Fatimah A. Almulhim , Dalia Kamal Alnagar , ELsiddig Idriss Mohamed , Nuran M. Hassan
{"title":"Dependent and independent sampling techniques for modeling radiation and failure data","authors":"Fatimah A. Almulhim , Dalia Kamal Alnagar , ELsiddig Idriss Mohamed , Nuran M. Hassan","doi":"10.1016/j.jrras.2025.101377","DOIUrl":"10.1016/j.jrras.2025.101377","url":null,"abstract":"<div><div>Ordered set sampling techniques are among the most popular current techniques used in estimation, especially for small sample sizes, and their efficiency has been proven in many articles as the best estimators for unknown parameters for several distributions. Systematic ranked set sampling and centralized ranked set sampling are two recently developed techniques in ranked set sampling that fall under dependent sampling techniques. The probability density function for each using the inverse Lomax distribution is extracted. Furthermore, the maximum likelihood method is used to estimate the values of the Inverse Lomax distribution parameters using several ordered set sampling techniques. Several of these techniques are new and have not been used in various distributions. There are two types of ranked set sampling techniques that were used: independent set sampling includes ranked set sampling (RSS), and dependent set sampling includes neoteric ranked set sampling (NRSS), extended neoteric ranked set sampling (ENRSS), systematic ranked set sampling (SRSS), and centralized ranked set sampling (CRSS) In the Monto Carlo simulation with varying sample sizes, the NRSS, ENRSS, SRSS, and CRSS estimators outperformed the RSS estimator. Additionally, the ENRSS method is more effective than competing RSS-based techniques. It has also been demonstrated that CRSS is not as effective as other techniques, particularly for large mean square errors. Finally, two real datasets related to radiation and failure rate show how the distribution can change depending on the sampling techniques.</div></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":"18 2","pages":"Article 101377"},"PeriodicalIF":1.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Diaa S. Metwally , Muhammad Ali , Safar M. Alghamdi , Dost Muhammad Khan
{"title":"A novel hybrid model to forecast the stock price based on CEEMDAN and support vector regression","authors":"Diaa S. Metwally , Muhammad Ali , Safar M. Alghamdi , Dost Muhammad Khan","doi":"10.1016/j.jrras.2025.101385","DOIUrl":"10.1016/j.jrras.2025.101385","url":null,"abstract":"<div><div>For the last few decades, predicting the financial time series such as stock prices remained an interesting area for researchers. Because of the nonstationary and nonlinear characteristics, it is difficult to predict its future trajectory accurately using simple time series or econometric models. Therefore, in this study an attempt has been made to forecast stock prices using an improved hybrid ensemble model based on data decomposition technique such as complementary ensemble empirical mode decomposition with adaptive noise (CEEMDAN) and well known supervised machine learning algorithm called support vector regression (SVR). To check the efficiency of the proposed model the KSE-100 index daily closing prices of Pakistan stock exchange (PSX) in the time interval January 1, 2019 to April 26, 2024 has been used. Comparison of the proposed hybrid CEEMDAN-SVR model is made with other models such as CEEMDAN-Decision Tree (DT), CEEMDAN-Random Forest (RF), CEEMDAN-K nearest neighbors (KNN), and CEEMDAN-Artificial Neural Network (ANN). It is evident from the empirical findings that the proposed model performs better in terms of accuracy metrics such as Root Mean Square Error (RMSE), Mean Absolute Error (MAE), Mean Absolute Percentage Error (MAPE), and the coefficient of determination (R<sup>2</sup>). The numerical values of these statistical metrics for our proposed CEEMDAN-SVR model are 1562.116, 1401.253, 2.489, and 0.976, which are the lowest compared to other hybrid models. Therefore, advised to the financial time series experts to predict the financial time series utilizing this novel hybrid model.</div></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":"18 2","pages":"Article 101385"},"PeriodicalIF":1.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526721","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Chunmei Fan , Runtong Lu , Dilisaer Naisula , Fei Bi , Xin Liu , Shui Wang , Jihang Sun
{"title":"Image quality assessment of the CARE kV for pediatric CT angiography: A feasibility study of over 50% effective dose reduction","authors":"Chunmei Fan , Runtong Lu , Dilisaer Naisula , Fei Bi , Xin Liu , Shui Wang , Jihang Sun","doi":"10.1016/j.jrras.2025.101386","DOIUrl":"10.1016/j.jrras.2025.101386","url":null,"abstract":"<div><h3>Objective</h3><div>To evaluate whether the application of CARE kV automatic tube voltage modulation technology can reduce the radiation dose required for CT angiography (CTA) in children rapidly, conveniently, and effectively while maintaining image quality.