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Body posture defects and mean sway X and mean sway Y in girls and boys

of school age

Wady postawy ciała a średnie odchylenie X i średnie odchylenie Y u dziewcząt i chłopców

w wieku szkolnym

Jacek Wilczyński

1

1 Institute of Physiotherapy, Faculty of Health Sciences, Jan Kochanowski University, Kielce

STRESZCZENIE

Celem badań była analiza związku między wadami postawy ciała a wybranymi parametrami reakcji posturalnych: śred-nim odchyleniem X i średśred-nim odchyleniem Y u dzieci w wieku szkolnym. Badaniami objętych zostało 503 dzieci ze Szkoły Podstawowej Nr 13 i Gimnazjum Nr 4 w Starachowicach w wieku 12–15 lat. W badaniach postawy zastosowano tech-nikę fotogrametrii przestrzennej wykorzystującą efekt mory projekcyjnej. Reakcje posturalne badano na platformie Cosmo-gamma by Emildue R50300. Wykonano test Romberga skła-dający się z dwóch następujących po sobie prób trwających po 30 sekund: pierwsza z oczami otwartymi, druga z oczami za mkniętymi. Do opisu reakcji posturalnych zastosowano śred-nie odchyleśred-nie X (ŚOX), średśred-nie odchyleśred-nie Y (ŚOY). W teście z oczami zamkniętymi nie wykazano istotnej zależności ŚOX i ŚOY od wad w płaszczyźnie strzałkowej i bocznych skrzy-wień kręgosłupa. ŚOX w teście z oczami otwartymi w grupie bez wad postawy wynosiło 2,76 (mm), w grupie wad w płasz-czyźnie strzałkowej 2,55 (mm), w grupie wad w płaszpłasz-czyźnie strzałkowej i bocznych skrzywień kręgosłupa 2,48 (mm). ŚOX w teście z oczami otwartymi było najwyższe w grupie bocznych skrzywień kręgosłupa 2,99 (mm) bez wad w płaszczyźnie strzał-kowej. ŚOY w grupie bez wad postawy wynosiło 3,80 (mm), w grupie wad w płaszczyźnie strzałkowej 3,59 (mm), w grupie wad w płaszczyźnie strzałkowej i bocznych skrzywień kręgo-słupa 3,66 (mm). ŚOY było najwyższe w grupie bocznych skrzy-wień kręgosłupa bez wad w płaszczyźnie strzałkowej. Analiza wariancji z klasyfikacją dwukrotną wykazała istotną zależność ŚOX w teście z oczami otwartymi od wad w płaszczyźnie strzał-kowej zarówno w grupie z bocznymi skrzywieniami kręgosłupa jak i bez nich. Analiza wariancji z klasyfikacją dwukrotną wyka-zała istotą zależność ŚOY w teście z oczami otwartymi od wad w płaszczyźnie strzałkowej zarówno w grupie z bocznymi skrzy-wieniami kręgosłupa jak i bez.

Słowa kluczowe: wady postawy ciała w płaszczyźnie

strzał-kowej, boczne skrzywienie kręgosłupa, średnie odchylenie X, średnie odchylenie Y

ABSTRACT

The aim of this study was to analyze the relationship between posture defects and selected parameters of postural reactions: mean sway X and mean sway Y in school-age children. The study included 503 children from the Primary School No. 13 and Secondary School No. 4 in Starachowice aged 12–15. In the studies of posture the spatial photogrammetry technique that uses projection moiré effect was used. Postural reactions were tested on the Cosmogamma platform by Emildue R50300. Romberg test was performed, consisting of two consecutive trials lasting 30 seconds: the first with eyes open, the other with eyes closed. To describe the postural reactions mean sway X (MSX) and mean sway Y (MSY) were used. In the test with eyes closed there was no significant dependence of MSX and MSY from defects in the sagittal plane and lateral spinal curvatures. MSX in the test with eyes open in the group with-out posture defects was 2.76 (mm), in the group of defects in the sagittal plane 2.55 (mm), in the group of defects in the sagittal plane and the lateral curvature of the spine 2.48 (mm). MSX in the test with eyes open was the highest in the group of lateral spinal curvatures 2.99 (mm) with no defects in the sagittal plane. MSY in the group without posture defects was 3.80 (mm), in the group of defects in the sagittal plane 3.59 (mm), in the group of defects in the sagittal plane and the lateral spinal curvatures 3.66 (mm). MSY was the highest in the group of the lateral spinal curvatures without defects in the sagittal plane. Analysis of variance with a double classification showed a significant dependence of MSX in the test with eyes open from defects in the sagittal plane in both groups with lateral spinal curvatures and without them. Analysis of variance with a double classification showed significant dependence of MSY in the test with eyes open on defects in the sagittal plane, both in the group with lateral spinal curvatures and without them.

