Publications

Home » Publications » Cooperative dynamics in visual processing

Cooperative dynamics in visual processing

An oscillator neural network model that is capable of processing local and global attributes of sensory input is proposed and analyzed. Local features in the input are encoded in the average firing rate of the neurons while the relationships between these features can modulate the temporal structure of the neuronal output. Neurons that share the same receptive field interact via relatively strong feedback connections, while neurons with different fields interact via specific, relatively weak connections. The model is studied in the context of processing visual stimuli that are coded for orientation. The effect of axonal propagation delays on synchronization of oscillatory activity is analyzed. We compare our theoretical results with recent experimental evidence on coherent oscillatory activity in the cat visual cortex. The computational capabilities of the model for performing discrimination and segmentation tasks are demonstrated. Coding and linking of visual features other than orientation are discussed.

Authors: Sompolinsky H, Golomb D, Kleinfeld D.

Year of publication: 1991

Journal: Phys Rev A. 1991 Jun 15;43(12):6990-7011.

Link to publication:

https://doi.org/10.1103/PhysRevA.43.6990

Labs:

Haim Sompolinsky

",e=e.removeChild(e.firstChild)):"string"==typeof o.is?e=l.createElement(a,{is:o.is}):(e=l.createElement(a),"select"===a&&(l=e,o.multiple?l.multiple=!0:o.size&&(l.size=o.size))):e=l.createElementNS(e,a),e[Ni]=t,e[Pi]=o,Pl(e,t,!1,!1),t.stateNode=e,l=Ae(a,o),a){case"iframe":case"object":case"embed":Te("load",e),u=o;break;case"video":case"audio":for(u=0;u<$a.length;u++)Te($a[u],e);u=o;break;case"source":Te("error",e),u=o;break;case"img":case"image":case"link":Te("error",e),Te("load",e),u=o;break;case"form":Te("reset",e),Te("submit",e),u=o;break;case"details":Te("toggle",e),u=o;break;case"input":A(e,o),u=M(e,o),Te("invalid",e),Ie(n,"onChange");break;case"option":u=B(e,o);break;case"select":e._wrapperState={wasMultiple:!!o.multiple},u=Uo({},o,{value:void 0}),Te("invalid",e),Ie(n,"onChange");break;case"textarea":V(e,o),u=H(e,o),Te("invalid",e),Ie(n,"onChange");break;default:u=o}Me(a,u);var s=u;for(i in s)if(s.hasOwnProperty(i)){var c=s[i];"style"===i?ze(e,c):"dangerouslySetInnerHTML"===i?(c=c?c.__html:void 0,null!=c&&Aa(e,c)):"children"===i?"string"==typeof c?("textarea"!==a||""!==c)&&X(e,c):"number"==typeof c&&X(e,""+c):"suppressContentEditableWarning"!==i&&"suppressHydrationWarning"!==i&&"autoFocus"!==i&&(ea.hasOwnProperty(i)?null!=c&&Ie(n,i):null!=c&&x(e,i,c,l))}switch(a){case"input":L(e),j(e,o,!1);break;case"textarea":L(e),$(e);break;case"option":null!=o.value&&e.setAttribute("value",""+P(o.value));break;case"select":e.multiple=!!o.multiple,n=o.value,null!=n?q(e,!!o.multiple,n,!1):null!=o.defaultValue&&q(e,!!o.multiple,o.defaultValue,!0);break;default:"function"==typeof u.onClick&&(e.onclick=Fe)}Ve(a,o)&&(t.effectTag|=4)}null!==t.ref&&(t.effectTag|=128)}return null;case 6:if(e&&null!=t.stateNode)Ll(e,t,e.memoizedProps,o);else{if("string"!=typeof o&&null===t.stateNode)throw Error(r(166));n=yn(yu.current),yn(bu.current),Jn(t)?(n=t.stateNode,o=t.memoizedProps,n[Ni]=t,n.nodeValue!==o&&(t.effectTag|=4)):(n=(9===n.nodeType?n:n.ownerDocument).createTextNode(o),n[Ni]=t,t.stateNode=n)}return null;case 13:return zt(vu),o=t.memoizedState,0!==(64&t.effectTag)?