{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,20]],"date-time":"2025-11-20T13:17:34Z","timestamp":1763644654848,"version":"3.40.5"},"reference-count":50,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2025,4,24]],"date-time":"2025-04-24T00:00:00Z","timestamp":1745452800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,4,24]],"date-time":"2025-04-24T00:00:00Z","timestamp":1745452800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"Natural Science Foundation of Guangdong Province of China","award":["2023A1515011466"],"award-info":[{"award-number":["2023A1515011466"]}]},{"name":"National Natural Science Foundation of China Special Project","award":["12150007"],"award-info":[{"award-number":["12150007"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comp. Appl. Math."],"published-print":{"date-parts":[[2025,7]]},"DOI":"10.1007\/s40314-025-03204-z","type":"journal-article","created":{"date-parts":[[2025,4,24]],"date-time":"2025-04-24T07:31:19Z","timestamp":1745479879000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Modified conjugate gradient iterative algorithm for the generalized coupled Sylvester matrix equations and its application in image restoration"],"prefix":"10.1007","volume":"44","author":[{"given":"Zebin","family":"Chen","sequence":"first","affiliation":[]},{"given":"Yanwei","family":"Ding","sequence":"additional","affiliation":[]},{"given":"Xuesong","family":"Chen","sequence":"additional","affiliation":[]},{"given":"Jinxiu","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Hui-Jie","family":"Sun","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,4,24]]},"reference":[{"key":"3204_CR1","first-page":"571","volume":"202","author":"M Dehghan","year":"2008","unstructured":"Dehghan M, Hajarian M (2008) An iterative algorithm for the reflexive solutions of the generalized coupled Sylvester matrix equations and its optimal approximation. Appl Math Comput 202:571\u2013588","journal-title":"Appl Math Comput"},{"key":"3204_CR2","doi-asserted-by":"crossref","first-page":"3285","DOI":"10.1016\/j.apm.2011.01.022","volume":"35","author":"M Dehghan","year":"2011","unstructured":"Dehghan M, Hajarian M (2011) Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations. Appl Math Model 35:3285\u20133300","journal-title":"Appl Math Model"},{"issue":"3","key":"3204_CR3","first-page":"195","volume":"5","author":"M Dehghan","year":"2024","unstructured":"Dehghan M, Karamali G, Shirilord A (2024) An iterative scheme for a class of generalized Sylvester matrix equations. AUT J Math Comput 5(3):195\u2013215","journal-title":"AUT J Math Comput"},{"key":"3204_CR4","doi-asserted-by":"crossref","unstructured":"Dehghan M, Mohammadi-Arani R (2017) Generalized product-type methods based on bi-conjugate gradient (GPBiCG) for solving shifted linear systems. Comput Appl Math 36","DOI":"10.1007\/s40314-016-0315-y"},{"key":"3204_CR5","doi-asserted-by":"crossref","DOI":"10.1016\/j.cam.2023.115107","volume":"426","author":"F Ding","year":"2023","unstructured":"Ding F (2023) Least squares parameter estimation and multi-innovation least squares methods for linear fitting problems from noisy data. J Comput Appl Math 426:115107","journal-title":"J Comput Appl Math"},{"issue":"2","key":"3204_CR6","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/j.sysconle.2004.06.008","volume":"54","author":"F Ding","year":"2004","unstructured":"Ding F, Chen T-W (2004) Iterative least-squares solutions of coupled Sylvester matrix equations. Syst Control Lett 54(2):95\u2013107","journal-title":"Syst Control Lett"},{"issue":"8","key":"3204_CR7","doi-asserted-by":"crossref","first-page":"1216","DOI":"10.1109\/TAC.2005.852558","volume":"50","author":"F Ding","year":"2005","unstructured":"Ding F, Chen T-W (2005) Gradient based iterative algorithms for solving a class of matrix equations. IEEE Trans Autom Control 50(8):1216\u20131221","journal-title":"IEEE Trans Autom Control"},{"issue":"6","key":"3204_CR8","doi-asserted-by":"crossref","first-page":"2269","DOI":"10.1137\/S0363012904441350","volume":"44","author":"F