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Journal of Geochemical Exploration 105 (2010) 95–105 Contents lists available at ScienceDirect Journal of Geochemical Exploration j o u r n a l h o m e p a g e : w w w. e l s ev i e r. c o m / l o c a t e / j g e o ex p Delineation and explanation of geochemical anomalies using fractal models in the Heqing area, Yunnan Province, China Jun Deng ⁎, Qingfei Wang, Liqiang Yang, Yanru Wang, Qingjie Gong, Huan Liu State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Beijing 100083, China Key Laboratory of Lithosphere Tectonics and Lithoprobing Technology of Ministry of Education, China University of Geosciences, Beijing 100083, China a r t i c l e i n f o Article history: Received 30 August 2009 Accepted 9 April 2010 Available online 18 April 2010 Keywords: Fractal Geochemical anomaly Sanjiang Beiya Yunan a b s t r a c t The Heqing area, located in the Sanjiang ore belt, China, consists of the Beiya gold orefield related to the alkaline porphyry, the Emeishan volcanic mafic rocks and a series of sedimentary rocks. Thirty-nine elements of stream sediment samples taken in the 1:200,000 geochemical survey in the Heqing area can be classified into four groups using principal component analysis. Two fractal models, i.e., the concentration–area model and the number–size model, are applied in determination of the thresholds for the representative elements in the four groups. The thresholds obtained from the two models are similar. According to the thresholds, the element concentration distribution can be divided into 3 segments, each of them is mainly correlated to one type of rocks, including the alkaline porphyry related to gold-mineralized rocks, mafic rocks and sedimentary rocks. This paper reveals that the various geological events can be characterized by the different fractal models of element distribution. © 2010 Elsevier B.V. All rights reserved. 1. Introduction The explanation and delineation of anomalies from geochemical backgrounds have a profound influence on the analysis of geological evolution and the ore-formation process. Usually, the key to geochemical data processing is to determine the threshold to separate anomalies from the geochemical background and then either delineate the mineralized areas or distinguish the anthropogenic and natural sources of materials (Gałuszka, 2007; Hawkes and Webb, 1962). Traditional methods for threshold determination involve iterative mean ± 2σ statistical methods (Gałuszka, 2007; Hawkes and Webb, 1962), the box-plot method (Tukey, 1997), the fence method (Schwertman and Silva, 2007; Schwertman et al., 2004), and other techniques including probability graphs, univariate analysis, and multivariate analysis (Stanley and Sinclair, 1989). The distribution of element concentrations is inhomogeneous and irregular; thus, fractal models are used to determine thresholds of geochemical anomalies in recent decades. Fractal models are widely applied in dealing with the element concentrations, including the box counting model (Cheng, 1995; Deng et al., 2001, 2006; Mandelbrot, 1983), number–size model (N–S model) (Agterberg, 1995; Mandelbrot, 1983; Turcotte, 2002; Wang et al., 2010), radial–density model ⁎ Corresponding author. State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Beijing No. 29, Xueyuan Road, Beijing 100083, China. Tel.: + 86 10 82322301; fax: + 86 10 82321006. E-mail address: [email protected] (J. Deng). 0375-6742/$ – see front matter © 2010 Elsevier B.V. All rights reserved. doi:10.1016/j.gexplo.2010.04.005 (Blenkinsop, 1994; Carlson, 1991; Carranza, 2009; Feder, 1988; Mandelbrot, 1983; Raines, 2008), grade–tonnage model (Turcotte, 1997, 2002), self-affine model (Wang et al., 2007a), concentration– area model (C–A model), distance–concentration model (Li et al., 2003), multifractal model (Agterberg et al., 1996; Cheng, 1999; Deng et al., 2007, 2008; Wang et al., 2008) and local singularity model (Cheng, 2007). The N–S model proposed by Mandelbrot (1983), the C–A model proposed by Cheng et al. (1994) and local singularity model developed by Cheng (2007) are widely applied to