(t.expirationTime=n,t):(n=null!==o,o=!1,null===e?void 0!==t.memoizedProps.fallback&&Jn(t):(a=e.memoizedState,o=null!==a,n||null===a||(a=e.child.sibling,null!==a&&(i=t.firstEffect,null!==i?(t.firstEffect=a,a.nextEffect=i):(t.firstEffect=t.lastEffect=a,a.nextEffect=null),a.effectTag=8))),n&&!o&&0!==(2&t.mode)&&(null===e&&!0!==t.memoizedProps.unstable_avoidThisFallback||0!==(1&vu.current)?rs===Qu&&(rs=Yu):(rs!==Qu&&rs!==Yu||(rs=Gu),0!==us&&null!==es&&(To(es,ns),Co(es,us)))),(n||o)&&(t.effectTag|=4),null);case 4:return wn(),Ol(t),null;case 10:return Zt(t),null;case 17:return It(t.type)&&Ft(),null;case 19:if(zt(vu),o=t.memoizedState,null===o)return null;if(a=0!==(64&t.effectTag),i=o.rendering,null===i){if(a)mr(o,!1);else if(rs!==Qu||null!==e&&0!==(64&e.effectTag))for(i=t.child;null!==i;){if(e=_n(i),null!==e){for(t.effectTag|=64,mr(o,!1),a=e.updateQueue,null!==a&&(t.updateQueue=a,t.effectTag|=4),null===o.lastEffect&&(t.firstEffect=null),t.lastEffect=o.lastEffect,o=t.child;null!==o;)a=o,i=n,a.effectTag&=2,a.nextEffect=null,a.firstEffect=null,a.lastEffect=null,e=a.alternate,null===e?(a.childExpirationTime=0,a.expirationTime=i,a.child=null,a.memoizedProps=null,a.memoizedState=null,a.updateQueue=null,a.dependencies=null):(a.childExpirationTime=e.childExpirationTime,a.expirationTime=e.expirationTime,a.child=e.child,a.memoizedProps=e.memoizedProps,a.memoizedState=e.memoizedState,a.updateQueue=e.updateQueue,i=e.dependencies,a.dependencies=null===i?null:{expirationTime:i.expirationTime,firstContext:i.firstContext,responders:i.responders}),o=o.sibling;return Mt(vu,1&vu.current|2),t.child}i=i.sibling}}else{if(!a)if(e=_n(i),null!==e){if(t.effectTag|=64,a=!0,n=e.updateQueue,null!==n&&(t.updateQueue=n,t.effectTag|=4),mr(o,!0),null===o.tail&&"hidden"===o.tailMode&&!i.alternate)return t=t.lastEffect=o.lastEffect,null!==t&&(t.nextEffect=null),null}else 2*ru()-o.renderingStartTime>o.tailExpiration&&1t)&&vs.set(e,t)))}}function Ur(e,t){e.expirationTimee?n:e,2>=e&&t!==e?0:e}function qr(e){if(0!==e.lastExpiredTime)e.callbackExpirationTime=1073741823,e.callbackPriority=99,e.callbackNode=$t(Vr.bind(null,e));else{var t=Br(e),n=e.callbackNode;if(0===t)null!==n&&(e.callbackNode=null,e.callbackExpirationTime=0,e.callbackPriority=90);else{var r=Fr();if(1073741823===t?r=99:1===t||2===t?r=95:(r=10*(1073741821-t)-10*(1073741821-r),r=0>=r?99:250>=r?98:5250>=r?97:95),null!==n){var o=e.callbackPriority;if(e.callbackExpirationTime===t&&o>=r)return;n!==Yl&&Bl(n)}e.callbackExpirationTime=t,e.callbackPriority=r,t=1073741823===t?$t(Vr.bind(null,e)):Wt(r,Hr.bind(null,e),{timeout:10*(1073741821-t)-ru()}),e.callbackNode=t}}}function Hr(e,t){if(ks=0,t)return t=Fr(),No(e,t),qr(e),null;var n=Br(e);if(0!==n){if(t=e.callbackNode,(Ju&(Wu|$u))!==Hu)throw Error(r(327));if(lo(),e===es&&n===ns||Kr(e,n),null!==ts){var o=Ju;Ju|=Wu;for(var a=Yr();;)try{eo();break}catch(t){Xr(e,t)}if(Gt(),Ju=o,Bu.current=a,rs===Ku)throw t=os,Kr(e,n),To(e,n),qr(e),t;if(null===ts)switch(a=e.finishedWork=e.current.alternate,e.finishedExpirationTime=n,o=rs,es=null,o){case Qu:case Ku:throw Error(r(345));case Xu:No(e,2=n){e.lastPingedTime=n,Kr(e,n);break}}if(i=Br(e),0!==i&&i!==n)break;if(0!==o&&o!==n){e.lastPingedTime=o;break}e.timeoutHandle=Si(oo.bind(null,e),a);break}oo(e);break;case Gu:if(To(e,n),o=e.lastSuspendedTime,n===o&&(e.nextKnownPendingLevel=ro(a)),ss&&(a=e.lastPingedTime,0===a||a>=n)){e.lastPingedTime=n,Kr(e,n);break}if(a=Br(e),0!==a&&a!==n)break;if(0!