Key words: posture defects in the sagittal plane, postural

reac-tion, lateral spinal curvature mean sway X (MSX), mean sway Y (MSY)

INTRODUCTION

The etiology of posture defects and lateral spinal curvatures increasingly draws attention to discrete neurological chan-ges. For etiopathogenic purpose, posture defects and

scolio-sis are just symptoms, an outward expression of undiagnosed pathology. There is an increasing support for the concept of multi-factorial including genetically determined „discrete changes” of the central nervous system, causing dysfunction

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in the postural system [1, 2]. The basic principle of studies of postural reactions with the use of the platform is based on continuous measurement of the point of application of the resultant force of base reaction called the center of foot pres-sure (COP). One of the parameters of postural reactions is mean sway X (MSX). This is the mean distance between the extreme swings of the center of pressure in the lateral plane (mm). The second analyzed parameter was the mean sway Y (MSY). This is the mean distance between the extreme swings of the center of pressure in the sagittal plane (mm). The lower the value of the parameters , the more accurate the process of postural control [3–14]. The aim of this study was to analyze the relationship between posture defects in the sagittal plane and lateral spinal curvatures and the selected parameters of postural reactions: mean sway X (MSX) and mean sway Y (MSY) in children of school age.

MATERIAL AND METHODS STUDIES

The study included 503 children from the Primary School No. 13 and Secondary School No.4 in Starachowice; 247 (49.11%) girls and 25 (50.89%) boys. There were 60 12-year-old girls (24.29%), and also 60 13-year-old ones (24.29%), 65 14-year-old (26.32%) and 62 15-year-old (25.10%). Among boys were 65 12-year-old (25.39), 61 13-year-old (23.83%), 60 14-year-old (23.44%) and 70 15-year-old (27.34%). Number distributions by age and sex groups are not significantly different. The study was perfor-med in November and December 2005. The study used spa-tial photogrammetry technique that uses projection moiré effect. This method involves the use of refraction of the light beam, for which optic is used. The resulting picture of the back of the tested person is received by the optical system with a camera, and then passed to an analog monitor and to a computer. With the right card and program the computer makes a proper analysis of posture. The selected anthropo-metric points are marked on the back of the subject, i.e. the spinous processes from C7 to S1, shoulder outgrowths, lower

angles of the blades and the rear upper iliac spines. The tested person was standing in a habitual posture in a desi-gnated place with his/her back to the projection-receiving device at the distance of 3.2 m. In order to avoid distortion, the height of the measuring device was adjusted so that the projector lenses were at the height of mid-trunk. Strips were projected on the back of the subjects and the focusing lens of the receiving projector allowed to produce a moiré image shown on the monitor screen. Measurement and setting the sharpness of the image was performed automatically by a controlled projection-receiving device. Further analysis took place without the participation of the subject. After entering the picture and pointing with a mouse appropriate reference points its appropriate study was displayed. The device allowed to make an analytical assessment of the body posture in three planes: sagittal, frontal and transverse, i.e. the precise definition of irregularities occurring within each of these planes. For this purpose, various parameters were determined: length, depth and angle. Each selected segment of the spine was measured in this way and the appropriate indicators were calculated reflecting the intersection rela-tionship. Measurements of the subsequent parameters of