Ding","year":"2006","unstructured":"Ding F, Chen T-W (2006) On iterative solutions of general coupled matrix equations. SIAM J Control Optim 44(6):2269\u20132284","journal-title":"SIAM J Control Optim"},{"issue":"15","key":"3204_CR9","doi-asserted-by":"crossref","first-page":"1588","DOI":"10.1049\/iet-cta.2013.1044","volume":"8","author":"F Ding","year":"2014","unstructured":"Ding F, Zhang H-M (2014) Gradient-based iterative algorithm for a class of the coupled matrix equations related to control systems. IET Control Theory Appl 8(15):1588\u20131595","journal-title":"IET Control Theory Appl"},{"issue":"1","key":"3204_CR10","first-page":"41","volume":"197","author":"F Ding","year":"2008","unstructured":"Ding F, Peter XL, Ding J (2008) Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle. Appl Math Comput 197(1):41\u201350","journal-title":"Appl Math Comput"},{"key":"3204_CR11","doi-asserted-by":"crossref","DOI":"10.1016\/j.arcontrol.2024.100942","volume":"57","author":"F Ding","year":"2024","unstructured":"Ding F, Xu L, Zhang X, Zhou Y-H, Luan X-L (2024) Recursive identification methods for general stochastic systems with colored noises by using the hierarchical identification principle and the filtering identification idea. Annu Rev Control 57:100942","journal-title":"Annu Rev Control"},{"issue":"1","key":"3204_CR12","doi-asserted-by":"crossref","first-page":"38","DOI":"10.1109\/9.109637","volume":"37","author":"X-B Feng","year":"1992","unstructured":"Feng X-B, Kenneth AL, Ji Y-D, Chizeck HJ (1992) Stochastic stability properties of jump linear systems. IEEE Trans Autom Control 37(1):38\u201353","journal-title":"IEEE Trans Autom Control"},{"key":"3204_CR13","doi-asserted-by":"crossref","first-page":"686","DOI":"10.1016\/j.camwa.2018.05.010","volume":"76","author":"M Hajarian","year":"2018","unstructured":"Hajarian M (2018) Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm. Comput Math Appl 76:686\u2013700","journal-title":"Comput Math Appl"},{"key":"3204_CR14","first-page":"174","volume":"334","author":"J-J Hu","year":"2018","unstructured":"Hu J-J, Ma C-F (2018) Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester-conjugate matrix equations. Appl Math Comput 334:174\u2013191","journal-title":"Appl Math Comput"},{"key":"3204_CR15","doi-asserted-by":"crossref","first-page":"532","DOI":"10.1016\/j.camwa.2017.04.035","volume":"74","author":"B-H Huang","year":"2017","unstructured":"Huang B-H, Ma C-F (2017) On the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equations. Comput Math Appl 74:532\u2013555","journal-title":"Comput Math Appl"},{"key":"3204_CR16","doi-asserted-by":"crossref","first-page":"3168","DOI":"10.1016\/j.jfranklin.2018.02.014","volume":"355","author":"B-H Huang","year":"2018","unstructured":"Huang B-H, Ma C-F (2018) The relaxed gradient-based iterative algorithms for a class of generalized coupled Sylvester-conjugate matrix equations. J Frankl Inst 355:3168\u20133195","journal-title":"J Frankl Inst"},{"key":"3204_CR17","first-page":"58","volume":"328","author":"B-H Huang","year":"2018","unstructured":"Huang B-H, Ma C-F (2018) An iterative algorithm for the least Frobenius norm least squares solution of a class of generalized coupled Sylvester-transpose linear matrix equations. Appl Math Comput 328:58\u201374","journal-title":"Appl Math Comput"},{"issue":"7","key":"3204_CR18","doi-asserted-by":"crossref","first-page":"777","DOI":"10.1109\/9.57016","volume":"35","author":"Y-D Ji","year":"1990","unstructured":"Ji Y-D, Chizeck HJ (1990) Controllability, stabilizability, and continuous-time Markovian jump linear quadratic control. IEEE Trans Autom Control 35(7):777\u2013788","journal-title":"IEEE Trans Autom Control"},{"issue":"1\/3","key":"3204_CR19","first-page":"515","volume":"87","author":"J Lam","year":"2010","unstructured":"Lam J, Duan G-R, Zhou B (2010) Gradient-based maximal convergence rate iterative method for solving linear matrix equations. Int J Comput Math 87(1\/3):515\u2013527","journal-title":"Int J Comput Math"},{"issue":"1","key":"3204_CR20","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.camwa.2017.08.041","volume":"75","author":"C-Q