==o&&o!==n){e.lastPingedTime=o;break}if(1073741823!==is?o=10*(1073741821-is)-ru():1073741823===as?o=0:(o=10*(1073741821-as)-5e3,a=ru(),n=10*(1073741821-n)-a,o=a-o,0>o&&(o=0),o=(120>o?120:480>o?480:1080>o?1080:1920>o?1920:3e3>o?3e3:4320>o?4320:1960*Uu(o/1960))-o,n=o?o=0:(a=0|l.busyDelayMs,i=ru()-(10*(1073741821-i)-(0|l.timeoutMs||5e3)),o=i<=a?0:a+o-i),10 component higher in the tree to provide a loading indicator or placeholder to display."+N(i))}rs!==Zu&&(rs=Xu),l=yr(l,i),f=a;do{switch(f.tag){case 3:u=l,f.effectTag|=4096,f.expirationTime=t;var w=Ar(f,u,t);ln(f,w); break e;case 1:u=l;var E=f.type,k=f.stateNode;if(0===(64&f.effectTag)&&("function"==typeof E.getDerivedStateFromError||null!==k&&"function"==typeof k.componentDidCatch&&(null===ms||!ms.has(k)))){f.effectTag|=4096,f.expirationTime=t;var _=Ir(f,u,t);ln(f,_);break e}}f=f.return}while(null!==f)}ts=no(ts)}catch(e){t=e;continue}break}}function Yr(){var e=Bu.current;return Bu.current=Cu,null===e?Cu:e}function Gr(e,t){eus&&(us=e)}function Jr(){for(;null!==ts;)ts=to(ts)}function eo(){for(;null!==ts&&!Gl();)ts=to(ts)}function to(e){var t=Fu(e.alternate,e,ns);return e.memoizedProps=e.pendingProps,null===t&&(t=no(e)),qu.current=null,t}function no(e){ts=e;do{var t=ts.alternate;if(e=ts.return,0===(2048&ts.effectTag)){if(t=br(t,ts,ns),1===ns||1!==ts.childExpirationTime){for(var n=0,r=ts.child;null!==r;){var o=r.expirationTime,a=r.childExpirationTime;o>n&&(n=o),a>n&&(n=a),r=r.sibling}ts.childExpirationTime=n}if(null!==t)return t;null!==e&&0===(2048&e.effectTag)&&(null===e.firstEffect&&(e.firstEffect=ts.firstEffect),null!==ts.lastEffect&&(null!==e.lastEffect&&(e.lastEffect.nextEffect=ts.firstEffect),e.lastEffect=ts.lastEffect),1e?t:e}function oo(e){var t=qt();return Vt(99,ao.bind(null,e,t)),null}function ao(e,t){do lo();while(null!==gs);if((Ju&(Wu|$u))!==Hu)throw Error(r(327));var n=e.finishedWork,o=e.finishedExpirationTime;if(null===n)return null;if(e.finishedWork=null,e.finishedExpirationTime=0,n===e.current)throw Error(r(177));e.callbackNode=null,e.callbackExpirationTime=0,e.callbackPriority=90,e.nextKnownPendingLevel=0;var a=ro(n);if(e.firstPendingTime=a,o<=e.lastSuspendedTime?e.firstSuspendedTime=e.lastSuspendedTime=e.nextKnownPendingLevel=0:o<=e.firstSuspendedTime&&(e.firstSuspendedTime=o-1),o<=e.lastPingedTime&&(e.lastPingedTime=0),o<=e.lastExpiredTime&&(e.lastExpiredTime=0),e===es&&(ts=es=null,ns=0),1u&&(c=u,u=l,l=c),c=Ue(w,l),f=Ue(w,u),c&&f&&(1!==k.rangeCount||k.anchorNode!==c.node||k.anchorOffset!==c.offset||k.focusNode!==f.node||k.focusOffset!==f.offset)&&(E=E.createRange(),E.setStart(c.node,c.offset),k.removeAllRanges(),l>u?(k.addRange(E),k.extend(f.node,f.offset)):(E.setEnd(f.node,f.offset),k.addRange(E)))))),E=[];for(k=w;k=k.parentNode;)1===k.nodeType&&E.push({element:k,left:k.scrollLeft,top:k.scrollTop});for("function"==typeof w.focus&&w.focus(),w=0;w=t&&e<=t}function To(e,t){var n=e.firstSuspendedTime,r=e.lastSuspendedTime;nt||0===n)&&(e.lastSuspendedTime=t),t<=e.lastPingedTime&&(e.lastPingedTime=0),t<=e.lastExpiredTime&&(e.lastExpiredTime=0)}function Co(e,t){t>e.firstPendingTime&&(e.firstPendingTime=t);var n=e.firstSuspendedTime;0!==n&&(t>=n?e.firstSuspendedTime=e.lastSuspendedTime=e.nextKnownPendingLevel=0:t>=e.lastSuspendedTime&&(e.lastSuspendedTime=t+1),t>e.nextKnownPendingLevel&&(e.nextKnownPendingLevel=t))}function No(e,t){var n=e.lastExpiredTime;(0===n||n>t)&&(e.lastExpiredTime=t)}function Po(e,t,n,o){var a=t.current,i=Fr(),l=su.suspense;i=jr(i,a,l);e:if(n){n=n._reactInternalFiber;t:{if(J(n)!