Inferential topics used: â â â â Estimation of a single proportion Test concerning single mean Test concerning the difference between two means Regression and correlation Contributions Jacques Te - Introduction, Methods, Data analysis, Conclusion, Excel Tatiana Pua - Methods, Results, Conclusions Gem Hervera - Introduction, method Aaron Po - Introduction, method An Analysis of Academic Performance in Relation to Studying Before or After Midnight Gem Lyzza Marithe D. Hervera1, Aaron Vincent G. Po 2, Tatiana Tricia P. Pua3, Jacques Benzly L. Te4* gem_hervera@dlsu.edu.ph, aaron_po@dlsu.edu.ph, tatiana_pua@dlsu.edu.ph, jacques_te@dlsu.edu.ph* ABSTRACT Several studies have been conducted on the academic performance of students in relation to the quantity of their study sessions, and on what the most effective study time is in the day; however in depth analyses of students’ academic performance in relation to studying before or after midnight has yet to be accomplished. This study analyzes the relationship between academic performance and the time of day studied specifically before and after midnight, among senior high school students of De La Salle University (DLSU) Manila Integrated School. This research mainly analyzes quantitative variables using statistical inference; in particular, the research used estimation of proportion, test concerning single mean, test concerning difference between two means, and linear regression and correlation. The results of the study inferred that generally, approximately 12.17% to 35.83% of students study after midnight, as well as the average time spent studying by students who study after midnight is less than the sample. The study also concluded that there is no significant difference between studying before midnight and after midnight with respect to an individual's GPA. Lastly, the research also found that there is an indirect relationship between hours of study and GPA among students who study before midnight, but has a more indirect relationship among students who study after midnight. Overall, the study concludes that time spent studying and GPA does not have a significant relationship. Keywords: Academic Performance, Before Midnight, After Midnight, Time spent Studying INTRODUCTION Background Students nowadays, the so-called millennials, have rather different practices in studying. Study habits significantly affect the academic performance of students. This includes, to name a few, the location or space at which the student feels most comfortable, the amount of time spent studying, and the time of the day in which they feel the most alert and focused. Moreover, each of these are valuable factors to consider in terms of their academic performance. The best time to be more receptive and to have a more effective brain function to be better able to focus on what is being learned and absorb information more effectively will be determined in the study. According to oxfordlearning.com (2017), students’ brains tend to be the sharpest in the morning, after a refreshing night’s sleep and a nutritious breakfast; but considering the fact that an online setup is currently being implemented, students tend to be more emotionally and mentally drained, and therefore opt to study during the night time. In addition, in a blog written by the Singapore's Productivity and Standards Board (2020), some researchers have interestingly suggested that studying at the time an individual is the most tired during can actually help our brains retain a higher level of concentration. However, one should not forget that it is still the student’s personal choice on what for them is the most convenient time to study. As early as a student begins their schooling, they already begin to develop a certain study habit or learning style which may be different from the rest. Something that they find more effective than what others may have put into practice. This may be accounted to the mindset that a person has established to better cope up with the demands of the current educational challenges. Thereby, establishing a study routine that is for them the most effective and efficient. Statement of the problem Before midnight and after midnight studying is vital to one’s progress in their studying for each study time has its own advantages and disadvantages. This problem affects all students, though mostly in high school to college students. There have been various researches and studies done regarding which time would be the best time to study during. The success of the study would prove beneficial to not only DLSU students, but also other students, for it can help them find the best time to study and would therefore help them improve academically. The target of this study is to investigate which certain time stamp is the best time to spend time studying to increase one’s academic performance. Research Questions 1. What proportion of DLSU SHS Grade 11 students study after midnight? 2. Is the average time spent studying by the DLSU SHS grade 11 students who study after midnight less than sample mean? 3. Is there a significant difference in the average term GPA of DLSU SHS grade 11 students who study before midnight to after midnight ? 