separate anomalies from backgrounds in metallic geochemical exploration (Agterberg, 1995; Carlson, 1991; Turcotte, 2002; Wang et al., 2007a), oil/gas prospecting (Zhang et al., 2006) and environmental studies (Lima et al., 2003), and they show more effectiveness than the traditional methods, such as the iterative mean ± 2σ method. The local singularity model is used for find out the weak anomalies in a low background; and the N–S model and C–A model have advantage in analyzing the overall structure of the geochemical data and map. Although the N–S model and C–A model are widely applied, their comparison is rarely carried out. The application of the fractal models also suggests that the different mineralization intensity can be distinguished by the fractal distribution of the geological objects (Mandelbrot, 1983; Turcotte, 1997; Roberts et al., 1998; Deng et al., 2009). For instance, with the increase of mineralized rank, the dimensions of the fractal models of the grade, vein thickness, and regional structure density tend to be smaller (Deng et al., 2001; Monecke et al., 2001; Roberts et al., 1998). The smaller dimension denotes a greater proportion of the objects with greater intensity or density. In one region, especially the ore cluster area, 96 J. Deng et al. / Journal of Geochemical Exploration 105 (2010) 95–105 various geological events, including the sedimentation, volcanism and metallogenesis, occurred and formed a complex and combined spatial distribution of various geological objects. The abundances of various elements in the geological objects are totally distinct. Is it still possible to utilize the fractal models of element distributions to detect the different geological objects? The Heqing area, located in the Sanjiang ore belt, China, comprises the Beiya gold poly-metal orefield related to alkaline porphyry and the mafic basalts, which belong to the Emeishan large igneous province (LIP). Taking the Heqing area as an example, this paper utilized the N–S and C–A fractal models to describe the distribution of regional geochemical data, to compare the results obtained via the two different models and to separate the various geological objects. The alkaline porphyry and Emeishan LIP developed within a large area of southwestern China are genetically related to numerous Cu, Au, PGE, Pb and Zn deposits. Thus, the results of this study can provide references for understanding the geological and geochemical background of ore-formation processes in this and other areas with similar geological settings. 2. Geological settings The Heqing area is located at the east of the Jinshajiang suture, at the boundaries of the western part of the Yangtze Plate. Rocks in the area comprise Late Permian basalt, Lower Triassic sandstone, Middle Triassic limestone, Jurassic shale and sandstone, Cretaceous sandstone and Tertiary lacustrine and Quaternary sedimentary rocks (Fig. 1b). The outcrops in the Heqing area can be divided into three parts from west to east according to the lithology. The outcrops in the west are mainly Triassic, those in the middle part are Permian volcanic mafic rocks, and those in the east include the Jurassic and Cretaceous, Triassic systems, tertiary alkaline porphyry plugs and several related metallic ore deposits (Fig. 1). The mafic rock in this area is a portion of the Emeishan LIP. The Emeishan LIP is generated by mantle plume, covering an area of more than 2.5 × 105 km2 across the Yunnan, Guizhou, Sichuan and Guangxi provinces, with a total thickness ranging from several hundred meters up to 5 km (Xu et al., 2001; Deng et al., 2010). Many reliable radiometric age dates (zircon U–Pb SHRIMP) indicate that emplacement occurs at ∼ 260 Ma (Ali et al., 2005; Zhou et al., 2002). In the central part of the Emeishan LIP, several intrusions contain substantial V–Ti-magnetite deposits and Ni–Cu–platinum group element (PGE) sulfide deposits (Song et al., 2003; Zhong et al., 2002). Tertiary alkaline porphyry plugs related to the Au, Ag, Pb and Zn mineralization are abundant in the Heqing area. The famous Beiya gold poly-metal orefield is located in the southwestern part. Tertiary