==n||1!==n.tag)throw Error(r(170));var u=n;do{switch(u.tag){case 3:u=u.stateNode.context;break t;case 1:if(It(u.type)){u=u.stateNode.__reactInternalMemoizedMergedChildContext;break t}}u=u.return}while(null!==u);throw Error(r(171))}if(1===n.tag){var s=n.type;if(It(s)){n=Dt(n,s,u);break e}}n=u}else n=Al;return null===t.context?t.context=n:t.pendingContext=n,t=on(i,l),t.payload={element:e},o=void 0===o?null:o,null!==o&&(t.callback=o),an(a,t),Dr(a,i),i}function Oo(e){if(e=e.current,!e.child)return null;switch(e.child.tag){case 5:return e.child.stateNode;default:return e.child.stateNode}}function Ro(e,t){e=e.memoizedState,null!==e&&null!==e.dehydrated&&e.retryTime"+t.valueOf().toString()+"",t=ba.firstChild;e.firstChild;)e.removeChild(e.firstChild);for(;t.firstChild;)e.appendChild(t.firstChild)}}),Ia={animationend:Y("Animation","AnimationEnd"),animationiteration:Y("Animation","AnimationIteration"),animationstart:Y("Animation","AnimationStart"),transitionend:Y("Transition","TransitionEnd")},Fa={},ja={};na&&(ja=document.createElement("div").style,"AnimationEvent"in window||(delete Ia.animationend.animation,delete Ia.animationiteration.animation,delete Ia.animationstart.animation),"TransitionEvent"in window||delete Ia.transitionend.transition);var Da,Ua,Ba,qa=G("animationend"),Ha=G("animationiteration"),Va=G("animationstart"),Wa=G("transitionend"),$a="abort canplay canplaythrough durationchange emptied encrypted ended error loadeddata loadedmetadata loadstart pause play playing progress ratechange seeked seeking stalled suspend timeupdate volumechange waiting".split(" "),Qa=new("function"==typeof WeakMap?WeakMap:Map),Ka=null,Xa=[],Ya=!1,Ga=[],Za=null,Ja=null,ei=null,ti=new Map,ni=new Map,ri=[],oi="mousedown mouseup touchcancel touchend touchstart auxclick dblclick pointercancel pointerdown pointerup dragend dragstart drop compositionend compositionstart keydown keypress keyup input textInput close cancel copy cut paste click change contextmenu reset submit".split(" "),ai="focus blur dragenter dragleave mouseover mouseout pointerover pointerout gotpointercapture lostpointercapture".split(" "),ii={},li=new Map,ui=new Map,si=["abort","abort",qa,"animationEnd",Ha,"animationIteration",Va,"animationStart","canplay","canPlay","canplaythrough","canPlayThrough","durationchange","durationChange","emptied","emptied","encrypted","encrypted","ended","ended","error","error","gotpointercapture","gotPointerCapture","load","load","loadeddata","loadedData","loadedmetadata","loadedMetadata","loadstart","loadStart","lostpointercapture","lostPointerCapture","playing","playing","progress","progress","seeking","seeking","stalled","stalled","suspend","suspend","timeupdate","timeUpdate",Wa,"transitionEnd","waiting","waiting"];Se("blur blur cancel cancel click click close close contextmenu contextMenu copy copy cut cut auxclick auxClick dblclick doubleClick dragend dragEnd dragstart dragStart drop drop focus focus input input invalid invalid keydown keyDown keypress keyPress keyup keyUp mousedown mouseDown mouseup mouseUp paste paste pause pause play play pointercancel pointerCancel pointerdown pointerDown pointerup pointerUp ratechange rateChange reset reset seeked seeked submit submit touchcancel touchCancel touchend touchEnd touchstart touchStart volumechange volumeChange".split(" "),0),Se("drag drag dragenter dragEnter dragexit dragExit