body planes also gave information about the spatial loca-tion of the whole spine and its various secloca-tions. The com-puter marked the three-dimensional image of the back and carefully analyzed posture parameters. The analysis used angular indicators, linear dimensions, symmetries in the sagittal and frontal planes (Fig. 1) [15]. For the balance tests Cosmogamma platform by Emildue R50300 was used (Fig. 2). Romberg test was performed, consisting of two consecu-tive trials lasting 30 seconds: the first with open eyes (OE), the other with closed eyes (CE). Each person was carefully instructed about the course of the test. During the test the silence was provided because auditory stimuli acting on the man in terms of focus could significantly affect postu-ral reflexes. The tested person was also assured of the ove-rall safety of the test being performed. During the test, the researcher was standing behind the tested person all the time without providing any information. When testing with open eyes (OE) the subject was asked to focus on the visual refe-rence point located on the computer screen. The center of macular vision was within 1 m from the subject. Before star-ting the test with eyes closed (CE) the researcher made sure that the tested person was able to maintain upright posture without a visual control. The test requires standing on the platform barefoot because shoes can disturb the posture. Feet were set with careful precision: heels 2 cm apart, feet apart at an angle of 30 ° so that the center of gravity of the polygon base was lying in the sagittal axis of the platform within 4 cm from its center. The intersection of the vertical and horizontal axis corresponding to the position of ankles coincides with the center of the platform indicated on the screen as the center of a static and dynamic diagram. To faci-litate the correct positioning of the tested person, the plat-form was equipped with standard feet spacing. The tested person took and maintained his or her position with arms lowered at his/her sides and his/her head upright. The test started when the subject adopted the stable posture and on the screen was displayed the rout of the swing of the center of pressure (COP) [16].

Measurement data compiled commonly used methods of statistical analysis. The variables on the posture and postural reactions were verified in terms of the normality of distribution by Kolmogorov-Smirnov test. To demon-strate the correlation between the quality of body posture and postural reactions correlations of variables selected in the factor analysis were used. Analysis of variance with a double classification was used to determine the relation-ship between body posture in the sagittal plane and late-ral spinal curvatures and parameters of postulate-ral reactions MSX and MSY. The level of significance was set at p ≤ 0.05 [17].

RESULTS

The mean body height of girls was 161.45 cm, mean body weight 50.84 kg, mean BMI 19.43. The mean body height of boys was 165.41 cm, weight 52.74 kg, BMI 19.08. The number of participants in age groups did not differ signifi-cantly. Body postures in the sagittal plane were divided based on Wolański typology into the correct: kyphotic first type (K), balanced second (R)and lordotic first type (L) and

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defective ones: kyphotic second type (K2), lordotic second (L2) and flat back (R1P). In the whole group of the tested children 297 (59.05%) correct and 206 (40.95%) defec-tive postures were observed in the sagittal plane. Postures of the tested persons in the frontal plane were divided into the correct posture (angle of primary curvature = 0°), the scoliotic posture (1–5°) and lateral spinal curvature (6-10°). In the entire group of 503 children only 3 (0.60%) correct postures were observed, 238 (47.32%) scoliotic postures and 262 (52.09%) lateral spinal curvatures including 46 (9.15%) curvatures >10°. The value of MSX for the whole study group ranged from 2.73 (mm) with open eyes to 2.78 (mm) with closed eyes (Tab. I, Fig. 3). The value of MSY for the whole test group ranged from 4.54 (mm) with open eyes to 3.79 (mm) with eyes closed (Tab. II, Fig. 4). MSX in the group without posture defects was 2.76 (mm), in the group of defects in the sagittal plane 2.55 (mm), in the group of defects in the sagittal plane and lateral spinal curvatures 2.48 (mm). MSX was the highest in the group of lateral spinal curvatures 2.99 (mm), without defects in the sagittal plane (Tab. III, Fig. 5).

There were no significant relationships between posture defects in the sagittal plane and lateral spinal curvatures and balanced reactions of MSX and MSY in tests with eyes closed (CE). Analysis of variance with double classification revealed a significant dependence of MSX in the test with open eyes (OE) on defects in the sagittal plane (p = 0.009) in both groups with lateral spinal curvatures and without them (Tab. III). MSX was the highest in the group of ateral

Fig. 1. The apparatus for the test by moiré method' [13]

Fig. 2. The Cosmogamma platform by Emildue R50300 [12].

Fig. 3. Mean sway X.

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Fig. 5. Mean sway Y. Fig. 6. Posture defects and no posture defects (OE).

