Learning-by-Judging: A Network Learning Environment Based on Peer Evaluation.The paradigms of science and engineering education have been evolving along the dimensions of theory, pedagogy, and technology. As network-based, computer-assisted learning See CBT. Computer-Assisted Learning - Computer-Aided Instruction is drawing more and more attention the past few years, promising learning theories such as constructive learning and collaborative learning Collaborative learning is an umbrella term for a variety of approaches in education that involve joint intellectual effort by students or students and teachers. Collaborative learning refers to methodologies and environments in which learners engage in a common task in which each have found new meaning and new ways of implementation in the new, network-based environment. In this article, we propose a learning environment in which a learning strategy, called Learning-by-Judging, can be realized to help constructive learning. The proposed environment is a World Wide Web (Web) based system that supports learning strategies through design and peer evaluation. Samples designed by students are demonstrated in screen windows for others to evaluate by way of a network. A learning procedure includes several rounds of sample-design and mutual evaluation. The learning process is recorded and analyzed an·a·lyze tr.v. an·a·lyzed, an·a·lyz·ing, an·a·lyz·es 1. To examine methodically by separating into parts and studying their interrelations. 2. Chemistry To make a chemical analysis of. 3. , and then the result is fed back to the students to achieve the goal of meta-cognition. We expect this approach to encourage students participating in instructional activities early and effectively. We conducted a small-scale experiment in which color-matching was chosen as the design subject. We collected and analyzed users' behavior patterns in a preliminary manner. We are improving the functionality and interface of the learning environment. We expect to conduct formal instructional experiments in the near future. Students were largely isolated in traditional, computer-assisted learning (CAL) environments, for example, a CD-ROM CD-ROM: see compact disc. CD-ROM in full compact disc read-only memory Type of computer storage medium that is read optically (e.g., by a laser). courseware-based system. This was so because, usually, the interactions provided by these kinds of environments occurred only between the students and the courseware/system. Recently, the development of computer networks has enhanced the CAL environment with communication facilities among students in a synchronous Refers to events that are synchronized, or coordinated, in time. For example, the interval between transmitting A and B is the same as between B and C, and completing the current operation before the next one is started are considered synchronous operations. Contrast with asynchronous. or asynchronous Refers to events that are not synchronized, or coordinated, in time. The following are considered asynchronous operations. The interval between transmitting A and B is not the same as between B and C. The ability to initiate a transmission at either end. manner. This way, they can cooperate with each other in a virtual learning community. There have been many network-based platforms developed and evaluated. Among them, the Web has become one of teachers' and educational researchers' favorites. This trend enables the exploration of new pedagogical ped·a·gog·ic also ped·a·gog·i·cal adj. 1. Of, relating to, or characteristic of pedagogy. 2. Characterized by pedantic formality: a haughty, pedagogic manner. strategies in computer-assisted and network-mediated environments. Furthermore, a network-based environment encourages students to search and organize materials related to the topic of study. It also provides a natural collaborative situation for the students to cultivate cul·ti·vate tr.v. cul·ti·vat·ed, cul·ti·vat·ing, cul·ti·vates 1. a. To improve and prepare (land), as by plowing or fertilizing, for raising crops; till. b. their social and communication skills, as many have mentioned. In addition, computers integrate various media and interactive equipment. They can be used to effectively support appropriate tools to guide the process of cooperation among a group of students, to take down the records of the cooperation process, and to analyze the recorded patterns by using artificial intelligence mechanisms. In this article, we propose a new learning system, called Learning-by-Judging. It is a distance learning environment which provides the basic functionality to realize several important concepts in distributed constructionism constructionism the use of or reliance on construction or constructive methods. — constructionist, n. See also: Attitudes (Resnick, 1996), such as active learning, consensus development, and meta-cognition. We also integrate the procedure employed in the Delphi method The Delphi method is a systematic interactive forecasting method for obtaining forecasts from a panel of independent experts. The carefully selected experts answer questionnaires in two or more rounds. for group decision-making, taking advantage of the interactive properties provided by the network environment. We construct the Learning-by-Judging environment on the Web because it provides a multimedia, multi-user environment in which participants from