alkaline porphyry plugs in the Beiya area include quartz–albite porphyry, quartz–K–feldspar porphyry and biotite–K–feldspar porphyry. Both the quartz–albite porphyry and quartz–K–feldspar porphyry are associated with porphyry Cu–Au and skarn-type polymetallic deposits (Xu et al., 2007). The age of the quartz–albite porphyry at Wangdongshan is 65.56 ± 0.28 Ma (Xu et al., 2006). The three quartz–K–feldspar porphyritic bodies, at Wangdongshan, Hongnitang and Weiganpo, have intrusive ages of 32.50 ± 0.09 Ma, 25.89 ± 0.13 Ma and 25.53 ± 0.15 Ma, respectively (Xu et al., 2006). A number of Tertiary alkaline porphyry bodies also occur along the Jinshajiang suture, some of which are associated with important economic mineral deposits, including porphyry Cu deposits in the Yulong area, porphyry Cu and Mo deposits in the Machangqing area and the Yaoan area. The alkaline porphyries in the Beiya area and alkaline porphyries in western Yunnan in general resulted from partial melting of large masses of rocks along the major Jinshajiang shear zone at the contact between the buried Palaeo-Tethyan oceanic lithosphere and upper mantle lithosphere (Xu et al., 2007). 3. Geochemical data and principal component analysis The 3rd Geological Team of the Yunnan Bureau of Geology and Mineral Resources has carried out a regional geochemical survey at a scale of 1:200,000 in the Heqing region, as part of the RGNR project Fig. 1. Geological map of the Heqing area, Yunnan Province, China. Q–E represent Quaternary to Tertiary, J is Jurassic, K is Cretaceous, P is Permian, Pe is Permian mafic rock, C is Carboniferous, D is Devonian, S is Silurian, O is Ordovician. J. Deng et al. / Journal of Geochemical Exploration 105 (2010) 95–105 Fig. 2. Geochemical maps of the selected elements: (a) Au (10− 9), (b) Pb (10− 6), (c) Cu (10− 6), (d) Co (10− 6), (e) Y (10− 6), (f) Zr (10− 6), (g) U (10− 6), (h) Li (10− 6). 97 98 J. Deng et al. / Journal of Geochemical Exploration 105 (2010) 95–105 (Xie et al., 1997; Wang et al., 2007b). A total of 1 672 stream sediment samples were collected, and 39 elements, such as Au, Ag, Zn, Cu, Co, Ni, and U, were analyzed (Wang et al., 2007b). These element concentration values are used in this study. When a large geochemical data set is generated, it may be helpful to use a principal component analysis (PCA) in order to reduce the number of observed variables to a smaller number of factors, providing insight into the structure of the variance of the parameters (Muller et al., 2008). In PCA, the concentration dataset is divided into several subsets, represented by different factors. The elements in the subset are correlated with one another and largely independent of the elements in the other subsets. Here, factors should to be representative of the underlying geological and metallogenical process that created the correlations among these variables. In this paper, a principal component analysis was carried out using SPSS statistical software package. In PCA, it revealed that the 39 elements could be typically classified into the following four groups, with each group controlled by different factors: (1) Au, Pb, Zn, and Ag, (2) Cu, Co, Mn, P, V, and Fe, (3) Be, Nb, Zr, Th, and Y and (4) Li, F, and U. The first group, including Au, Pb and Zn, is shown to be concentrated in the Beiya gold orefield in the southwestern part of Heqing area. Elements of the second group, including Co, Ni, and Cu, are enriched in the area with Emeishan mafic rock. The elements in the third group are concentrated in a wider area than those in the first and second groups. The elements in the fourth group are enriched in the area with outcrops of sedimentary rocks (Fig. 2; Table 1). 