Tab. I. Mean sway X (mm)

Gender Age

Mean sway X (OE) Mean sway X (CE)

X n s x n s Girls 2,71 247 1,44 2,61 247 1,03 12 2,47 60 1,52 2,66 60 1,11 13 2,76 60 1,45 2,58 60 0,91 14 2,88 65 1,57 2,58 65 0,98 15 2,71 62 1,21 2,62 62 1,11 Boys 2,75 256 1,63 2,94 256 1,17 12 2,62 65 1,30 3,01 65 1,14 13 2,99 61 1,81 3,03 61 1,49 14 2,76 60 1,91 2,81 60 1,09 15 2,66 70 1,48 2,91 70 0,94 Total 2,73 503 1,54 2,78 503 1,11

Tab. II. Mean sway X (OE) (mm)

Posture defect1 Lateral curvature Mean sway X (OE)

x n s 0 0 2,76 144 1,52 0 1 2,99 153 1,84 1 0 2,54 97 1,39 1 1 2,47 109 1,11 Total 2,72 503 1,53 0 – present, 1– absent.

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Tab. III. Analysis of variance with a double classification of SOX2

Independent variables dfEfekt MSEfekt dfError MSError F p

Posture defect (1) 1 16,09 499 2,34 6,87 0,009

Lateral curvature (2) 1 0,76 499 2,34 0,32 0,56

Interaction (1-2) 1 2,66 499 2,34 1,13 0,28

DF – degree of freedom, MS mean square, F – relation of MS effect to MS error, p – level of significance.

Tab. IV. Mean sway Y (mm)

Gender Age

Mean sway Y (OE) Mean sway Y (CE)

x n s x n s Girls 4,61 247 2,52 3,61 247 1,29 12 4,59 60 2,34 3,68 60 1,30 13 4,68 60 2,89 3,57 60 1,28 14 4,87 65 2,69 3,69 65 1,37 15 4,29 62 2,13 3,49 62 1,22 Boys 4,47 256 2,64 3,97 256 1,72 12 4,16 65 2,56 4,21 65 2,00 13 5,19 61 3,02 3,71 61 1,33 14 4,52 60 2,53 3,88 60 1,61 15 4,11 70 2,39 4,06 70 1,83 Total 4,54 503 2,58 3,79 503 1,54

Tab. V. Mean sway Y (CE) (mm)2

Posture defect Lateral curvature Mean sway Y (OE)

x n s 0 0 3,80 144 1,53 0 1 4,00 153 1,75 1 0 3,59 97 1,30 1 1 3,66 109 1,38 Total 3,79 503 1,53 0 – present, 1– absent.

Tab. VI. Analysis of fariance with a double classification of MSY

Independent variables dfEfekt MSEfekt dfError MSError F p

Posture defect (1) 1 9,38 499 2,34 4,00 0,05

Lateral curvature (2) 1 2,18 499 2,34 0,93 0,33

Interaction (1-2) 1 0,53 499 2,34 0,22 0,63

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spinal curvatures 2.99 (mm), with no defects in the sagittal plane (Tab. IV). MSY in the group without posture defects was 3.80 (mm), in the group of defects in the sagittal plane 3.59 (mm) and in the group of defects in the sagittal and lateral spinal curvatures 3.66 (mm). MSY was the highest in the group of lateral spinal curvatures without defects in the sagittal plane 4.00 (mm) (Tab. V, Fig. 6). Analysis of variance with a double classification showed significant dependence of MSY in the test with open eyes (OE) on defects in the sagittal plane in both groups with the lateral spinal curvatures and without them (p ≤ 0.05) (Tab. VI).

DISCUSSION

In recent years, research in balance reactions in posture defects and lateral curvature of the spine was dealt with by many authors. The studies showed that the postural system in posture defects and lateral spinal curvatures is often disturbed.