Lv","year":"2018","unstructured":"Lv C-Q, Ma C-F (2018) BCR method for solving generalized coupled Sylvester equations over centrosymmetric or anti-centrosymmetric matrix. Comput Math Appl 75(1):70\u201388","journal-title":"Comput Math Appl"},{"issue":"18","key":"3204_CR21","doi-asserted-by":"crossref","first-page":"8057","DOI":"10.1016\/j.jfranklin.2017.09.029","volume":"354","author":"L-L Lv","year":"2017","unstructured":"Lv L-L, Zhang Z, Zhang L (2017) A parametric poles assignment algorithm for second-order linear periodic systems. J Frankl Inst 354(18):8057\u20138071","journal-title":"J Frankl Inst"},{"issue":"15","key":"3204_CR22","doi-asserted-by":"crossref","first-page":"7691","DOI":"10.1016\/j.jfranklin.2018.07.045","volume":"355","author":"L-L Lv","year":"2018","unstructured":"Lv L-L, Zhang Z, Zhang L, Liu X-X (2018) Gradient based approach for generalized discrete-time periodic coupled Sylvester matrix equations. J Frankl Inst 355(15):7691\u20137705","journal-title":"J Frankl Inst"},{"issue":"5","key":"3204_CR23","doi-asserted-by":"crossref","first-page":"393","DOI":"10.1016\/0167-6911(88)90098-9","volume":"11","author":"M Mariton","year":"1988","unstructured":"Mariton M (1988) Almost sure and moments stability of jump linear systems. Syst Control Lett 11(5):393\u2013397","journal-title":"Syst Control Lett"},{"issue":"3","key":"3204_CR24","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1002\/asjc.328","volume":"13","author":"Q Niu","year":"2011","unstructured":"Niu Q, Wang X, Lu L-Z (2011) A relaxed gradient based algorithm for solving Sylvester equations. Asian J Control 13(3):461\u2013464","journal-title":"Asian J Control"},{"key":"3204_CR25","doi-asserted-by":"crossref","first-page":"154","DOI":"10.1006\/jmaa.1993.1341","volume":"179","author":"LVC Oswaldo","year":"1993","unstructured":"Oswaldo LVC, Maracele DF (1993) Stability results for discrete-time linear systems with Markovian jumping parameters. J Math Anal Appl 179:154\u2013178","journal-title":"J Math Anal Appl"},{"issue":"10","key":"3204_CR26","doi-asserted-by":"crossref","first-page":"4282","DOI":"10.1016\/j.jfranklin.2018.04.008","volume":"355","author":"X-P Sheng","year":"2018","unstructured":"Sheng X-P (2018) A relaxed gradient based algorithm for solving generalized coupled Sylvester matrix equations. J Frankl Inst 355(10):4282\u20134297","journal-title":"J Frankl Inst"},{"issue":"3","key":"3204_CR27","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1016\/j.camwa.2017.05.008","volume":"74","author":"X-P Sheng","year":"2017","unstructured":"Sheng X-P, Sun W-W (2017) The relaxed gradient based iterative algorithm for solving matrix equations $$A_{i}XB_{i} = F_{i}$$. Comput Math Appl 74(3):597\u2013604","journal-title":"Comput Math Appl"},{"key":"3204_CR28","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/s40314-024-02687-6","volume":"43","author":"A Shirilord","year":"2024","unstructured":"Shirilord A, Dehghan M (2024) Gradient-based iterative approach for solving constrained systems of linear matrix equations. Comput Appl Math 43:211","journal-title":"Comput Appl Math"},{"key":"3204_CR29","doi-asserted-by":"crossref","first-page":"474","DOI":"10.1016\/j.apnum.2024.01.016","volume":"198","author":"A Shirilord","year":"2024","unstructured":"Shirilord A, Dehghan M (2024) Iterative method for constrained systems of conjugate transpose matrix equations. Appl Numer Math 198:474\u2013507","journal-title":"Appl Numer Math"},{"issue":"12","key":"3204_CR30","doi-asserted-by":"crossref","DOI":"10.1016\/j.jfranklin.2024.107021","volume":"361","author":"A Shirilord","year":"2024","unstructured":"Shirilord A, Dehghan M (2024) Iterative algorithm for a generalized matrix equation with momentum acceleration approach and its convergence analysis. J Frankl Inst 361(12):107021","journal-title":"J Frankl Inst"},{"key":"3204_CR31","doi-asserted-by":"crossref","unstructured":"Shirilord A, Dehghan M (2024) Solving a system of complex matrix equations using a gradient-based method and