different cultures and professional fields can work together and share their designs and values. In this environment, we expect the users to start participating with a minimal amount of prior knowledge so that active learning is encouraged. Then, through the process of construction and re-construction, they will be able to develop general principles and theories. This approach is an enhancement to project-based learning Project-based learning, or PBL (often "PjBL" to avoid confusion with "Problem-based Learning"), is a constructivist pedagogy that intends to bring about deep learning by allowing learners to use an inquiry based approach to engage with issues and questions that are rich, real and (PBL PBL Problem-Based Learning PBL Phi Beta Lambda PBL Performance Based Logistics PBL Planetary Boundary Layer PBL Publishing and Broadcasting Limited (Australia) PBL Philippine Basketball League PBL Peripheral Blood Leukocyte ) by providing a supplement of peer evaluation. The PBL strategy uses a hands-on project as the focus of learning so that the students feel what they have learned is integrated knowledge, and it makes sense to them. We believe that the proposed Learning-by-Judging environment has a positive effect in this direction of educational research and development. RESEARCH METHODOLOGY This study is based on the CORAL system (Sun & Chou, 1996), which stands for Cooperative Remotely Accessible Learning. We explore pioneering educational theories and new instructional technologies There are two types of instructional technology: those with a systems approach, and those focusing on sensory technologies. The definition of instructional technology prepared by the Association for Educational Communications and Technology (AECT) Definitions and Terminology in this study. The research steps are listed in the following: 1. We employ important concepts in constructivism constructivism, Russian art movement founded c.1913 by Vladimir Tatlin, related to the movement known as suprematism. After 1916 the brothers Naum Gabo and Antoine Pevsner gave new impetus to Tatlin's art of purely abstract (although politically intended) (Jonassen, 1994), collaborative learning (Hooper hoop·er n. A maker or repairer of barrels and tubs; a cooper. , 1992; Johnson & Johnson, 1990), and the Delphi method. We consider the characteristics and limitations of network-based computer-assisted learning before we put these concepts together and design the framework of the Learning-by-Judging environment. 2. Based on the theoretic framework, we designed a Web-based Learning-by-Judging interface and used the Java language for implementation. 3. During Learning-by-Judging, the learning system automatically records learning behavior in log files. The profile data are then analyzed to generate feedback information for the students and to provide improvement suggestions for the teachers. 4. The students evaluate samples during the learning process. There are two sources for the samples: they can be generated by the students or produced by the system based on domain-specific design principles. 5. Next, we conduct instructional experiments on college students in different fields. We investigate the proposed learning environment based on two types of information: (a) log files recorded during learning processes, and (b) observations on learner behavior and interviews with the learners. 6. Based on the experiment results, we provide assessment and suggestion for the proposed learning environment and strategy. DESIGN OF THE LEARNING PROCESS The two primary activities in Learning-by-Judging are sample design and peer evaluation, as described below. For a chosen learning topic, the Learning-by-Judging pedagogy supports a learning procedure of several steps to achieve various learning goals: 1. In the provided Learning-by-Judging environment, a student produces one or more design samples. The samples are then posted by way of a network to all participants. For example, each student produces a blueprint blueprint, white-on-blue photographic print, commonly of a working drawing used during building or manufacturing. The plan is first drawn to scale on a special paper or tracing cloth through which light can penetrate. draft on an engineering design course. 2. After all the samples are posted on the network, students start to browse (1) To view the contents of a file or a group of files. Browser programs generally let you view data by scrolling through the documents or databases. In a database program, the browse mode often lets you edit the data. See Web browser. others' samples and give a score on each piece of work. The aggregated score of each piece of work are calculated and posted along with corresponding comments. 3. The students observe the overall scores and comments. 4. Based on the observation of the previous round, all students modify their old samples or design new samples, then repeat the above steps until no further apparent improvement can be achieved or time is up. 5. After the iterative it·er·a·tive adj. 1. Characterized by or involving repetition, recurrence, reiteration, or repetitiousness. 