 365.02546981552, 342.0441593128903, 306.1047356153656, 302.2575573932878, 299.52686940749095, 309.80731882418326, 303.2661304370515, 319.3732178358554, 326.12258764357944, 336.0309643451114, 318.0047983276262, 316.0335588543697, 312.15850608939877, 293.2160684802245, 303.0355983243766, 313.6786383238277, 305.16222299338625, 348.23407135637035, 333.4241150890953, 307.6165827918174, 341.4763306636114, 370.08800928631445, 392.61441221272884, 356.7422094627318, 340.03896446726793, 32.026793960729805, 36.96400863509809, 35.74086334930694, 38.305973661362444, 37.01953679306317, 36.81741007607178, 40.09095533409615, 46.27600836857515, 45.834269698325386, 47.48058794221609, 48.666481472833496, 62.67184813319834, 63.811926028968955, 68.86980413418618, 72.6965371575039, 75.10883293494983, 80.24820471651867, 76.78683629921952, 91.0976367187829, 112.92051605981025, 144.70755729605315, 140.57584660562512, 129.6872895304729, 154.49656131301305, 167.482244187919, 156.0465958037402, 176.07088798610746, 188.95510983152403, 257.73593987159575, 266.05969391000684, 323.60268764421687, 341.4878429122637, 393.2485482566654, 454.7133630083526, 464.2491570526155, 534.0753545977601, 518.8344067803031, 574.7023030925833, 522.5470893496137, 567.4283635647737, 555.1612288275894, 525.4626630545873, 464.0221651718662, 479.20790399034803, 413.0015816128162, 387.1183310795401, 333.3460331668705, 280.1454435612659, 298.0417294467387, 262.88960912864167, 277.20957145983573, 302.3059463184956, 271.86006875100423, 261.41061022874794, 261.21043674667237, 240.48293776158997, 216.97152519389888, 231.1600370054828, 243.7937975390164, 245.1017228170929, 231.17396061726572, 234.56684135329027, 237.30015427087872, 241.17323171611704, 216.1616242479054, 227.1101914532417, 202.5589326883422, 207.80281906144953, 229.79158711916216, 234.99135382825895, 204.49419590483873, 186.43382760709574, 200.1586968405642, 206.44021656959794, 206.09899568622626, 206.45117888997135, 202.45184712568152, 200.8323164573979, 188.31576166300175, 226.46147962004324, 215.57545602827167, 201.5700927841987, 200.82796302073655, 187.49278780830355, 183.35488767999547, 220.38856173229078, 184.47780297382513, 187.42816793496644, 185.5970088264862, 193.18063542425514, 166.7564632961892, 155.79589036837427, 186.79274848675502, 164.08900752495072, 170.42307825188234, 179.2185235356562, 183.97494236309726, 188.7576744285302, 204.83176006421758, 202.68832292820613, 194.4497271344039, 211.01181898974602, 211.58037208581382, 214.98141478457035, 213.19128878927148, 209.79215655804197, 240.48577188275746, 224.27988106251888, 221.11536637920912, 212.065985035798, 215.3992609948448, 215.37911926414517, 213.7941397241772, 209.94330562718432, 203.85764669957737, 219.32082450032348, 219.38381772786553, 193.58148263812322, 183.7768614967884, 200.01452992448495, 210.9232686894026, 237.88233077062378, 215.6048289085148, 212.04102877596515, 211.9621971646859, 218.80820309967473, 218.54393851058182, 192.97198408538787, 228.8877688499184, 241.448254631681, 208.0083448321423, 216.37044270758358, 228.1467189313373, 224.96080547179537, 205.57027523146783, 233.08583470394376, 220.41778415717667, 235.2948762627088, 220.86332899336787, 222.0711836044722, 206.3107163353473, 212.04238326021886, 237.07610956883946, 231.75619739445585, 230.5216700211735, 285.9417636557782, 281.0073655111816, 280.33484493428466, 272.33466437291725, 248.5029259948352, 284.51492020871706, 349.38140336858487, 360.38953967279554, 424.17729573160733, 390.6360542821502, 348.4355153411144, 369.2730270049019, 358.59303178620314, 389.56902555585685, 395.10199164112436, 370.1629597204555, 352.10972140015093, 368.29184948109884, 345.9594009081052, 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score_65_1029 = [24.16596221923828, 27.011219024658203, 28.41457748413086, 28.649871826171875, 29.028072357177734, 29.417739868164062, 32.71121597290039, 37.588802337646484, 37.588802337646484, 37.588802337646484, 39.92250442504883, 45.7917594909668, 48.33713150024414, 53.26277542114258, 54.80595779418945, 65.27556610107422, 67.77369689941406, 71.07376861572266, 92.02554321289062, 99.81824493408203, 116.5627670288086, 118.35037994384766, 126.38257598876953, 134.3273162841797, 147.10302734375, 167.96453857421875, 170.3648681640625, 197.29318237304688, 234.88905334472656, 271.4793701171875, 301.29498291015625, 330.38189697265625, 357.72357177734375, 404.7180480957031, 425.4804992675781, 459.67327880859375, 469.8159484863281, 485.6972351074219, 474.54571533203125, 487.4826354980469, 486.33258056640625, 469.71258544921875, 454.2330322265625, 455.7168884277344, 418.746337890625, 411.79656982421875, 393.9789733886719, 340.6527404785156, 346.69586181640625, 325.4823913574219, 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score_75_83=[14.869138717651367, 15.100088119506836, 15.100088119506836, 15.88341236114502, 16.96013641357422, 18.079946517944336, 19.749300003051758, 20.696027755737305, 20.604475021362305, 20.703317642211914, 23.34864616394043, 24.90589714050293, 26.366140365600586, 27.577974319458008, 27.577974319458008, 27.481258392333984, 32.43721008300781, 34.36957550048828, 38.83018493652344, 39.38835906982422, 48.17237091064453, 53.042076110839844, 54.1022834777832, 59.3463249206543, 71.38997650146484, 71.21125030517578, 74.98098754882812, 86.59649658203125, 100.29217529296875, 108.38966369628906, 119.93043518066406, 137.50575256347656, 166.4490203857422, 180.92881774902344, 193.36837768554688, 221.50270080566406, 229.24884033203125, 235.7799072265625, 235.5550994873047, 238.95330810546875, 238.66098022460938, 221.4598388671875, 217.8084259033203, 222.30491638183594, 191.8578338623047, 174.1787872314453, 172.34596252441406, 129.8868408203125, 128.25234985351562, 129.6217498779297, 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188.39190673828125, 183.9621124267578, 176.6915283203125, 167.89666748046875, 167.0508270263672, 155.1290283203125, 150.68707275390625, 150.68707275390625, 155.4065399169922, 156.67530822753906, 152.01834106445312, 153.75360107421875, 148.92698669433594, 141.70217895507812, 139.82672119140625, 139.0400848388672, 141.20689392089844, 149.45152282714844, 146.26023864746094, 146.5738067626953, 145.02630615234375, 141.49441528320312, 143.46214294433594, 169.37608337402344, 169.44662475585938, 167.7608642578125, 168.50759887695312]
#plt.plot(score_71_0419,color='cyan')
plt.plot(score_75_95,color='r')
#plt.plot(score_75_75,color='g')
#plt.plot(score_74_57,color='y')
#plt.plot(score_75_52,color='b')
plt.show()

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