dragleave dragLeave dragover dragOver mousemove mouseMove mouseout mouseOut mouseover mouseOver pointermove pointerMove pointerout pointerOut pointerover pointerOver scroll scroll toggle toggle touchmove touchMove wheel wheel".split(" "),1),Se(si,2);for(var ci="change selectionchange textInput compositionstart compositionend compositionupdate".split(" "),fi=0;fi=ji),Bi=String.fromCharCode(32),qi={beforeInput:{phasedRegistrationNames:{bubbled:"onBeforeInput",captured:"onBeforeInputCapture"},dependencies:["compositionend","keypress","textInput","paste"]},compositionEnd:{phasedRegistrationNames:{bubbled:"onCompositionEnd",captured:"onCompositionEndCapture"},dependencies:"blur compositionend keydown keypress keyup mousedown".split(" ")},compositionStart:{phasedRegistrationNames:{bubbled:"onCompositionStart",captured:"onCompositionStartCapture"},dependencies:"blur compositionstart keydown keypress keyup mousedown".split(" ")},compositionUpdate:{phasedRegistrationNames:{bubbled:"onCompositionUpdate",captured:"onCompositionUpdateCapture"},dependencies:"blur compositionupdate keydown keypress keyup mousedown".split(" ")}},Hi=!1,Vi=!1,Wi={eventTypes:qi,extractEvents:function(e,t,n,r){var o;if(Fi)e:{switch(e){case"compositionstart":var a=qi.compositionStart;break e;case"compositionend":a=qi.compositionEnd;break e;case"compositionupdate":a=qi.compositionUpdate;break e}a=void 0}else Vi?dt(e,n)&&(a=qi.compositionEnd):"keydown"===e&&229===n.keyCode&&(a=qi.compositionStart);return a?(Ui&&"ko"!==n.locale&&(Vi||a!==qi.compositionStart?a===qi.compositionEnd&&Vi&&(o=at()):(Ri=r,Li="value"in Ri?Ri.value:Ri.textContent,Vi=!0)),a=Mi.getPooled(a,t,n,r),o?a.data=o:(o=pt(n),null!==o&&(a.data=o)),ot(a),o=a):o=null,(e=Di?ht(e,n):mt(e,n))?(t=Ai.getPooled(qi.beforeInput,t,n,r),t.data=e,ot(t)):t=null,null===o?t:null===t?o:[o,t]}},$i={color:!0,date:!0,datetime:!0,"datetime-local":!0,email:!0,month:!0,number:!0,password:!0,range:!0,search:!0,tel:!0,text:!0,time:!0,url:!0,week:!0},Qi={change:{phasedRegistrationNames:{bubbled:"onChange",captured:"onChangeCapture"},dependencies:"blur change click focus input keydown keyup selectionchange".split(" ")}},Ki=null,Xi=null,Yi=!1;na&&(Yi=se("input")&&(!document.documentMode||9=document.documentMode,fl={select:{phasedRegistrationNames:{bubbled:"onSelect",captured:"onSelectCapture"},dependencies:"blur contextmenu dragend focus keydown keyup mousedown mouseup selectionchange".split(" ")}},dl=null,pl=null,hl=null,ml=!1,bl={eventTypes:fl,extractEvents:function(e,t,n,r,o,a){if(o=a||(r.window===r?r.document:9===r.nodeType?r:r.ownerDocument),!(a=!o)){e:{o=Z(o),a=ta.onSelect;for(var i=0;inu?Hl:function(){return Hl()-nu},ou={current:null},au=null,iu=null,lu=null,uu=!1,su=ma.ReactCurrentBatchConfig,cu=(new Do.Component).refs,fu={isMounted:function(e){return!!(e=e._reactInternalFiber)&&J(e)===e},enqueueSetState:function(e,t,n){e=e._reactInternalFiber;var r=Fr(),o=su.suspense;r=jr(r,e,o),o=on(r,o),o.payload=t,void 0!==n&&null!==n&&(o.callback=n),an(e,o),Dr(e,r)},enqueueReplaceState:function(e,t,n){e=e._reactInternalFiber;var r=Fr(),o=su.suspense;r=jr(r,e,o),o=on(r,o),o.tag=1,o.payload=t,void 0!==n&&null!==n&&(o.callback=n),an(e,o),Dr(e,r)},enqueueForceUpdate:function(e,t){e=e._reactInternalFiber;var n=Fr(),r=su.suspense;n=jr(n,e,r),r=on(n,r),r.tag=2,void 0!==t&&null!