4. For DLSU SHS grade 11 students, is there a significant linear relationship between the time spent studying before and after midnight, to their corresponding GPA of term 1 and term 2? Objective of the study The objective of this study is to evaluate the difference of studying before midnight to after midnight in its effect on the academic performance of individuals, specifically students. More specifically in evaluating this, the researchers aim to first, determine the proportion of students that study after midnight as well as before midnight, second is to identify weather the average time spent studying of students studying after midnight is greater than the average time of the whole sample, third is compare the significance in the difference between the academic performance of student who study before midnight to after midnight. Lastly, the researchers aim to assess the linear relationship of academic performance to the hours of study on both students who study before midnight and after midnight. Hypothesis In general, the researchers hypothesize that studying after midnight is more effective and efficient than studying before midnight in terms of its benefits on academic performance. In contrast, the researchers believe that the proportion of students studying before midnight is greater than students studying after midnight. Moreover, the researchers suspect that the average time spent studying after midnight is less than the average of the time spent studying by the whole sample. Furthermore, the researchers speculate that there is no significant difference between the academic performance of students who study before midnight to students who study after midnight. Additionally, the researchers expect a moderate linear relationship between the time spent studying and academic performance of a student for both proportion who study before midnight and after midnight. MATERIALS AND METHODS Scope and Limitations This study focuses on the impact of studying before or after midnight to the academic performance of an individual, this includes the daily time an individual spends studying in hours, and the academic performance of an individual measured by their general point average in term 1 and term 2. In this study, before midnight is defined as 6:00 am to 11:59 pm, and after midnight is defined as 12:00 am to 5:59 am. This study also focuses mostly on the quantitative aspect of the topic. However, some limitations that may affect this study is that the sample is limited to the students of De La Salle University Integrated School, which may not represent the whole general population. Another limitation is that this study only focuses on the relationship of the time spent studying and grade point average. Other factors not stated in the scope of this study will not be included. Data Collection The researchers collected data through the usage of a survey with Google Forms as the platform. 100 participants were chosen by implementing a simple random sampling within the population sample of De La Salle University Integrated School’s Grade 11 students, but only 50 respondents are necessary to complete the data gathering. The researchers picked respondents from Grade 11 students from De La Salle University Integrated School because the chosen participants are relevant to the paper that will analyze the academic performance of students in relation to studying before or after midnight. Student respondents were tasked to first answer questions in relation to basic personal information such as their name, gender, age, and section in De La Salle University Integrated School. No specific requirements are necessary for the respondents to be accepted to answer the survey as long as they are students of De La Salle University Integrated School. Afterwards, comprehensive questions were asked about the time that they spent studying such as factors that affect their study time and the quantity of their daily study time in hours during either before or after midnight, and about their grade point average during term 1 and term 2. The data gathered from the Google Forms will be analyzed, summarized, and recorded in a Microsoft Excel spreadsheet to be further completed through statistical analysis. Data Analysis This study mainly uses statistical analysis to analyze and interpret the collected quantitative data, specifically inferential statistics. The study utilizes four statistical methods, with the first being the estimation of a single proportion. Additionally, this research will be using a confidence level of đŞ = 95% for all statistical inference. This is used for the proportion of respondents studying before midnight or after midnight. This is done to determine the margin of error of the proportion for students studying after midnight, and to construct a confidence interval to infer a general estimation of proportion for the whole population. This is implemented by estimating a standard error (e) using the equation below; with z being ( z đŞ/2 = 1.96) and computing a point estimate (p) being the number of students who study after midnight divided by the sample (50). The (q) is the proportion of students who study before midnight. e = z đŞ/2 đđ đ Equation for standard error (p-e, p+e) Confidence interval The second is a test concerning a single mean which is used to test the hypothesis which states that the average time spent studying after midnight is less than the average time spent studying by the whole sample. This is done by forming a decision rule based on the initial hypothesis and an alternative hypothesis. The rejection of the initial hypothesis will be dependent on the computed z using the equation below, where đĽ is the mean hours of students studying after midnight, and u is the sample mean. Lastly, after the decision, a conclusion is made. Z= đĽ−đ˘ đ / đ Equation for (Z) The third is a test concerning two means. This is used to test the hypothesis which states that the difference