Herman et al. [18] using a simple endurance platform, swivel chair, observed that patients with scoliosis showed changes in the vestibular-ocular reflexes. Also Meller--Gattenyo [19] showed that the abnormal posture affects balance control. Boys with idiopathic scoliosis at the age of 10 had worse control of balance in relation to the girls of the same age group and boys of the control group. Allard et al. [20] evaluated the static balance in a group of 13-year--old girls with idiopathic scoliosis, seeking relationship between the ability to maintain balance and body mass of the subjects. In girls with a higher body mass they obse-rved reduced ability to maintain static balance in relation to girls with lower body mass. However, Eshraghi et al. [21] studied the parameters of static and dynamic balance in 14-year-old girls with hyperkyphosis, comparing the results with children without posture defects. They obse-rved significant differences between the groups. The mean parameters of dynamic balance were worse in girls with hyperkyphosis. In studies of Odunaiy et al. [22] it was also noted that gender and age affect the size of parameters of static and dynamic balance. Girls aged 8 and 10 had better results in the assessment of static balance than boys of the same age. However, at the age of 9 and 12, the boys had better results of dynamic balance than girls of the same group.

According to Chamera-Bilińska et al. [23] any chan-ges within trunk that impair the function of the control or executive system are also reflected in postural stability. In their research Chamera-Bilińska et al. [23] showed that each lateral curvature of the spine threatens the stability of the body. It does not matter for the stability of the child in which segment of the spine the curvature is located, nor is relevant the side of deflection curve. Children with idiopathic scoliosis have a poorer control of postural

sta-bility compared with healthy children. In the studies of Ostrowska et al. [24] concerning dynamic balance was confirmed that the system of balance in scoliosis is less precise, compensates for disturbances of body stabilization in another way. Other balance adjustment in children with scoliosis may be caused by changes in sensory integration or processing of information in the central nervous system, structural disorders of the muscular and skeletal system. Children have a poorer postural stability, their nervous system responds slowly and stimulates the muscles less in order to restore balance. Balance control worsens with the progress of the curvature.

In similar studies from 2005 [25] associations were also found between posture defects and balance reactions. There was observed the dependence of the mean load point Y (MLP with open eyes (OE) on lateral spinal curvatures, both with posture defects in the sagittal plane and without them. There was also significant dependence of the ante-rior-posterior speed in the test with closed eyes (CE) on lateral spinal curvatures, both with defects in the sagittal plane and without them. Lateral curvatures of the spine and defects in the sagittal plane were accompanied by a signifi-cant increase in the anterior-posterior speed.

The observed significant associations between postu-ral defects in the sagittal plane and latepostu-ral curvatures of the spine and the mean sway X, mean sway Y with open eyes (OE) confirm that posture defects and scoliosis are just a symptom, an outward expression of unrecognized discrete changes in CNS and organ of balance, causing dysfunction in the postural system.

CONCLUSIONS

1. MSX was the highest in the group of lateral spinal curvatures, with no defects in the sagittal plane. 2. Analysis of variance with a double classification

showed a significant dependence of MSX in the test with eyes open from defects in the sagittal plane in both groups – with lateral spinal curvatu-res and without them.

3. MSY was the highest in the group of lateral spinal curvatures without defects in the sagittal plane. 4. Analysis of variance with a double classification

showed a significant dependence of MSY in the test with eyes open from defects in the sagittal plane, both in the group with lateral spinal curva-tures and without them.

5. Posture defects and lateral spinal curvatures may be just a symptom, an outward expression of undiagnosed discrete changes of CNS and an organ of balance, causing dysfunctions in the postural system.

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REFERENCES

[1] Głowacki M., Kotwicki T., Pucher A.: Skrzywienie kręgosłupa. [w:] Marciniak W., Szulc A. (red,): Wiktora Degi Ortopedia i Rehabilitacja. PZWL, Warszawa 2008.

[2] Nowakowski A.: Obowiązujące zasady postępowania w skoliozach idiopatycznych. Diagnostyka i leczenie. Biblioteka Ortopedyczna i Traumatologiczna. Exemplum, Poznań 2010.

[3] Chen Z., Lerman J.: Protection of the remaining spinal cord function with intraoperative neurophysiological monitoring during paraparetic scoliosis surgery: a case report. J Clin Monit Comput 2012; 26: 13–16. [4] De Séze M., Cugy E.: Pathogenesis of idiopathic scoliosis: A review. Ann

Phys Rehabil Med 2012; 1: 27.