2. Grammar Frequentative. Noun 1. learning cycles are finished, the Learning-by-Judging system analyzes the information collected during the learning process. The analyzed results are given to individual students as feedback for the purpose of meta-cognition. The Delphi method is frequently employed for group negotiation and decision. We adopted several of its features in the Learning-by-Judging pedagogy. Among them are the anonymous participation of group members, the non-verbal style of message passing, the interactive approach to express suggestive sug·ges·tive adj. 1. a. Tending to suggest; evocative: artifacts suggestive of an ancient society. b. and evaluative opinions across iterative cycles, and finally, the accumulative LEGACY, ACCUMULATIVE. An accumulative legacy is a second bequest given by the same testator to the same legatee, whether it be of the same kind of thing, as money, or whether it be of different things, as, one hundred dollars, in one legacy, and a thousand dollars in another, or whether manner of consensus formation. The motivations behind these important features include avoiding dominance from members with better verbal skills or higher social ranks, alleviating the burden of expressing one's judgment and opinions, learning to appreciate others' work and cooperative techniques, and better knowing the need of time and patience in the consensus-formation process. By repeating the procedure mentioned above, a student is able to observe the dynamic formation and changes of social consensus through indirect interactions. General design rules are expected to be derived and reported by the student during this process. Since the learning environment records every step of design and scoring, the learning process can be effectively analyzed. For example, the designs and preference of a student at different stages can be categorized cat·e·go·rize tr.v. cat·e·go·rized, cat·e·go·riz·ing, cat·e·go·riz·es To put into a category or categories; classify. cat . Meta-cognition can be triggered when the student is given this piece of feedback information, together with the teacher's comments. The importance of this factor has long been discussed (Posner, Strike, Hewson, & Gertzog, 1982). In this project, we tried to realize it in a distance learning environment. Also indicated in previous research is this guideline guideline Medtalk A series of recommendations by a body of experts in a particular discipline. See Cancer screening guidelines, Cardiac profile guidelines, Gatekeeper guidelines, Harvard guidelines, Transfusion guidelines. : if only cooperation channels are supported, but no incentives to cooperate are provided, cooperative learning cooperative learning Education theory A student-centered teaching strategy in which heterogeneous groups of students work to achieve a common academic goal–eg, completing a case study or a evaluating a QC problem. See Problem-based learning, Socratic method. cannot be successfully accomplished (Richartz & Rudebush, 1990; Steeples, 1993). In this aspect, the Learning-by-Judging interface can be viewed as a cooperation-embedded environment because students start the sample-generation and peer-evaluation process immediately after they enter the environment. In other words Adv. 1. in other words - otherwise stated; "in other words, we are broke" put differently , the students start cooperation with each other by way of the network in a natural manner. DESIGN OF INSTRUCTIONAL EXPERIMENT In this exploratory study, we focused on the impact imposed on a single student from social interactions. We employed the case study method to observe the interactions between students and extracted patterns from the logging data. We analyzed the behavior from three angles: the coherence coherence, constant phase difference in two or more Waves over time. Two waves are said to be in phase if their crests and troughs meet at the same place at the same time, and the waves are out of phase if the crests of one meet the troughs of another. of the society, the generation of repeated samples, and the movement of preference. After the implementation of the Learning-by-Judging environment, we designed and conducted two sets of experiments. We had six undergraduate students with different backgrounds participate in the experiments. We selected the color matching of clothing as the design task. The two experiments are described below: 1. Fixed number of samples in each cycle: we had three participants (A, B, and C) in this case. Each generated five samples at each of five learning rounds. Besides, each participant evaluated 18 samples during each round, 15 produced by the three participants and three generated by the system according to according to prep. 1. As stated or indicated by; on the authority of: according to historians. 2. In keeping with: according to instructions. 3. textbook textbook Informatics A treatise on a particular subject. See Bible. color-matching principles. 