</div></div><div><h3>Methods</h3><div>57 pediatric abdominal CTA were enrolled in the study and control groups. The tube voltage was automatically modulated using CARE kV. Dose-saving optimization indices used for the study and control groups were 12 (preference for a lower tube voltage) and 3 (preference for a higher tube voltage), respectively. Tube voltage and effective dose (ED) were recorded for the two groups, and a multiple linear regression analysis was used to scrutinize factors influencing voltage selection and radiation dose. Two reviewers subjectively evaluated the image quality using a 5-point Likert scale (3 points: qualified; 5 points: best), and the contrast-to-noise ratio (CNR) was calculated.</div></div><div><h3>Results</h3><div>The most commonly selected tube voltage was 70 kV (36/57, 63.16%) and 100 kV (30/57, 52.63%) in the study and control groups, respectively (<em>p</em> < 0.001). The ED of the study group was 1.58 ± 1.05 mSv, which was 57.07% lower than that in the control group (<em>p</em> < 0.001). Both voltage selection and ED exhibited a negative correlation with the DI value. The small artery display ability of the two groups was 4.05 ± 0.64 and 4.11 ± 0.65 (<em>p</em> = 0.31). No statistically significant difference was found for the aortic CNR between the two groups (<em>p</em> = 0.15).</div></div><div><h3>Conclusion</h3><div>CARE kV is a rapid, convenient, and effective way to reduce the radiation dose in CTA by >50% in children.</div></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":"18 2","pages":"Article 101386"},"PeriodicalIF":1.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526720","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis of radiation and corn borer data using discrete Poisson Xrama distribution","authors":"Abdullah M. Alomair , Muhammad Ahsan-ul-Haq","doi":"10.1016/j.jrras.2025.101388","DOIUrl":"10.1016/j.jrras.2025.101388","url":null,"abstract":"<div><div>In this study, a new one-parameter count distribution is introduced by compounding Poisson and Xrama distributions. The Poisson Xrama (PXr) distribution is a tractable addition to probabilistic modeling, merging the robustness of the Poisson distribution with the flexibility of the Xrama distribution, offering a versatile framework for analyzing count data. We derived and explored its key statistical properties. The mean and variance show a decreasing pattern with an increase in parameter values. The model parameter is estimated via maximum likelihood, moment matching, and Bayesian estimation approaches. A detailed simulation study is utilized to illustrate the behavior of derived estimators. The maximum likelihood approach outperforms the method of moments in terms of accuracy and precision across different sample sizes and parameter choices. The flexibility and applicability of the new count model are accessed using two datasets about European corn borer and cytogenetic dosimetry lesions. It is identified that the new count model efficiently analyzed both datasets as compared to considered competitive distributions.</div></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":"18 2","pages":"Article 101388"},"PeriodicalIF":1.7,"publicationDate":"2025-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ibrahim A. AlSulaiman , Mohammed Sallah , Ghada A. Khouqeer , Roxana Rusu-Both , Elmetwally M. Abdelrazek , Ahmed Elgarayhi
{"title":"Enhanced automatic diagnosis of cecum colorectal cancer using novel artificial neural network on abdominal CT radiological scans","authors":"Ibrahim A. AlSulaiman , Mohammed Sallah , Ghada A. Khouqeer , Roxana Rusu-Both , Elmetwally M. Abdelrazek , Ahmed Elgarayhi","doi":"10.1016/j.jrras.2025.101358","DOIUrl":"10.1016/j.jrras.2025.101358","url":null,"abstract":"<div><div>One of the most common causes of death is colorectal cancer (CRC). The spread of cancer cells to other organs increases dramatically because of delayed detection. Presently, the only ways to increase survival rates and reduce cancer-related mortality are via prompt diagnosis and customized therapies. Artificial intelligence (AI) may significantly aid professionals in identifying CRC cases with less effort, time, and cost. This paper presents a novel convolutional neural network (CNN) for detection known as COCDNet and two sets of modifications to CNN models for identifying cecum CRC in computed tomography (CT) radiological scans. Before images are included in the architecture, they are preprocessed to reduce the noise. The data is then sent into a COCDNet model that holds 22 layers. On other hand, two types of transfer learning (TL) are used to four popular CNN models: DarkNet19, VGG16, VGG19, and AlexNet. The dataset comprises 1695 images of abdomen CT scans, categorized into two main classes as cecum cancer and normal images. COCDNet achieves the highest performance, proving an accuracy of 97.04%, an F1-score of 95.80%, and recall approaching 100%. These measures demonstrate that COCDNet is a dependable tool for early CRC diagnosis because it can both reliably detect cancer and reduce false positives. The suggested model success in detecting cecum CRC demonstrates the value of this work that improves AI models for bettering healthcare systems and saving lives.