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projects/project_face_selectivity/auto/face_selectivity.el
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projects/project_face_selectivity/auto/face_selectivity.el
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(TeX-add-style-hook
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"face_selectivity"
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(lambda ()
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'(("exam" "a4paper" "12pt" "pdftex")))
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(TeX-run-style-hooks
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"latex2e"
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"../header"
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"../instructions"
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"exam"
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"exam12")
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(TeX-add-symbols
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"ptitle"))
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:latex)
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projects/project_face_selectivity/face_selectivity.tex
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projects/project_face_selectivity/face_selectivity.tex
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\documentclass[a4paper,12pt,pdftex]{exam}
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\newcommand{\ptitle}{Face-selectivity index}
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\input{../header.tex}
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\firstpagefooter{Supervisor: Marius G\"orner}{}%
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{email: marius.goerner@uni-tuebingen.de}
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\begin{document}
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\input{../instructions.tex}
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%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Estimating the face-selectivity index (FSI) of neurons}
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In the temporal lobe of primates you can find neurons that respond
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selectively to a certain type of object category. You may have heard
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stories about the famous grandmother neurons which are supposed to
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respond exclusively when the subject perceives a particular
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person. Even though the existence of a grandmother neuron in the
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strict sense is implausible, the concept exemplifies the observation
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that sensory neurons within the ventral visual stream are tuned to
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certain stimuli types. One of the most important and first visual
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stimulus the newborn typically perceives is the mother's face. It is
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believed that the early ubiquity of faces and their importance for
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social interactions triggers the development of the so called
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face-patch system within the temporal lobe of primates.\par
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Your task here will be to estimate the \textit{selectivity index}
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($SI$) of neurons that were recorded in the superior temporal sulcus
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of a rhesus monkey during the visual presentation of objects of different
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categories.
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\begin{questions}
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\question
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In the accompanying datasets you find the
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\texttt{spiketimes} of 184 neurons that were recorded during the visual
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presentation of non-face like stimuli (tools, fruits, hands and
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bodies) and averted and directed faces of humans and rhesus
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monkeys. Each \texttt{.mat}-file contains the data of one neuron
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which was recorded during multiple trials. Spike times are given in
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ms relative to trial onset. Each trial consists of 400 ms of
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baseline recording (presentation of white noise) followed by 400 ms
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of stimulus presentation. Each trial belongs to one object category,
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trial identities can be found in the \texttt{*\_trials}-fields
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(9 fields).
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\begin{parts}
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\part
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Illustrate the spiking activity of all neurons, sorted by object
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category, in a raster plot. As a result you should get one plot
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for each neuron subdevided in subplots for the different
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categories. Mind that there are four categories that contain faces
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(\texttt{averted\_human}, \texttt{face} (straight human face),
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\texttt{monkey} (straight monkey face) and \texttt{gaze\_monkey}),
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you may want to analyze them separately as well combined. Add also
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a marker where the stimulus starts.
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\part
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Estimate the time-resolved firing rate of each neuron for each
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object category. Use at least two different methods
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(e.g. instantaneous firing rate based on interspike intervals,
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spike counting within bins (PSTH), kernel density estimation). Do
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this individually for each trial and average afterwards in order
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to obtain the standard deviation of the firing rates. Plot the
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firing rates and their standard deviations on top of the raster
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plots. Which of the methods appears to be a better representation
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of the spike rasters?
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\part
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Generate figures that show for each neuron the firing rates
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belonging to each object category. Don't forget to add an
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appropriate legend.
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\part
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Next step is to examine the obtained firing rates for significant
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modulations.
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% First, normalize each response to baseline activity
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% (first 400 ms). Why is the normalization useful?
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% \par
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Now, determine the periods within which the neurons activity
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deviates from the baseline activity at least by $2*\sigma$. Do
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this for each object category and mark the periods in the plots in
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an appropriate way. Are there also inhibitory responses? \par
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Describe qualitatively the response properties (phasic, tonic, are
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there differences between neurons and/or stimulus categories?).
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\part
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The $SI$ gives an estimate of how strong a neuron is tuned to the
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chosen object categories. It is given by the neurons response
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during the presentation of the one category compared to the other
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category.