between the academic performance of students who study before midnight to students who study after midnight is not significant. Before starting the hypothesis test, a F-test was first conducted to determine whether the mean is assumed equal variance or not. The hypothesis test is done by forming a decision rule based on the initial hypothesis and an alternative hypothesis. The rejection of the initial hypothesis will be made depending on the computed z using the statistical tool in Microsoft Excel. Finally, after the decision, a conclusion is made. The final statistical methods are linear regression and correlation analysis. These are used to analyze the linear relationship between time spent studying as the independent variable (X) and general point average as the dependent variable (Y) . This is analyzed by observing the correlation coefficient (r), the r-square (r2), p-value, and t-stat. The correlation coefficient tells us where the relationship is direct or indirect as well as if the relationship is weak, moderate or strong. It is weak if it's near 0, moderate when near 0.50, and strong when near 1, disregarding whether it's positive or negative. The r2 states what percent of the values of Y is accounted for by X, and lastly the p-value and t-stat determines whether the prediction equation is viable or not, this is done by comparing the values to tđŞ/2. Moreover, evaluating the effectiveness and efficiency of studying for both before midnight and after midnight. This will be done by using the linear regression equation to predict the possible grade point average obtained from x hours of studying. This equation will also reveal which particular study time will be more effective based on the data; by inputting 1 hour of study in each equation obtained from after midnight regression and before midnight regression, and which equation will give the higher grade point average. The researchers will be using Microsoft Excel as the statistical software to compute the collected quantitative data for all methods stated. RESULTS AND DISCUSSION Data Gathered After analyzing the data conducted from the survey; from the 50 respondents, 29 respondents or 58% of the respondents were female, 19 respondents or 38% of the respondents are male, and 2 respondents or 4% of the respondents prefer not to specify their genders. Figure 1. Gender In terms of the ages of the respondents, 11 respondents or 22% of the respondents are 16 years old. 30 respondents or 60% of the respondents are 17 years old, and 9 respondents or 18% of the respondents are 18 years old. Figure 2. Age of respondents When respondents were asked about the time they spent studying daily, whether they studied more before or after midnight, 38 or 76% of the respondents studied more before midnight, while 12 or 24% of the respondents studied more after midnight. Figure 3. Time of day spent studying The data of the entire sample of 50 respondents was collected along with their maximum and minimum grade point averages, mean of the sample, sample standard deviation and variance. The maximum value grade point average from the whole sample of 50 respondents is 98, while the minimum value grade point average is 89.15. The mean of the entire sample is 94.45, the sample standard deviation is 1.99, and the sample variance of the whole sample is 3.95. Whole Sample (GPA) Mean (xĚ ) 94.45 Sample Standard Deviation (s) 1.99 Sample Variance (s2) 3.95 Maximum 98 Minimum 89.15 Table 1. Summary of Whole sample GPA With the data collected, in terms of the mean of the two grade point averages for term 1 and term 2 of the population who studies before midnight, the maximum grade point average from the 38 respondents is 98, whilst the minimum grade point average is 89.15. The mean grade point average is approximately 94.33 for respondents who study before midnight, the standard deviation from that sample is approximately 2.01, and the sample variance is 4.05. Before Midnight (GPA) Mean (xĚ ) 94.33 Sample Standard Deviation (s) 2.01 Sample Variance (s2) 4.05 Maximum 98 Minimum 89.15 Table 2. Summary of Before Midnight GPA With respect to the mean of the two grade point averages from term 1 and term 2 of the 12 respondents who study after midnight, the maximum grade point average is approximately 97.245, while the minimum grade point average is approximately 91.025. The computed mean grade point average is estimated to be 94.82, the standard deviation from the sample of respondents who study after midnight is approximately 1.94, and the sample variance is 3.75. After Midnight (GPA) Mean (xĚ ) 94.82 Sample Standard Deviation (s) 1.94 Sample Variance (s2) 3.75 Maximum 97.245 Minimum 91.025 Table 3. Summary of After Midnight GPA The other variable that is being analyzed is the hours of study of each respondent with the datas of the maximum value, minimum value, mean, sample standard deviation, and variance for both studying before midnight and after midnight. For the 50 respondents, the maximum amount of hours studied is 15 hours, and the minimum amount of hours is 0.5 hours. The mean of the daily time spent studying in hours of the whole sample is approximately 3.815 hours, the standard deviation of the whole sample is 2.91, and the sample variance is 3.75. Whole Sample (Daily Time Spend Studying in Hours) Mean (xĚ ) 3.815 Sample Standard Deviation (s) 2.91 Sample Variance (s2) 8.47 Maximum 15 Minimum 0.5 Table 4. Summary of the Whole sample time spent studying For the 38 respondents who study before midnight, the maximum amount of hours studied is 15 hours, and the minimum