</div></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":"18 2","pages":"Article 101358"},"PeriodicalIF":1.7,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143512336","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A numerical analysis of magnetohydrodynamic water-based AA7072 nanofluid flow over a permeable stretching surface with slip conditions","authors":"Anwar Ali Aldhafeeri , Humaira Yasmin","doi":"10.1016/j.jrras.2025.101356","DOIUrl":"10.1016/j.jrras.2025.101356","url":null,"abstract":"<div><div>The nanofluid flow on a permeable stretching sheet with slip conditions has significant applications in various technological and industrial domains, especially those involving water-based AA7072 nanofluid flow. This nanofluid is ideal for increasing cooling systems in higher-performance computing and microelectronics. It can optimize processes like hyperthermia treatments and drug delivery due to its effective thermal management properties. The water-based AA7072 nanofluid is important for enhancing the efficiency of nuclear reaction cooling, solar collectors, and geothermal energy extraction. This work investigates nanofluid flow on a permeable stretching sheet with slip boundary conditions. The impact of the magnetic field is used in the normal direction of fluid motion. The influence of Joule heating, heat source viscous dissipation, and activation energy is also used in the work. The leading equations have changed to dimensionless notation and have been evaluated through the bvp4c technique. It has been highlighted in this study that, with growth in slip factor for velocity along the x-direction and y-direction there is a decrease in both primary and secondary velocities as well as in temperature and concentration distributions. Growth in the porosity factor causes a reduction in primary velocity and augmentation in secondary velocity. Primary velocity has declined while secondary velocity and thermal distribution have amplified with progression in magnetic factor and concentration of nanoparticles. Growth in Brownian motion has amplified thermal distribution while retarded concentration distribution. Thermal distribution has augmented with growth in Eckert number and heat source factor. Concentration panels have weakened with growth in chemically reactive factor and Schmidt number while augmented with an escalation in the activation energy factor.</div></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":"18 2","pages":"Article 101356"},"PeriodicalIF":1.7,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143488456","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Diagnostic accuracy of ultrasound in hyperthyroidism: A comprehensive review of recent studies","authors":"Dawei Wang , Chao Xie , Xuena Zheng , Min Li","doi":"10.1016/j.jrras.2025.101370","DOIUrl":"10.1016/j.jrras.2025.101370","url":null,"abstract":"<div><div>Color Doppler ultrasound is increasingly valued as a useful tool in the diagnosis of hyperthyroidism. It enables evaluation of the vascularity of the thyroid gland, and its application in differentiation of different etiologies like Graves' disease and toxic nodular goiter has increased lately. The following review covers diagnostic accuracy by ultrasound compared with the conventional methods used, which are thyroid scintigraphy and fine needle aspiration cytology (FNAC). For instance, it emphasizes the non-invasive method, cost-effectiveness, and accessibility with the ultrasound diagnostic method over conventional diagnosis. Further, it explores advanced techniques, including ultrasonic elastography and Doppler imaging, to determine the potential for improving accuracy in diagnosis. Important findings are that with high-resolution images of ultrasound diagnostics, there are still problems like dependency on the operator and specificity. The review also touches on inadequacies for the evaluation of long-term effects of ultrasound-guided treatment. Future innovations of technology like artificial intelligence and contrast-enhanced ultrasound will indeed surpass these developments in terms of diagnostic capabilities. This review therefore sums up that although ultrasound is a fundamental diagnostic method in the management of hyperthyroidism, further research and technological development will be needed to render it effective in this clinical use.</div></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":"18 2","pages":"Article 101370"},"PeriodicalIF":1.7,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143488457","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Validity of dynamic optical breast imaging (DOBI) in diagnosis of malignant features of breast cancer","authors":"Tong Hu , Jianguo Chen , Lili Qiao , Yaner Gu","doi":"10.1016/j.jrras.2025.101328","DOIUrl":"10.1016/j.jrras.2025.101328","url":null,"abstract":"<div><h3>Objective</h3><div>To investigate the effectiveness of dynamic optical breast imaging technology (DOBI) in diagnosing malignant features of breast cancer.</div></div><div><h3>Methods</h3><div>213 patients with breast diseases underwent DOBI examination followed by ultrasound-guided hollow-core needle aspiration biopsy within one week. Diagnostic accuracy of DOBI for breast masses of different lesion sizes and breast cancers of different pathological types was analyzed.