its application in image restoration. Numer Algorithms","DOI":"10.1007\/s11075-024-01856-2"},{"issue":"1","key":"3204_CR32","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1080\/002071797224360","volume":"67","author":"A Varga","year":"1997","unstructured":"Varga A (1997) Periodic Lyapunov equations: some applications and new algorithms. Int J Control 67(1):69\u201388","journal-title":"Int J Control"},{"issue":"5","key":"3204_CR33","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.1109\/9.855576","volume":"45","author":"A Varga","year":"2000","unstructured":"Varga A (2000) Robust and minimum norm pole assignment with periodic state feedback. IEEE Trans Autom Control 45(5):1017\u20131022","journal-title":"IEEE Trans Autom Control"},{"issue":"4","key":"3204_CR34","first-page":"2002","volume":"14","author":"W-L Wang","year":"2024","unstructured":"Wang W-L, Song C-Q, Wang W-L (2024) A new BCR method for coupled operator equations with submatrix constraint. J Appl Anal Comput 14(4):2002\u20132036","journal-title":"J Appl Anal Comput"},{"key":"3204_CR35","doi-asserted-by":"crossref","first-page":"1065","DOI":"10.1016\/j.apm.2010.07.053","volume":"35","author":"A-G Wu","year":"2011","unstructured":"Wu A-G, Li B, Zhang Y, Duan G-R (2011) Finite iterative solutions to coupled Sylvester-conjugate matrix equations. Appl Math Model 35:1065\u20131080","journal-title":"Appl Math Model"},{"issue":"11","key":"3204_CR36","doi-asserted-by":"crossref","first-page":"2082","DOI":"10.1080\/00207721.2012.684900","volume":"44","author":"A-G Wu","year":"2013","unstructured":"Wu A-G, Tong L, Duan G-R (2013) Finite iterative algorithm for solving coupled Lyapunov equations appearing in continuous-time Markov jump linear systems. Int J Syst Sci 44(11):2082\u20132093","journal-title":"Int J Syst Sci"},{"issue":"1","key":"3204_CR37","first-page":"309","volume":"11","author":"Y-J Xie","year":"2021","unstructured":"Xie Y-J, Ke Y-F (2021) Finite iterative (R, S)-conjugate solutions of the generalized complex coupled Sylvester-transpose equations. J Appl Anal Comput 11(1):309\u2013332","journal-title":"J Appl Anal Comput"},{"key":"3204_CR38","doi-asserted-by":"crossref","first-page":"1098","DOI":"10.1016\/j.camwa.2015.06.030","volume":"70","author":"Y-J Xie","year":"2015","unstructured":"Xie Y-J, Ma C-F (2015) The scaling conjugate gradient iterative method for two types of linear matrix equations. Comput Math Appl 70:1098\u20131113","journal-title":"Comput Math Appl"},{"key":"3204_CR39","first-page":"1257","volume":"273","author":"Y-J Xie","year":"2016","unstructured":"Xie Y-J, Ma C-F (2016) The accelerated gradient based iterative algorithm for solving a class of generalized Sylvester-transpose matrix equation. Appl Math Comput 273:1257\u20131269","journal-title":"Appl Math Comput"},{"key":"3204_CR40","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1109\/LSP.2024.3519897","volume":"32","author":"L Xu","year":"2025","unstructured":"Xu L, Zhang X, Ding F, Zhu Q-M (2025) A delta operator state estimation algorithm for discrete-time systems with state time-delay. IEEE Signal Process Lett 32:391\u2013395","journal-title":"IEEE Signal Process Lett"},{"issue":"4","key":"3204_CR41","first-page":"1282","volume":"10","author":"T-X Yan","year":"2020","unstructured":"Yan T-X, Ma C-F (2020) An iterative algorithm for solving a class of generalized coupled Sylvester-transpose matrix equations over bisymmetric or skew-anti-symmetric matrices. J Appl Anal Comput 10(4):1282\u20131310","journal-title":"J Appl Anal Comput"},{"issue":"17","key":"3204_CR42","doi-asserted-by":"crossref","first-page":"12787","DOI":"10.1016\/j.jfranklin.2020.09.030","volume":"357","author":"T-X Yan","year":"2020","unstructured":"Yan T-X, Ma C-F (2020) The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations. J Frankl Inst 357(17):12787\u201312807","journal-title":"J Frankl Inst"},{"key":"3204_CR43","doi-asserted-by":"crossref","first-page":"2049","DOI":"10.1016\/j.camwa.2015.08.013","volume":"70","author":"H-M Zhang","year":"2015","unstructured":"Zhang H-M (2015) Reduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applications. Comput Math Appl 70:2049\u20132062","journal-title":"Comput Math Appl"},{"key":"3204_CR44","doi-asserted-by":"crossref","first-page":"1856","DOI":"10.1016\/j.jfranklin.2016.12.011","volume":"354","author":"H-M Zhang","year":"2017","unstructured":"Zhang H-M (2017) A finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using the linear operators. J Frankl Inst 354:1856\u20131874","journal-title":"J Frankl Inst"},{"issue":"12","key":"3204_CR45","doi-asserted-by":"crossref","first-page":"2529","DOI":"10.1016\/j.camwa.2017.03.018","volume":"73","author":"H-M Zhang","year":"2017","unstructured":"Zhang H-M, Yin H-C (2017) Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester matrix equations. Comput Math Appl 73(12):2529\u20132547","journal-title":"Comput Math Appl"},{"issue":"15","key":"3204_CR46","doi-asserted-by":"crossref","first-page":"10757","DOI":"10.1016\/j.jfranklin.2020.07.042","volume":"357","author":"L Zhang","year":"2020","unstructured":"Zhang L, Tang S-Y, Lv L-L (2020) An finite iterative algorithm for sloving periodic Sylvester bimatrix equations. J Frankl Inst 357(15):10757\u201310772","journal-title":"J Frankl Inst"},{"key":"3204_CR47","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/j.sysconle.2008.12.004","volume":"58","author":"B Zhou","year":"2009","unstructured":"Zhou B, Duan G-R, Li Z-Y (2009) Gradient based iterative algorithm for solving coupled matrix equations. Syst Control Lett 58:327\u2013333","journal-title":"Syst Control Lett"},{"key":"3204_CR48","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1016\/j.cam.2008.06.014","volume":"224","author":"B Zhou","year":"2009","unstructured":"Zhou B, Li Z-Y, Duan G-R, Wang Y (2009) Weighted least squares solutions to general coupled Sylvester matrix equations. J Comput Appl Math 224:759\u2013776","journal-title":"J Comput Appl Math"},{"issue":"8","key":"3204_CR49","doi-asserted-by":"crossref","first-page":"1813","DOI":"10.1016\/j.automatica.2011.04.015","volume":"47","author":"B Zhou","year":"2011","unstructured":"Zhou B, Zheng W-X, Duan G-R (2011) Stability and stabilization of discrete-time periodic linear systems with actuator saturation. Automatica 47(8):1813\u20131820","journal-title":"Automatica"},{"issue":"2","key":"3204_CR50","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1016\/j.automatica.2010.10.011","volume":"47","author":"B Zhou","year":"2011","unstructured":"Zhou B, Duan G-R, Lin Z-L (2011) A parametric periodic Lyapunov equation with application in semi-global stabilization of discrete-time periodic systems subject to actuator saturation. Automatica 47(2):316\u2013325","journal-title":"Automatica"}],"container-title":["Computational and Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-025-03204-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s40314-025-03204-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s40314-025-03204-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,19]],"date-time":"2025-05-19T14:11:13Z","timestamp":1747663873000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s40314-025-03204-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4,24]]},"references-count":50,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2025,7]]}},"alternative-id":["3204"],"URL":"https:\/\/doi.org\/10.1007\/s40314-025-03204-z","relation":{},"ISSN":["2238-3603","1807-0302"],"issn-type":[{"type":"print","value":"2238-3603"},{"type":"electronic","value":"1807-0302"}],"subject":[],"published":{"date-parts":[[2025,4,24]]},"assertion":[{"value":"5 December 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 March 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 March 2025","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 April 2025","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"There is no conflict of interest in the publication of this manuscript.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"Not applicable.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethics approval"}}],"article-number":"244"}}