amount of hours is 0.5 hours. The mean of the daily time spent studying in hours of the 38 respondents who study before midnight is approximately 4.10 hours, the standard deviation of the sample is calculated to be 3.24, and the sample variance is 8.47. Before Midnight (Daily Time Spend Studying in Hours) Mean (xĚ ) 4.10 Sample Standard Deviation (s) 3.24 Sample Variance (s2) 10.48 Maximum 15 Minimum 0.5 Table 5. Summary of Before Midnight time spent studying For the 12 respondents who study after midnight, the maximum amount of hours studied is 4 hours, while the minimum amount of hours studied is 1 hour. The mean of the time spent studying in hours of the 12 respondents who study after midnight is approximately 2.92 hours, the standard deviation of the sample of these respondents is 1.14, and the sample variance is 10.48. After Midnight (Daily Time Spend Studying in Hours) Mean (xĚ ) 2.92 Sample Standard Deviation (s) 1.14 Sample Variance (s2) 1.31 Maximum 4 Minimum 1 Table 6. Summary of After Midnight time spent studying All 50 respondents were also asked whether the time of day that they study more often, whether before or after midnight, directly affects the quality of their study time. 40 respondents or 80% of the respondents answered that the time of the day that they study directly affects the quality of their study time, while 10 respondents or 20% of the total respondents said that the time they study does not affect the quality of their study time. For the 40 respondents who agreed that the time that an individual studies affects the quality of their study time, the reasons were that if an individual manages to study at an earlier time in the day, they would be more likely to have a lengthier and more productive study session. Other reasons are that their minds get more tired and are not able to concentrate at optimum levels on certain times of the day, their focus, energy, and motivation levels are higher on certain times of the day, their environment and its ambience can heavily affect their focus, the amount of sleep that they get is crucial to the quality of their study time, and that not having their preferred study session as the time for studying can also affect the quality of their study time. As for the 10 respondents who disagreed that the time that an individual studies affects the quality of their study time, their reasons were that the content that enters the brain is the same no matter the time of day that they study during, and that the quality of their study mainly relied on motivation. With many people having their own personal preferences, decisional factors, and reasons as to why they study in a particular time of day such as before midnight or after midnight, the 50 respondents were also asked about the factors that supported their decision in whether to study before or after midnight. In terms of the 38 respondents who consistently study before midnight, these factors consisted of alert levels, energy levels, and personal preferences. For 27 respondents or 71.10% of the respondents who study before midnight, the factor that resulted into their studying before midnight is personal preferences. For 26 respondents or 68.40% of the respondents who study before midnight, the factor that resulted into their studying before midnight is their energy levels, and for 21 respondents or 55.30% of the respondents who study before midnight, the factor that resulted into their studying before midnight is their alert levels. These factors also overlap with each other as many respondents who study before midnight include all these as factors, while some respondents only include one or two as factors. Estimation of Proportion Figure Midnight 4. Factors for Before In terms of the 12 respondents who normally study more after midnight, the factors consist of no external disturbances such as household members and noise, mental clarity, personal preference, lack of time during the day, and no motivation during the day. All 12 or 100% of the respondents who study after midnight had the main factor as having no external disturbances during after midnight. 10 or 83.30% of the respondents also had mental clarity and personal preference as a factor for studying after midnight. While 7 or 53.30% of the respondents said that the lack of time during the day was a factor as to why they studied after midnight, and 1 respondent or 8.33% of the respondents said that it was due to the lack of motivation during the day. Using the data collected on the proportion of students who study before midnight and after midnight, an estimation can be inferred for the general population, specifically a 95% confidence estimation for students studying after midnight is made. The point estimate for this inference is the percentage of students who study after midnight which is (pĚ = 0.24), while the qĚ value is the proportion of students not studying after midnight (qĚ = 0.76). Given the collected data, a margin of error (e) is calculated to be 0.1183. Using the point estimate and margin of error, a confidence interval (C.I.) is constructed by getting the upper and lower margin (0.1217, 0.3583). Thus it can be concluded that based on the data collected, with 95% confidence it can be implied for the general population that the proportion of students who study after midnight is between 12.17% to 35.83%. pĚ 0.24 pĚ 0.76 z0.05/2 1.96 n 50 e 0.1183 C.I. (0.1217, 0.3583) Table 6. Summary of variables for proportion Figure 5. Factors for After Midnight A possible explanation for this is based on the survey conducted among the