</div></div><div><h3>Results</h3><div>Pathological biopsy identified 20 malignant lesions and 193 benign lesions among the study participants. A total of 247 lesions were detected in benign cases, while 24 lesions were detected in malignant cases. The diagnostic accuracies of DOBI for breast masses with diameters ≤1 cm, 1–2 cm, and ≥2 cm were found to be 82.35%, 82.83%, and 87.60%, respectively. For invasive ductal carcinoma, ductal carcinoma in situ, and invasive lobular carcinoma, DOBI exhibited diagnostic accuracies of 53.85%, 60.00%, and 33.33%, respectively. Using breast puncture biopsy as gold standard, the sensitivity, specificity, misdiagnosis rate, missed diagnosis rate, and area under the curve of DOBI in diagnosing breast cancer were determined as 80.00%, 84.21%, 15.03%, 20.00%, and 0.862 (95% CI: 0.613–0.978), respectively.</div></div><div><h3>Conclusion</h3><div>DOBI holds promising application prospects in diagnosing malignant features of breast cancer, providing an effective basis for early diagnosis and treatment.</div></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":"18 2","pages":"Article 101328"},"PeriodicalIF":1.7,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143488458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Kashif Ullah , Hakeem Ullah , Mehreen Fiza , Aasim Ullah Jan , Ali Akgül , A.S. Hendy , Samira Elaissi , Ibrahim Mahariq , Ilyas Khan
{"title":"Neural network analysis of ternary hybrid nanofluid flow with Darcy-Forchheimer effects","authors":"Kashif Ullah , Hakeem Ullah , Mehreen Fiza , Aasim Ullah Jan , Ali Akgül , A.S. Hendy , Samira Elaissi , Ibrahim Mahariq , Ilyas Khan","doi":"10.1016/j.jrras.2025.101362","DOIUrl":"10.1016/j.jrras.2025.101362","url":null,"abstract":"<div><div>The study develops an advanced supervised learning algorithm integrating an artificial recurrent neural network (ARNN) with the Levenberg-Marquardt method (ARNN-LMM) to model the two-dimensional nonlinear convective flow of a ternary hybrid nanofluid over a nonlinear stretching surface (2D-NCFTNSS). The research addresses a critical gap in predictive modeling by introducing a ternary hybrid nanofluid (THNF) system, incorporating Brownian motion, thermophoresis, nonlinear thermal radiation, and Darcy-Forchheimer effects into the governing equations, which are transformed into a dimensionless form for numerical analysis. The proposed ARNN-LMM framework provides an intelligent computing approach for approximating numerical solutions with high accuracy. The study's novelty lies in the first-time application of ARNN-LMM to solving complex nonlinear transport phenomena and analyzing the impact of physical parameters on flow, thermal, and concentration profiles. Results reveal that velocity decreases with increasing nanoparticle concentration, porosity, and inertia factors, while thermal characteristics improve with higher radiation, Brownian motion, thermophoresis, and heat generation. The percentage increase in the Nusselt number is demonstrated through a statistical chart to support the study. The model's accuracy is validated using regression (RG) index measurements, error histograms (EH), auto-correlation (AC) analysis, and convergence curves, achieving a minimal mean square error (MSE) ranging between E−10 and E−3. Future prospects include extending the model to three-dimensional geometries, experimental validation, and real-time applications in thermal energy systems, biomedical cooling, and aerospace heat management. The study highlights the potential of ARNN-LMM for solving nonlinear fluid dynamics problems with superior precision and computational efficiency.</div></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":"18 2","pages":"Article 101362"},"PeriodicalIF":1.7,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143488460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abdullah M. Alomair , Muhammad Nasir Saddam Hussain , Amara Javed , Muhammad Ahsan-ul-Haq
{"title":"A new discrete Burr III distribution for modeling radiation and biological data","authors":"Abdullah M. Alomair , Muhammad Nasir Saddam Hussain , Amara Javed , Muhammad Ahsan-ul-Haq","doi":"10.1016/j.jrras.2025.101366","DOIUrl":"10.1016/j.jrras.2025.101366","url":null,"abstract":"<div><div>A new three-parameter discrete probability distribution entitled “discrete modified Burr III” distribution is introduced using the survival discretization approach. We derived and explored various statistical properties such as moments, dispersion index, mean deviation, and order statistics. Additionally, we also explore its reliability characteristics including survival, hazard function, cumulative hazard function, and residual reliability function. The parameters of the model are estimated using the maximum likelihood estimation approach. A detailed Monte Carlo simulation is utilized to assess the performance of derived estimators across varying sample sizes. The utility of the new model is evaluated using biological and radiation datasets, demonstrating its better fit compared to considered competing discrete distribution. Additionally, we also analyzed these datasets using the Bayesian estimation approach.</div></div>","PeriodicalId":16920,"journal":{"name":"Journal of Radiation Research and Applied Sciences","volume":"18 2","pages":"Article 101366"},"PeriodicalIF":1.7,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143508513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}