2. Decreased number of samples across cycles: three subjects (D, E, and F) participated in this experiment. During five rounds of learning, they produced fewer and fewer new samples. They also evaluated 18 samples during each round, some of them were better samples from previous rounds. As mentioned above, the system recorded each sample generated and each score given by the participants. In the next section, we describe the analytical analytical, analytic pertaining to or emanating from analysis. analytical control control of confounding by analysis of the results of a trial or test. results attracted from the logging data, list some important phenomena observed during the experiments, and summarize sum·ma·rize intr. & tr.v. sum·ma·rized, sum·ma·riz·ing, sum·ma·riz·es To make a summary or make a summary of. sum the interviews conducted after the experiments. ANALYSIS OF LEARNING BEHAVIOR Coherence with Society The concept of "knowledge as construction" is emphasized in constructivism-based learning. Based on one's prior knowledge, a student absorbs new elements during a learning activity to form new knowledge structures. This type of personal mental activity is called "weak constructivism" because the usefulness of the acquired knowledge is yet to be proved. On the other hand, "strong constructivism" emphasizes the acquisition of knowledge from the consensus of a group, that is, the learning society. This is because interactive experience justifies the usefulness of the knowledge, so it tends to be held stronger in one's memory. In other words, knowledge construction is not only a personal cognitive process but also a group cognitive process. Therefore, we proposed two indicators to measure one's degree of coherence In optics, correlation functions are used to characterize the statistical and coherence properties of an electromagnetic field. The degree of coherence is the normalized correlation of electric fields. In its simplest form, termed with the learning society from a single student's point of view. During each learning round, we first cluster the color-matching samples according to their scores, and identify a collection of samples with high ranks judged by the group. Similarly, we identify a preference set for each individual. We then compare the preferred samples of a single student and the preferred samples of the whole group to check the overlaps and changes of overlaps between the two sets. We define the degree of conformity (C) between the "Individual Preference Set (IPS (1) (Inches Per Second) The measurement of the speed of tape passing by a read/write head or paper passing through a pen plotter. (2) (IPS) (Intrusion Prevention S )" and the "Group Preference Set (GPS)" by the following formula: C = #(IPS[GRAPHIC EXPRESSION NOT REPRODUCIBLE re·pro·duce v. re·pro·duced, re·pro·duc·ing, re·pro·duc·es v.tr. 1. To produce a counterpart, image, or copy of. 2. Biology To generate (offspring) by sexual or asexual means. IN ASCII ASCII or American Standard Code for Information Interchange, a set of codes used to represent letters, numbers, a few symbols, and control characters. Originally designed for teletype operations, it has found wide application in computers. ]GPS)/#(GPS), in which #(s) denotes the size of the set s. According to this formula, the degree of one's conformity to the group preference can be interpreted by the value of C. More specifically, when C equals 1, total agreement between the individual and the group is found. On the other extreme, when C equals 0, no similarity between them. Next, we define the degree of acceptance (A) of an individual by the society as follows: A = #(IPS [GRAPHIC EXPRESSION NOT REPRODUCIBLE IN ASCII]GPS)/#(IPS) When A equals 1, the work pieces chosen by the individual are also fully accepted by the group. On the other hand, when A equals 0, none of the selections are appreciated highly from the group's viewpoint. Compared with A, C is conceptually more suitable to measure how strong the society's opinions affect an individual's preference. Thus, in the following, we will employ C as the primary indicator for measuring the coherence of an individual to the learning society, and use A as an assistant indicator. Based on all logging files, we identified two types of changes in coherence: 1. Approaching coherence gradually, the behavior of four subjects, two from each group, can be categorized into this class. Take student F as an example. In Figure 1, we can observe that the conformity value C increases with evolving learning cycles and reaches the peak value 1 in the fourth cycle. This phenomenon clearly reflects the influence from the society. Furthermore, student F's degree of acceptance also climbs up along the learning cycles. This indirectly indicates that the individual preference set moves gradually toward the group set, instead of merely enlarging ENLARGING. Extending or making more comprehensive; as an enlarging statute, which is one extending the common law. itself to cover the group set. Figure 2 shows the degrees by student A. The conformity degree also increases. However, compared to student F, student A's degree of acceptance remains low across cycles. A possible explanation is that this student enlarges the scope of preferred samples with new styles learned from the group. 2. No coherence: Figure 3 shows an example. Student B demonstrates little similarity or overlap with the group. This phenomenon may result from the persistence (1) In a CRT, the time a phosphor dot remains illuminated after being energized. Long-persistence phosphors reduce flicker, but generate ghost-like images that linger on screen for a fraction of a second. of existent ex·is·tent adj. 1. Having life or being; existing. See Synonyms at real1. 2. Occurring or present at the moment; current. n. One that exists. Adj. 1. preference. We will use next analytical item to investigate it in more detail. Repetitive Samples We observed that some students produced the same color-matching samples across cycles. The motivation behind this behavior and its influence on social interaction are interesting research topics. In this study, we explore in this direction. According to the logging data, three students (C, D, and E) repeatedly yielded the same samples. They can be further divided into two categories based on the comparison between the grade granted by a student for individual work and the average score received from the society. 