[5] Eshraghi E., Maroufi N., Sanjari M., et al.: Static dynamic balance of schoolgirls with hyperkyphosis. Scoliosis 2009; 4: 05.

[6] Gruber A.H., Busa M.A., Gorton G.E., et al.: Time-to-contact and multiscale entropy identify differences in postural control in adolescent idiopathic scoliosis. Gait & Posture 2011; 34: 13–18.

[7] Lee C.S., Chung S.S., Shin S.K., et al.: Changes of Upper Thoracic Curve and Shoulder Balance in Thoracic Adolescent Idiopathic Scoliosis Treated by Anterior Selective Thoracic Fusion Using VATS. J Spinal Disord Tech 2011; 24: 462–468.

[8] Lee R.S, Reed D.W, Saifuddin A.: The correlation between coronal balance and neuroaxial abnormalities detected on MRI in adolescent idiopathic scoliosis. Eur Spine J 2012; 4.

[9] Liao K., Walker M.F., Joshi A.C., et al.: The linear vestibulo-ocular reflex, locomotion and falls in neurological disorders. Restor Neurol Neurosci 2010; 28: 91–103.

[10] Little J.P., Izatt M.T., Labrom R.D., et al.: Investigating the change in three dimensional deformity for idiopathic scoliosis using axially loaded MRI. Clin Biomech 2012; 4.

[11] Londono D., Buyske S., Finch S.J., et al.: TDT-HET: A new transmission disequilibrium test that incorporates locus heterogeneity into the analysis of family-based association data. BMC Bioinformatics 2012; 20: 13.

[12] Weiss H.R.: Physical Therapy Intervention Studies on Idiopathic Scoliosis – Review with the focus on Inclusion Criteria. Scoliosis 2012; 25: 1–4.

[13] Wilczyński J.: Asymmetries of the shoulder and pelvic girdles in girls with scoliosis and scoliotic posture. Studia Medyczne 2013; 29: 152– 159.

[14] Bruyneel A.V., Chavet P., Bollini G. et al.: Idiopathic scoliosis and balance organisation in seated position on a seesaw. European Spine Journal 2010; 19: 739–746.

[15] Nowotny J., Podlasiak P., Zawieska D.: System Analizy Wad Postawy. PW, Warszawa 2003.

[16] Ocetkiewicz T., Skalska A., Grodzicki T.: Badanie równowagi przy użyciu platformy balansowej ocena powtarzalności metody. Gerontologia Polska 2006; 14: 144–148.

[17] Komputerowy program statystyczny. Statistica.7.1. Statsoft 2007. [18] Herman R., Mixon J., Fisher A.I., et al.: Idiopathic scoliosis and the

central nervous system: a motor control problem, Spine 1984; 10: 1–14. [19] Meller-Gattenyo L.: Postural control in standing among adolescents with

idiopathic scoliosis. Scoliosis 2009; 4: 0–22.

[20] Allard P., Chavet P., Barbier F., et al.: Effect of body morphology on standing balance in adolescent idiopathic scoliosis. American Journal of Physical Medicine& Rehabilitation 2004; 83: 689–697.

[21] Eshraghi E., Maroufi N., Sanjari M., et al. Static dynamic balance of schoolgirls with hyperkyphosis. Scolisis 2009; 4: 05.

[22] Odunaiya N., Oladeji O., Oguntibeju O.: Assessment of antigravity and postural control in health children in Ibadan. Nigeria. Pakistan Journal of Medica Sciences 2009; 4: 583–590.

[23] Chamera-Bilinska D., Zawazka D., Sobera M., et al.: Stabilność ciała w pozycji stojącej dzieci z bocznym idiopatycznym skrzywieniem kręgosłupa. Annales Universitatis Mariae Curie-Składowska 2005; 16: 218–221.

[24] Ostrowska B., Rozek-Piechura K., Skolimowski T.: Odzyskiwanie dynamicznej równowagi po zewnętrznych zaburzeniach postawy u dzieci z idiopatyczną skoliozą. Ortopedia Traumatologia Rehabilitacja 2006; 3: 300–307.

[25] Wilczyński J.: Postawa ciała a reakcje równoważne dziewcząt i chłopców w wieku dorastania. WAŚ, Kielce 2007.

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