==t&&(r.callback=t),an(e,r),Dr(e,n)}},du=Array.isArray,pu=gn(!0),hu=gn(!1),mu={},bu={current:mu},gu={current:mu},yu={current:mu},vu={current:0},wu=ma.ReactCurrentDispatcher,Eu=ma.ReactCurrentBatchConfig,ku=0,_u=null,xu=null,Su=null,Tu=!1,Cu={readContext:tn,useCallback:Sn,useContext:Sn,useEffect:Sn,useImperativeHandle:Sn,useLayoutEffect:Sn,useMemo:Sn,useReducer:Sn,useRef:Sn,useState:Sn,useDebugValue:Sn,useResponder:Sn,useDeferredValue:Sn,useTransition:Sn},Nu={readContext:tn,useCallback:Vn,useContext:tn,useEffect:jn,useImperativeHandle:function(e,t,n){return n=null!==n&&void 0!==n?n.concat([e]):null,In(4,2,Bn.bind(null,t,e),n)},useLayoutEffect:function(e,t){return In(4,2,e,t)},useMemo:function(e,t){var n=Nn();return t=void 0===t?null:t,e=e(),n.memoizedState=[e,t],e},useReducer:function(e,t,n){var r=Nn();return t=void 0!==n?n(t):t,r.memoizedState=r.baseState=t,e=r.queue={pending:null,dispatch:null,lastRenderedReducer:e,lastRenderedState:t},e=e.dispatch=Kn.bind(null,_u,e),[r.memoizedState,e]},useRef:function(e){var t=Nn();return e={current:e},t.memoizedState=e},useState:zn,useDebugValue:Hn,useResponder:xn,useDeferredValue:function(e,t){var n=zn(e),r=n[0],o=n[1];return jn(function(){var n=Eu.suspense;Eu.suspense=void 0===t?null:t;try{o(e)}finally{Eu.suspense=n}},[e,t]),r},useTransition:function(e){var t=zn(!1),n=t[0];return t=t[1],[Vn(Qn.bind(null,t,e),[t,e]),n]}},Pu={readContext:tn,useCallback:Wn,useContext:tn,useEffect:Dn,useImperativeHandle:qn,useLayoutEffect:Un,useMemo:$n,useReducer:Rn,useRef:An,useState:function(){return Rn(On)},useDebugValue:Hn,useResponder:xn,useDeferredValue:function(e,t){var n=Rn(On),r=n[0],o=n[1];return Dn(function(){var n=Eu.suspense;Eu.suspense=void 0===t?null:t;try{o(e)}finally{Eu.suspense=n}},[e,t]),r},useTransition:function(e){var t=Rn(On),n=t[0];return t=t[1],[Wn(Qn.bind(null,t,e),[t,e]),n]}},Ou={readContext:tn,useCallback:Wn,useContext:tn,useEffect:Dn,useImperativeHandle:qn,useLayoutEffect:Un,useMemo:$n,useReducer:Ln,useRef:An,useState:function(){return Ln(On)},useDebugValue:Hn,useResponder:xn,useDeferredValue:function(e,t){var n=Ln(On),r=n[0],o=n[1];return Dn(function(){var n=Eu.suspense;Eu.suspense=void 0===t?null:t;try{o(e)}finally{Eu.suspense=n}},[e,t]),r},useTransition:function(e){var t=Ln(On),n=t[0];return t=t[1],[Wn(Qn.bind(null,t,e),[t,e]),n]}},Ru=null,Lu=null,zu=!1,Mu=ma.ReactCurrentOwner,Au=!1,Iu={dehydrated:null,retryTime:0};Pl=function(e,t){for(var n=t.child;null!==n;){if(5===n.tag||6===n.tag)e.appendChild(n.stateNode);else if(4!==n.tag&&null!==n.child){n.child.return=n,n=n.child;continue}if(n===t)break;for(;null===n.sibling;){if(null===n.return||n.return===t)return;n=n.return}n.sibling.return=n.return,n=n.sibling}},Ol=function(){},Rl=function(e,t,n,r,o){var a=e.memoizedProps;if(a!==r){var i=t.stateNode;switch(yn(bu.current),e=null,n){case"input":a=M(i,a),r=M(i,r),e=[];break;case"option":a=B(i,a),r=B(i,r),e=[];break;case"select":a=Uo({},a,{value:void 0}),r=Uo({},r,{value:void 0}),e=[];break;case"textarea":a=H(i,a),r=H(i,r),e=[];break;default:"function"!=typeof a.onClick&&"function"==typeof r.onClick&&(i.onclick=Fe)}Me(n,r);var l,u;n=null;for(l in a)if(!r.hasOwnProperty(l)&&a.hasOwnProperty(l)&&null!=a[l])if("style"===l)for(u in i=a[l])i.hasOwnProperty(u)&&(n||(n={}),n[u]="");else"dangerouslySetInnerHTML"!==l&&"children"!==l&&"suppressContentEditableWarning"!==l&&"suppressHydrationWarning"!==l&&"autoFocus"!==l&&(ea.hasOwnProperty(l)?e||(e=[]):(e=e||[]).push(l,null));for(l in r){var s=r[l];if(i=null!=a?a[l]:void 0,r.hasOwnProperty(l)&&s!==i&&(null!=s||null!