4. Fractal models The N–S model is utilized to describe the distribution of geochemical disregarding spatial distribution. The model is expressed by the following equation: Nð≥rÞ = cr −D ð1Þ where r denotes the element concentration in this paper; N(≥r) is the cumulative number of concentration greater than or equal to r; c is a constant, and D is the scaling exponent or fractal dimension of the concentration distribution. Plotting the cumulative number against concentration in ln–ln coordinates, i.e., ln N( ≥ r) versus lnr, results in a straight line with the slope − D within a concentration interval. Other common distributions such as normal (Gaussian), log-normal or exponential yield distinctly curved graphs with the ln N( ≥ r) versus ln r plot. In the C–A model applied to analyze the structure of geochemical maps, in the map the area A(r ≥ ri) enclosed by contours with concentration ri has a power–law relation with ri as follows: −D Aðr ≥ri Þ = cri ð2Þ Table 1 Principal component analysis of the elements in the stream sediment samples from the Heqing area, Yunnan Province, China. Element Cu Pb Co Ni Li F U W Mo Hg As Sb Bi Cd Be B Sn Ag Au Cr Nb Sr Mn Ti Zr Th P V Y Ba La Zn Si Fe Al Ca Mg K Na Component 1 2 3 4 5 6 7 8 0.883 0.028 0.891 0.353 − 0.314 − 0.027 − 0.028 0.057 0.258 − 0.020 0.006 0.053 − 0.028 − 0.008 0.102 − 0.551 0.269 0.025 0.123 0.244 0.614 0.540 0.800 0.944 0.369 0.112 0.813 0.941 0.491 0.155 0.086 0.222 − 0.752 0.939 0.371 0.141 0.105 − 0.226 0.004 0.005 0.036 0.169 0.059 0.135 0.172 0.333 0.088 0.146 0.093 − 0.036 0.014 − 0.010 0.118 0.740 0.077 0.590 − 0.007 0.063 0.072 0.712 − 0.004 0.238 0.173 0.758 0.731 0.175 0.151 0.751 0.173 0.748 0.084 − 0.289 0.222 0.492 − 0.149 − 0.178 0.520 0.016 0.082 0.948 0.020 0.053 0.072 0.184 0.072 0.230 0.060 − 0.035 0.205 0.587 0.592 0.587 0.146 0.041 0.156 0.904 0.743 0.032 − 0.012 − 0.012 0.357 − 0.016 0.005 0.054 − 0.031 0.034 0.103 0.008 − 0.022 0.784 − 0.093 0.060 0.107 0.025 0.032 0.056 − 0.011 − 0.100 0.064 0.063 0.166 0.786 0.812 0.797 0.157 0.664 − 0.063 0.224 0.253 0.079 − 0.013 0.340 0.448 0.122 0.088 0.024 0.054 − 0.082 − 0.091 0.027 − 0.081 − 0.162 0.431 0.003 0.099 0.296 − 0.026 0.295 0.085 − 0.287 0.024 0.564 0.003 0.018 0.375 − 0.081 0.030 − 0.016 0.326 0.870 0.184 0.073 0.097 0.056 − 0.109 0.033 − 0.030 0.030 − 0.030 0.108 0.019 0.052 0.166 − 0.023 0.033 0.882 − 0.040 − 0.059 0.064 0.075 − 0.187 0.094 0.023 0.164 0.087 − 0.083 0.042 0.012 − 0.210 0.141 0.271 0.015 0.410 − 0.042 − 0.069 0.011 0.003 − 0.011 0.056 − 0.237 0.102 − 0.055 − 0.045 0.033 0.012 0.093 − 0.037 0.035 − 0.014 − 0.246 − 0.133 0.050 0.001 0.012 0.069 0.053 0.233 − 0.006 0.038 − 0.061 − 0.119 0.111 − 0.014 0.003 0.071 − 0.165 − 0.023 − 0.315 − 0.013 − 0.171 0.897 0.787 0.142 0.274 0.060 0.003 0.053 − 0.010 − 0.070 0.208 − 0.113 0.064 − 0.206 − 0.012 − 0.048 − 0.027 − 0.034 0.050 0.242 0.088 − 0.045 − 0.001 − 0.003 − 0.133 − 0.121 0.674 0.072 0.002 − 0.172 0.243 0.261 0.005 0.034 0.898 0.140 0.025 − 0.063 0.043 0.148 − 0.013 0.019 0.413 0.135 0.035 0.047 0.001 0.048 0.058 0.119 0.116 0.733 0.033 0.605 0.367 0.584 0.071 − 0.017 0.065 0.076 0.021 0.079 − 0.004 0.045 0.022 0.007 0.041 − 0.010 0.013 0.077 0.035 0.013 0.078 − 0.018 0.086 0.389 − 0.070 0.012 0.075 0.043 0.034 0.048 − 0.018 The bold italicized numbers denote the thresholds used in this paper. J. Deng et al. / Journal of Geochemical Exploration 105 (2010) 95–105 where D still denote the fractal dimension for the C–A model. Similar to the N–S model, the lnA–lnr plot results in a straight line with the slope − D. ArcGIS was used to analyze the element concentration via the C–A model. 5. Delineation of geochemical anomalies Fig. 3 illustrates the histograms for log10Au and log10Cu (Fig. 3a, c) and a “quantile–quantile” plot (Q–Q plot) (Fig. 3b, d). The Q–Q plot shows that the concentrations don't follow a log-normal distribution. Thus, the element concentrations can be described by the two fractal models. The concentration distributions of various elements are shown to have bifractal characteristics. The plots in the ln–ln coordinates are fitted by three line segments for most elements and by two line segments for a few elements. The N–S and C–A fractal models of the typical elements in various groups are illustrated in Fig. 4 and Fig. 5; the thresholds and fractal dimensions are listed in Table 2. The Di represents the fractal dimension in the ith segments and Ti is the threshold between the (i−1)th and ith segments. The N–S fractal model of gold comprises three line segments in ln– ln coordinates (Fig. 4a). The