respondents who study before midnight. When asked if the time they study affects the overall quality of studying, about 10 of the respondents who answered yes had reasonings related to sleepiness concerns, concentration deprivation. issues, and energy Test Concerning Single Mean In the previous section, it was hypothesized that the mean hours of the time spent by students studying after midnight is less than the sample mean. To test whether the hypothesis is statistically correct, a seven step hypothesis is conducted. The first step is stating the null hypothesis, which states that the mean hours of students studying after midnight is greater than or equal to 3.815. The second step is stating the alternative hypothesis, which states that the mean hours of students studying after midnight is less than 3.815 (the sample mean). The third step is finding the significance level, which is 0.05 or 5%. Next, based on the hypothesis, a decision rule is made; and if the computed z value is less than -1.6449, then the null hypothesis will be rejected. The computed z value based on the data collected is z = -2.182446 (refer to equation in methodology) , so the decision to reject the null hypothesis is made. In conclusion, the hypothesis is correct, and it can be said that there is enough evidence to conclude that the average time of students studying after midnight is less than the sample mean. STEP Hypothesis Test 1 H0: u ≥ 3.815 2 Ha: u < 3.815 3 α = 0.05 4 Reject H0 if z < -1.6449 5 z = -2.18244614 6 Reject H0 7 There is enough evidence to conclude that the average time of students studying after midnight is less than the sample mean. Table 7. Hypothesis test procedure for test concerning single mean Test Concerning the Difference Between Two Means The researchers speculated that there is no significant difference between the academic performance of students who study before midnight to students who study after midnight. To test if the hypothesis is statistically correct , a seven step hypothesis test is done. Before the first step the F-test conducted shows that the variances are assumed equal. The first step is stating the null hypothesis, which states that there is no significant difference between the mean GPA of students who study before midnight in comparison to those who study after midnight. On the other hand, the alternative hypothesis states that there is a significant difference between the mean GPA of students who study before midnight to students who study after midnight. The third step is to determine the significance level, which is 0.05 or 5%. The next step is forming a rejection rule. Based on the alternative hypothesis, the rejection rule is to reject if the computed z value is either less than -1.96, or greater than 1.96. Based on the data collected, the z value computed is 0.4539. Thus, a decision to not reject the null hypothesis is made. In conclusion, the test implies that there is no significant difference between the mean GPA of students who study before midnight to after midnight. STEP Hypothesis Test 1 H0: u1 = u2 2 Ha: u1 ≠ u2 3 α = 0.05 4 Reject H0 if z < -1.96 or z > 1.96 5 z = 0.453898898 6 Do not Reject H0 7 There is no significant difference between the mean GPA of students who study before midnight to after midnight. Table 8. Hypothesis test procedure for test concerning two means Linear Regression and Correlation Analysis In this section, the linear regression and correlation analysis is done from the data retrieved from students who study before midnight and after midnight. This is done to have a clear comparison between the two. Based on the analysis made on the data related to students studying before midnight, the following statistical output is calculated on Table 9., as well as the graph shown on Figure 6. Figure 6. Scatter plot for Before Midnight r -0.01178 r2 0.00014 đ° 0.05 α 94.34 b -0.0073 yĚ 94.34 + -0.0073x đą 0.9440 t -0.07073 Table 9. Summary of results for regression and correlation (Before Midnight) The calculated correlation coefficient (r), since it is near zero and it is negative, states that there is a weak indirect relationship between the amount of hours studied and the grade point average of students who study before midnight. Furthermore, the value of r-squared (r2) implies that 0.01% of the total variation in the values of the grade point average can be explained by the linear relationship with the values of hours spent studying. Finally, the đą-value and t-stat concludes that there is no significant linear relationship between the time spent studying and grade point average for students who study before midnight. On the other hand, another analysis is made for students studying after midnight. The following statistical output and graph are shown below. Figure 7. Scatter plot for After Midnight r -0.32836 r2 0.10782 đ° 0.05 α 96.44 b -0.5555 yĚ yĚ = 96.44 + -0.5555x đą 0.29739 t -1.09931 Table 10. Summary of results for regression and correlation (After Midnight) The calculated correlation coefficient (r), explained by its closeness to 0.5 tells us that there is a moderate indirect linear relationship between the amount of hours spent studying and grade point average of students who study after midnight. Additionally, the computed value of r-squared (r2) states that 10.78% of the total variation in the values of the grade point average can be explained by the linear relationship with the values of hours spent studying. Lastly, the đą-value and t-stat concludes that there is no significant linear relationship between the time spent studying and grade