1. Group score worse than self-evaluation: students C and D fall in this category. Table 1 illustrates the scoring information of student C. He produced the same pattern in consecutive cycles, and there was a big gap between his own score and the group average. From the interview conducted after the experiment, we learned that he had doubts on the group score. So, he gave the sample another chance to be re-evaluated. However, as we can tell from the table, he gave the repeated sample a much lower score than before. This is another way to show how an individual is influenced by the group. 2. Both scores good: student E produced the same pattern in three consecutive cycles. From Table 2, we observe that both he and the group evaluated highly on this sample. From the interview, we knew that he was very confident of his capability for color-matching and liked that pattern very much. Reinforced by the appreciation from the society, he demonstrated the design consecutively as a result. Change of Preference Next, we investigated how preference changes by observing the preferred samples across cycles. Here we identified apparent difference between the two experiment groups. We took the top three samples in each cycle, based on the average score, and checked if they re-appeared in the next cycle. We found, in the second experiment, that with decreased number of samples across stages, the most highly-ranked samples remained in the preferred set across several cycles. In other words, in this experiment, group preference is converged early to a small set. In contrast to the first experiment, most top-ranked samples could not survive for more than two cycles with a fixed number of samples at each stage. The difference might result from the fact that students tend to expand their scopes of appreciation when they have more opportunities to explore new patterns. OBSERVATIONS AND INTERVIEWS Based on the observations during the experiments and the interview conducted afterwards af·ter·ward also af·ter·wards adv. At a later time; subsequently. afterwards or afterward Adverb later [Old English æfterweard] Adv. 1. , we point out the following items that deserve further investigation. 1. A student indicated that he realized during the learning process that he did not prefer any pattern with a black bottom part. Another student found that his evaluative scores were getting closer to the group's scores when the experiment proceeded. Because the learning environment supports design-pattern demonstration and peer evaluation, a student can retrospect behavior and observe some changes. Identifying one's own thinking framework by way of retrospection ret·ro·spect n. A review, survey, or contemplation of things in the past. v. ret·ro·spect·ed, ret·ro·spect·ing, ret·ro·spects v.intr. 1. To contemplate the past. 2. is a very important feature in constructive learning. We believe that the proposed environment has a positive impact in this aspect. 2. Since we conducted the experiments in a synchronous manner, i.e., all participants were online and did sample-generation/evaluation in the same time period, some students had to wait for others to finish their jobs. Some of them felt impatient im·pa·tient adj. 1. Unable to wait patiently or tolerate delay; restless. 2. Unable to endure irritation or opposition; intolerant: impatient of criticism. 3. with unexpected delay. We suggested two remedies for this issue. One was to have the participant exchange their comments on others' work in addition to evaluation. The other was to conduct the Learning-by-Judging procedure in an asynchronous way: to set a deadline for each stage so that the participants can switch to other things after finishing their own assignment. 3. Some participants indicated that evaluating too many samples made them nervous. In the meantime Adv. 1. in the meantime - during the intervening time; "meanwhile I will not think about the problem"; "meantime he was attentive to his other interests"; "in the meantime the police were notified" meantime, meanwhile , however, some participants felt that if the experiments were cut short, they would not be able to identify apparent changes. Again, we found that the asynchronous approach may be a good solution to this anxiety problem. We also suggested that more sophisticated designs may prove to be more suitable in this kind of environment. When there are more things and more complicated situations to consider, a user is likely able to avoid the boredom Boredom See also Futility. Aldegonde, Lord St. bored nobleman, empty of pursuits. [Br. Lit.: Lothair] Baudelaire, Charles (1821–1867) French poet whose dissipated lifestyle led to inner despair. [Fr. Lit. resulting from only giving scores. CONCLUDING REMARKS We believe that the concept of Learning-by-Judging is worthwhile for further exploration because it shows the following characteristics, which provide very good assistance to conventional pedagogy: 1. Learning-by-Judging encourages active learning. Judging is a relatively easy activity that can alleviate Alleviate To make something easier to be endured. Mentioned in: Kinesiology, Applied pressure and encourage early involvement. Giving scores is also simple in terms of expression, thus expressive ability is no longer such a crucial factor as observed in peer competition in traditional classrooms. Furthermore, anonymity provides a comfortable environment for trial-and-error. 