concentrations in the first segment are distributed in the Jurassic and Cretaceous strata, and the corresponding fractal dimension is relatively small; those in the second segment, with a much greater fractal dimension, are mainly distributed in the Triassic in the eastern part, the Emeishan mafic rocks in the central part and in the locations where the magmatic intrusions develop in the southeastern part; the concentrations in the third segment, with a small fractal dimension, correspond to the gold- 99 mineralized areas around the Beiya orefield (Fig. 6a, b). The fractal dimension in the third segment is smaller than that in the second one, showing that the greater concentrations dominate in the mineralized area, corresponding to the contrast results of the fractal dimensions of element concentration distributions in the non-mineralized area and those in the mineralized area (Deng et al., 2009). The C–A fractal model of gold also comprises three line segments, and the first threshold in this model is consistent with that obtained from the N–S model, yet the second threshold is much greater than that in the N–S model, suggesting that the C–A model can denote a much smaller area of mineralization (Fig. 6c). In the C–A model, the fractal dimensions increase from the first segment to the third one, indicating that, with increasing contour concentrations, the enclosed area decreases more rapidly in the mineralized area than in the non-mineralized area (Fig. 5a). The fractal dimensions obtained from the C–A model and N– S model are different, and they can reveal the data distribution from different perspectives. Since Pb and Au are clustered the same group in the principal component analysis, the N–S model and C–A model of Pb are similar to those of Au, and the thresholds in the N–S model are approximately equal to those in the C–A model (Figs. 4b and 5b); in light of the thresholds, the element map can be separated into three parts as shown in Fig. 6d, e, and f, which are analogous in spatial distribution to the three corresponding parts for Au. The area with the Pb anomaly is greater than that with the Au anomaly, indicating the Pb is more mobile than the Au in the surface environment of the study area. The thresholds of Cu and Co in the N–S model generally correspond to those in the C–A model (Fig. 4c, d; Fig. 5c, d). Based on the Fig. 3. Q–Q plots and histograms for Au and Cu concentrations. (Data are base 10 log-transformed). (a) Q–Q plot for Au; (b) histogram for Au; (c) Q–Q plot for Cu ; (d) histogram for Cu. 100 J. Deng et al. / Journal of Geochemical Exploration 105 (2010) 95–105 Fig. 4. N–S model of the typical elements in the Heqing area, Yunnan Province, China: (a) Au, (b)Pb, (c) Cu, (d) Co, (e) Y, (f) Zr, (g) U, (h) Li. thresholds of Cu and Co, the area where the sedimentary rocks developed and that with the Emeishan mafic rocks can be generally separated (Fig. 7), similar to the analysis of Au and Pb. The Cu and Co anomalies are only located in parts of the Emeishan mafic rocks, suggesting that the anomaly is probably induced by the hydrothermal activities related to the volcanic rocks. The thresholds of Y and Zr in the N–S model and those in the C–A model are approximately equal. The distributions of Y and Zr can also be separated via two steps according to the two thresholds (Fig. 4e, f; Fig. 5e, f). The area with high Y and Zr concentrations overlaps the locations with high Cu and Co concentrations, and the areas with high Au and Pb concentrations, indicating the activation of both the hydrothermals related to the alkaline porphyries and the hydrothermals related to the mafic rocks, can induce enrichment of the elements in the third group, most of which are HFSEs (High field strength elements) (Fig. 8). Similarly, the area with Jurassic and Cretaceous rock and that with Emeishan mafic rock in the Li and U geochemical maps can generally be separated via the thresholds in the N–S and C–A models (Fig. 4g, h; Fig. 5g, h; Fig. 9). The Li and U are mainly enriched in the Triassic area, especially in the boundary between the Triassic and Permian mafic rocks. The concentrations