point average for students who study after midnight. A possible explanation as to why the trendline of the graph has a negative slope, or an indirect X and Y relationship is because the greater amount of hours spent studying before midnight implies that most individuals will have less sleep, thus playing a factor in academic performance. In comparison, the regression and correlation of both before midnight and after midnight graphs have a negative correlation coefficient, or an indirect X and Y relationship, although the after midnight graph has a higher negative correlation. When comparing the prediction equation for both before and after midnight, 1 hour of studying will be more effective for studying after midnight; but as the hours of studying increase, the lesser the effectiveness of studying after midnight becomes and the greater effectiveness of studying before midnight becomes. CONCLUSION Conclusion of Findings With many students not being able to review and study during the day, their sleep is compromised as they continue to do academic work after midnight. Sleeping late is very prevalent among students because of the lack of time during the day. This research aims to determine whether there is a significant difference in academic performance for individuals who study after midnight as compared to those who study before midnight. The study provided multiple results and findings on the relationship of the time spent studying daily to a person’s academic performance. These findings are summarized into four major statistical analyses: estimation of proportion, test concerning single mean, test concerning difference of two means, and linear regression and correlation analysis. For the first statistical analysis, namely the estimation of proportion, with the data that was collected and calculated, the proportion of students who study after midnight to the entire population of students was determined. The test of estimating the proportion stated with 95% confidence that 12.17% to 35.83% of the overall general population of students study after midnight. This estimated result means that more students are more drawn to studying before midnight as compared to studying after midnight. An explanation to this data is because more students prefer to study before midnight, and have higher alert and energy levels before midnight. Studying after midnight causes many students to feel lethargic, and it also causes them to have an insufficient amount of sleep. The data collected, analyzed, and calculated from the test concerning a single mean concludes that the average time students spend studying after midnight is less than the sample mean. The explanation for this result is because the time interval during after midnight is shorter than the interval in comparison to before midnight. Students can take longer and spend more time studying before midnight than after midnight because studying after midnight is closer to a student’s sleeping time, resulting in a study session being shortened due to sleep. The test comparing the GPA of students who study before midnight and after midnight concludes that there is no significant difference that sets the GPA of students who study before midnight to be higher or lower than the GPA of students studying after midnight. An explanation for this is because studying after midnight has its own benefits and downsides, same as with studying before midnight. Moreover, based on the analysis on linear regression and correlation, both studying before and after midnight concludes that an increase in hours of study decreases GPA, although based on the results, it states that only a small percent of hours spent studying can account for a change in the GPA. Overall, when it comes to the relationship between hours of study and GPA, considering the time of day a student spends studying, the results tell us that a big factor that dictates the relationship between this is more on qualitative data, like personal preference, stress factors, energy and focus levels. Limitations Some limitations that may have affected the results of the study is the current online setup due to the pandemic, the said online setup could have affected the normal time spent studying and academic performance, due to stress, differed time schedules, and other factors. Another limitation could be the small sample size (50). Moreover, the survey was conducted within De La Salle University only. A wider sample size could bring more variety and accuracy to the data collected. Recommendations for Future Study The researchers recommend considering other factors that affect time spent studying and academic performance such as disturbances, sleep deprivation, and other factors that heavily influence the quality of an individual’s study time. Furthermore, other types of regression analyses like lasso and exponential regression are also recommended for better prediction equations. Another recommendation is to use judgement sampling or quota sampling to specifically target a certain number of students who study before midnight and after midnight. This study can also be further used to research the relationship between academic performance and the time of the day spent studying. REFERENCES The Best Time Of The Day To Study: Day or Night? Oxford Learning. (2017, November 30). https://www.oxfordlearning.com/be st-time-day-to-study/. When is the Best Time to Study: Morning, Noon or Night?: PSB Academy. (2020, January 17). https://www.psb-academy.edu.sg/bl og/best-time-to-study.
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