2. Learning-by-Judging promotes information sharing See data conferencing. and social interaction. Peer evaluation is a cooperation-embedded activity. Participants share experiences and opinions by way of networking in a natural way. 3. Learning-by-Judging helps acquiring integrated knowledge. Both design and evaluation are the results of high-level knowledge integration. Moreover, participants can identify their existent cognitive schemes through observation and comparison. Meta-cognition and meta-learning can be achieved in this kind of learning environment. 4. Learning-by-Judging benefits instruction management. Based on the logging files provided by the system, a teacher can check the progress of individual students. When a student's cognitive or communicative com·mu·ni·ca·tive adj. 1. Inclined to communicate readily; talkative. 2. Of or relating to communication. com·mu patterns are identified, necessary aids can be provided by the teacher in time. 5. Learning-by-Judging supports feedback information. By using indicators such as those introduced above, the system is able to give students useful information about their preference, their ways of interaction, and the influence from the society. Relevant design principles can be explicitly explained after their preferred samples are analyzed. Knowledge acquired this way makes sense to the students and is proved to be more useful than simple drill and practice. Finally, we suggest that the Learning-by-Judging environment can be improved along the following dimensions: 1. To support both synchronous and asynchronous learning Asynchronous learning is a teaching method using the asynchronous delivery of training materials or content using computer network technology. It is an approach to providing technology-based training that incorporates learner-centric models of instruction. . 2. To integrate various communication channels so that more collaborative information can be exchanged during learning. 3. To connect the environment to relevant hypermedia hypermedia: see hypertext. The use of hyperlinks, regular text, graphics, audio and video to provide an interactive, multimedia presentation. All the various elements are linked, enabling the user to move from one to another. courseware Educational software. See CBT and OpenCourseWare. (application) courseware - Programs and data used in Computer-Based Training. so that participant can get appropriate assistance. Note This work was sponsored by the National Science Council, Taiwan, Project Number: NSC NSC abbr. National Security Council Noun 1. NSC - a committee in the executive branch of government that advises the president on foreign and military and national security; supervises the Central Intelligence Agency 86-2511-S-009-004ICL (International Computers Ltd., London) The former name of Fujitsu Services, the European-centered arm of the global Fujitsu Group and one of the leading IT services companies in Europe, the Middle East and Africa. . References Hooper, S., (1992). Cooperative learning and computer-based instruction. Educational Technology Research & Development, 40(3): 21-38. Johnson, D.W., & Johnson, R.T. (1990). Cooperative learning and achievement. In S. Sharan (Ed.). Cooperative learning: theory an research. New York New York, state, United States New York, Middle Atlantic state of the United States. It is bordered by Vermont, Massachusetts, Connecticut, and the Atlantic Ocean (E), New Jersey and Pennsylvania (S), Lakes Erie and Ontario and the Canadian province of : Praeger Publishers, 23-37. Jonassen, D.H. (1994). Thinking technology: Toward a constructivism design model. Educational Technology, 34(4), 34-37. Posner, G., Strike, K., Hewson, P., & Gertzog, W. (1982). Accoummodation of a scientific conception: Toward a theory of conceptual change. Science Education, 66, 211-227. Resnick, M. (1996). Distributed Constructionism. Proceedings of the International Conference on the Learning Sciences. Richartz, M., & Rudebush, T.D. (1990). Collaboration in hypermedia environments. In D.H. Jonassen & H. Mandl (Eds.). Design hypermedia for learning. Berlin: Springer-Verlag, 311-317. Steeples, C. (1993). A computer-mediated learning environment for adult learners Adult learner is a term used to describe any person socially accepted as an adult who is in a learning process, whether it is formal education, informal learning, or corporate-sponsored learning. : Supporting collaboration and self-direction. Journal of Educational Multimedia and Hypermedia, 2(4), 443-454. Sun, C.T., & Chou, C. (1996). Experiencing CORAL: Design and implementation of distant cooperative learning. IEEE (Institute of Electrical and Electronics Engineers, New York, www.ieee.org) A membership organization that includes engineers, scientists and students in electronics and allied fields. Transactions on Education, 39(3), 357-366.
Student C: Repeated Sample
Self Score Self Rank Group Score Group Rank
9 2 5.4 10
6 9 5.4 13
Student E: Repeated Sample
Self Score Self Rank Group Score Group Rank
10 1 9 1
10 1 9.4 1
10 1 9 1
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