of Cu, Co, Li and U in the rocks are much lower than the standards of ores. In the N–S fractal models of Cu, Co, Li and U, the fractal dimensions increase from the first segment to the third one, indicating that the proportion of the greater concentrations decreases, which is distinct from the mineralization elements as Au and Pb. 6. Discussions and conclusions The Heqing area, located in the Sanjiang ore belt, China, comprises the Beiya gold poly-metal orefield related to alkaline porphyry, Emeishan volcanic mafic rocks and sedimentary series. The explanation and delineation of geochemical anomalies in the region can provide important information for understanding of ore systems of the Heqing region or even the nearby ore cluster related to the alkaline porphyry or Emeishan volcanic mafic rocks. The 39 elements obtained J. Deng et al. / Journal of Geochemical Exploration 105 (2010) 95–105 101 Fig. 5. C–A model of the typical elements in the Heqing area, Yunnan Province, China: (a) Au, (b)Pb, (c) Cu, (d) Co, (e) Y, (f) Zr, (g) U, (h) Li. N–S model and the C–A model are different, suggesting the oreforming elements show more complex distribution. According to the thresholds, the element concentrations can be divided into 3 concentration segments or populations, each of which from a stream sediment survey can be typically classified into four groups. Two fractal models, the C–A model and the N–S model, are applied in determination of the geochemical thresholds. For the oreforming elements of the first group, the thresholds obtained from the Table 2 Thresholds and fractal dimensions of the N–S and C–A models of the typical elements in the Heqing area, Yunnan Province, China. Element Au Pb Cu Co Y Zr U Li T1 0.8 6.3 5.1 4.5 10.5 172 1.1 0.38 D1 T2 D2 T3 D3 rmax N–S C–A N–S C–A N–S C–A N–S C–A N–S C–A 0.76 0.32 0.09 0.2 0.59 0.51 0.07 0.12 0.41 0.08 0.02 0.11 0.28 0.31 0.23 0.14 2.3 17.2 24.4 11.9 22.1 272 1.6 31.8 2.03 17.2 19.5 13.7 22.06 271.99 1.9 33.1 2.86 2.00 0.77 1.93 3.21 2.6 2.57 2.62 1.78 3.98 0.93 1.11 2.91 3.23 2.83 4.42 6.1 62 173.3 49 33.2 526 7.6 57.1 24.4 45.8 140.6 55.7 31.36 525.98 7.6 57.1 1.05 0.95 5.01 10.95 12.84 5.79 4.39 4.33 3.98 0.92 5.1 18.14 16.92 11.97 7.85 13.44 rmin and rmax represent the element minimum and maximum concentrations respectively. The bold italicized numbers denote the thresholds used in this paper. 120 5686.5 1333.3 81.1 64.7 1260 185.7 16.19 102 J. Deng et al. / Journal of Geochemical Exploration 105 (2010) 95–105 Fig. 6. Anomaly delineation of Au and Pb. (a) Au anomaly delineation with the first threshold in the N–S model; (b) Au anomaly delineation with the second threshold in the N–S model; (c) Au anomaly delineation with the second threshold in the C–A model; (d) Pb anomaly delineation with the first threshold in the N–S model; (e) Pb anomaly delineation with the second threshold in the N–S model; (f) Pb anomaly delineation with the second threshold in the C–A model (The grey points are not involved in the calculations of fractal models in Fig. 6d, e, g, h). is generally distributed in the area dominated by a single type of geological event. It shows that porphyry-related hydrothermal activations tend to result in the enrichment of the Au–Pb–Zn–Ag group, that hydrothermal activations in the Emeishan LIP correlated with the enrichment of the Cu–Co–Mn–P–V–Fe group, that the hydrothermals related to the porphyry or those related to the mafic rock can both induce the concentration of HFSEs, and that the sedimentary rocks are more likely to cause high concentrations of the Li–F–U group than porphyry and mafic rocks. It further indicates that the sedimentary series, volcanic rocks and mineralization events are characterized by the different fractal patterns of element distributions. Acknowledgements This research is supported by the National Basic Research Program (No. 2009CB421000), the National Natural Science Foundation of China (Grant nos. 40572063, 40672064 40872194, and 40872068), the 111 project (No. B07011), and the Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT). J. 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