=i))if("style"===l)if(i){for(u in i)!i.hasOwnProperty(u)||s&&s.hasOwnProperty(u)||(n||(n={}),n[u]="");for(u in s)s.hasOwnProperty(u)&&i[u]!==s[u]&&(n||(n={}),n[u]=s[u])}else n||(e||(e=[]),e.push(l,n)),n=s;else"dangerouslySetInnerHTML"===l?(s=s?s.__html:void 0,i=i?i.__html:void 0,null!=s&&i!==s&&(e=e||[]).push(l,s)):"children"===l?i===s||"string"!=typeof s&&"number"!=typeof s||(e=e||[]).push(l,""+s):"suppressContentEditableWarning"!==l&&"suppressHydrationWarning"!==l&&(ea.hasOwnProperty(l)?(null!=s&&Ie(o,l),e||i===s||(e=[])):(e=e||[]).push(l,s))}n&&(e=e||[]).push("style",n),o=e,(t.updateQueue=o)&&(t.effectTag|=4)}},Ll=function(e,t,n,r){n!==r&&(t.effectTag|=4)};var Fu,ju="function"==typeof WeakSet?WeakSet:Set,Du="function"==typeof WeakMap?WeakMap:Map,Uu=Math.ceil,Bu=ma.ReactCurrentDispatcher,qu=ma.ReactCurrentOwner,Hu=0,Vu=8,Wu=16,$u=32,Qu=0,Ku=1,Xu=2,Yu=3,Gu=4,Zu=5,Ju=Hu,es=null,ts=null,ns=0,rs=Qu,os=null,as=1073741823,is=1073741823,ls=null,us=0,ss=!1,cs=0,fs=500,ds=null,ps=!1,hs=null,ms=null,bs=!1,gs=null,ys=90,vs=null,ws=0,Es=null,ks=0;Fu=function(e,t,n){var o=t.expirationTime;if(null!==e){var a=t.pendingProps;if(e.memoizedProps!==a||Fl.current)Au=!0;else{if(o=n?cr(e,t,n):(Mt(vu,1&vu.current),t=hr(e,t,n),null!==t?t.sibling:null);Mt(vu,1&vu.current);break;case 19:if(o=t.childExpirationTime>=n,0!==(64&e.effectTag)){if(o)return pr(e,t,n);t.effectTag|=64}if(a=t.memoizedState,null!==a&&(a.rendering=null,a.tail=null),Mt(vu,vu.current),!o)return null}return hr(e,t,n)}Au=!1}}else Au=!1;switch(t.expirationTime=0,t.tag){case 2:if(o=t.type,null!==e&&(e.alternate=null,t.alternate=null,t.effectTag|=2),e=t.pendingProps,a=At(t,Il.current),en(t,n),a=Cn(null,t,o,e,a,n),t.effectTag|=1,"object"==typeof a&&null!==a&&"function"==typeof a.render&&void 0===a.$$typeof){if(t.tag=1,t.memoizedState=null,t.updateQueue=null,It(o)){var i=!0;Ut(t)}else i=!1;t.memoizedState=null!==a.state&&void 0!==a.state?a.state:null,nn(t);var l=o.getDerivedStateFromProps;"function"==typeof l&&cn(t,o,l,e),a.updater=fu,t.stateNode=a,a._reactInternalFiber=t,hn(t,o,e,n),t=ur(null,t,o,!0,i,n)}else t.tag=0,tr(null,t,a,n),t=t.child;return t;case 16:e:{if(a=t.elementType,null!==e&&(e.alternate=null,t.alternate=null,t.effectTag|=2),e=t.pendingProps,T(a),1!==a._status)throw a._result;switch(a=a._result,t.type=a,i=t.tag=yo(a),e=Yt(a,e),i){case 0:t=ir(null,t,a,e,n);break e;case 1:t=lr(null,t,a,e,n);break e;case 11:t=nr(null,t,a,e,n);break e;case 14:t=rr(null,t,a,Yt(a.type,e),o,n);break e}throw Error(r(306,a,""))}return t;case 0:return o=t.type,a=t.pendingProps,a=t.elementType===o?a:Yt(o,a),ir(e,t,o,a,n);case 1:return o=t.type,a=t.pendingProps,a=t.elementType===o?a:Yt(o,a),lr(e,t,o,a,n);case 3:if(sr(t),o=t.updateQueue,null===e||null===o)throw Error(r(282));if(o=t.pendingProps,a=t.memoizedState,a=null!==a?a.element:null,rn(e,t),un(t,o,null,n),o=t.memoizedState.element,o===a)er(),t=hr(e,t,n);else{if((a=t.stateNode.hydrate)&&(Lu=$e(t.stateNode.containerInfo.firstChild),Ru=t,a=zu=!0),a)for(n=hu(t,null,o,n),t.child=n;n;)n.effectTag=n.effectTag&-3|1024,n=n.sibling;else tr(e,t,o,n),er();t=t.child}return t;case 5:return En(t),null===e&&Gn(t),o=t.type,a=t.pendingProps,i=null!==e?e.memoizedProps:null,l=a.children,We(o,a)?l=null:null!==i&&We(o,i)&&(t.effectTag|=16),ar(e,t),4&t.mode&&1!==n&&a.hidden?