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\begin{equation}
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SI = \frac{ \mu_{\text{Response to category A}} - \mu_{ \text{Response
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to category B}} } { \mu_{\text{Response to category A}} + \mu_{ \text{Response
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to category B} } }
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\end{equation}
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$SI$ can take values between -1 and 1 which indicates tuning to
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the one or to the other category. There are different
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possibilities of how it can be estimated. The easiest way would be
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to average the spike count during the whole time of stimulus
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presentation. However, if responses are phasic you will
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underestimate the $SI$. Therefor, you should limit the estimate to
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periods of significant modulations. Use the periods determined in
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(d). Store all obtained $SI$s within one variable. We are mainly
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interested to identify face-selective neurons but feel free to test
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the neurons for selectivity to other categories, as well.
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\part
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Plot the distribution of $SI$ values and describe it
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qualitatively. Does it indicate a continuum or a distinct
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population of face-selective neurons. \par
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Think about a statistical test that tells you whether a given
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neuron is significantly modulated by one or the other category
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(try different combinations of categories). List cells that show
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significant modulation to faces and non-faces. Which is the
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minimum SI that reaches significance when choosing
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$\alpha = 0.05$? Is it an all or nothing selectivity?
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\end{parts}
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\end{questions}
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\end{document}
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\documentclass[a4paper,12pt,pdftex]{exam}
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\newcommand{\ptitle}{Adaptation time-constant}
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\input{../header.tex}
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\firstpagefooter{Supervisor: Jan Grewe}{phone: 29 74588}%
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{email: jan.grewe@uni-tuebingen.de}
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\begin{document}
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\input{../instructions.tex}
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%%%%%%%%%%%%%% Questions %%%%%%%%%%%%%%%%%%%%%%%%%
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\section{Estimating the adaptation time-constant}
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Stimulating a neuron with a constant stimulus for an extended period of time
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often leads to a strong initial response that relaxes over time. This
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process is called adaptation. Your task here is to
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estimate the time-constant of the firing-rate adaptation in P-unit
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electroreceptors of the weakly electric fish \textit{Apteronotus
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leptorhynchus}.
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\begin{questions}
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\question In the accompanying datasets you find the
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\textit{spike\_times} of an P-unit electroreceptor to a stimulus of
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a certain intensity, i.e. the \textit{contrast} which is also stored
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in the file. The contrast of the stimulus is a measure relative to
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the amplitude of fish's field, it has no unit. The data is sampled
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with 20\,kHz sampling frequency and spike times are given in
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milliseconds (not seconds!) relative to the stimulus onset.
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\begin{parts}
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\part Estimate for each stimulus intensity the PSTH. You will see
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that there are three parts: (i) The first 200\,ms is the baseline
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(no stimulus) activity. (ii) During the next 1000\,ms the stimulus
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was switched on. (iii) After stimulus offset the neuronal activity
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was recorded for further 825\,ms. Find an appropriate bin-width
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for the PSTH.
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\part Estimate the adaptation time-constant for both the stimulus
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on- and offset. To do this fit an exponential function
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$f_{A,\tau,y_0}(t)$ to appropriate regions of the data:
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\begin{equation}
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f_{A,\tau,y_0}(t) = A \cdot e^{-\frac{t}{\tau}} + y_0,
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\end{equation}
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where $t$ is time, $A$ the (positive or negative) amplitude of the
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exponential decay, $\tau$ the adaptation time-constant, and $y_0$
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an offset.
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Before you do the fitting, familiarize yourself with the three
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parameter of the exponential function. What is the value of
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$f_{A,\tau,y_0}(t)$ at $t=0$? What is the value for large times? How does
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$f_{A,\tau,y_0}(t)$ change if you change either of the parameter?
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Which of the parameter could you directly estimate from the data
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(without fitting)?
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How could you get good estimates for the other parameter?
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Do the fit and show the resulting exponential function together
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with the data.
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\part Do the estimated time-constants depend on stimulus intensity?
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Use an appropriate statistical test to support your observation.
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\end{parts}
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\end{questions}
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\end{document}
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