(t.expirationTime=t.childExpirationTime=1,t=null):(tr(e,t,l,n),t=t.child),t;case 6:return null===e&&Gn(t),null;case 13:return cr(e,t,n);case 4:return vn(t,t.stateNode.containerInfo),o=t.pendingProps,null===e?t.child=pu(t,null,o,n):tr(e,t,o,n),t.child;case 11:return o=t.type,a=t.pendingProps,a=t.elementType===o?a:Yt(o,a),nr(e,t,o,a,n);case 7:return tr(e,t,t.pendingProps,n),t.child;case 8:return tr(e,t,t.pendingProps.children,n),t.child;case 12:return tr(e,t,t.pendingProps.children,n),t.child;case 10:e:{o=t.type._context,a=t.pendingProps,l=t.memoizedProps,i=a.value;var u=t.type._context;if(Mt(ou,u._currentValue),u._currentValue=i,null!==l)if(u=l.value,i=ul(u,i)?0:0|("function"==typeof o._calculateChangedBits?o._calculateChangedBits(u,i):1073741823),0===i){if(l.children===a.children&&!Fl.current){t=hr(e,t,n);break e}}else for(u=t.child,null!==u&&(u.return=t);null!==u;){var s=u.dependencies;if(null!==s){l=u.child;for(var c=s.firstContext;null!==c;){if(c.context===o&&0!==(c.observedBits&i)){1===u.tag&&(c=on(n,null),c.tag=2,an(u,c)),u.expirationTimeB.length&&B.push(e)}function p(e,t,n,o){var a=typeof e;"undefined"!==a&&"boolean"!==a||(e=null);var i=!1;if(null===e)i=!0;else switch(a){case"string":case"number":i=!0;break;case"object":switch(e.$$typeof){case k:case _:i=!0}}if(i)return n(o,e,""===t?"."+m(e,0):t),1;if(i=0,t=""===t?".":t+":",Array.isArray(e))for(var l=0;l>>1,o=e[r];if(!(void 0!==o&&0a(l,n))void 0!==s&&0>a(s,l)?(e[r]=s,e[u]=n,r=u):(e[r]=l,e[i]=n,r=i);else{if(!(void 0!==s&&0>a(s,n)))break e;e[r]=s,e[u]=n,r=u}}}return t}return null}function a(e,t){var n=e.sortIndex-t.sortIndex;return 0!==n?n:e.id-t.id}function i(e){for(var t=r(z);null!==t;){if(null===t.callback)o(z);else{if(!(t.startTime<=e))break;o(z),t.sortIndex=t.expirationTime,n(L,t)}t=r(z)}}function l(e){if(D=!1,i(e),!j)if(null!==r(L))j=!0,c(u);else{var t=r(z);null!==t&&f(l,t.startTime-e)}}function u(e,n){j=!1,D&&(D=!1,d()),F=!0;var a=I;try{for(i(n),A=r(L);null!==A&&(!(A.expirationTime>n)||e&&!p());){var u=A.callback;if(null!==u){A.callback=null,I=A.priorityLevel;var s=u(A.expirationTime<=n);n=t.unstable_now(),"function"==typeof s?A.callback=s:A===r(L)&&o(L),i(n)}else o(L);A=r(L)}if(null!==A)var c=!0;else{var h=r(z);null!==h&&f(l,h.startTime-n),c=!1}return c}finally{A=null,I=a,F=!1}}function s(e){switch(e){case 1:return-1;case 2:return 250;case 5:return 1073741823;case 4:return 1e4;default:return 5e3}}var c,f,d,p,h;if("undefined"==typeof window||"function"!=typeof MessageChannel){var m=null,b=null,g=function(){if(null!==m)try{var e=t.unstable_now();m(!0,e),m=null}catch(e){throw setTimeout(g,0),e}},y=Date.now();t.unstable_now=function(){return Date.now()-y},c=function(e){null!==m?setTimeout(c,0,e):(m=e,setTimeout(g,0))},f=function(e,t){b=setTimeout(e,t)},d=function(){clearTimeout(b)},p=function(){return!1},h=t.unstable_forceFrameRate=function(){}}else{var v=window.performance,w=window.Date,E=window.setTimeout,k=window.clearTimeout;if("undefined"!=typeof console){var _=window.cancelAnimationFrame;"function"!=typeof window.requestAnimationFrame&&console.error("This browser doesn't support requestAnimationFrame. Make sure that you load a polyfill in older browsers. https://fb.me/react-polyfills"),"function"!=typeof _&&console.error("This browser doesn't support cancelAnimationFrame. Make sure that you load a polyfill in older browsers. https://fb.me/react-polyfills")}if("object"==typeof v&&"function"==typeof v.now)t.unstable_now=function(){return v.now()};else{var x=w.now();t.unstable_now=function(){return w.now()-x}}var S=!1,T=null,C=-1,N=5,P=0;p=function(){return t.unstable_now()>=P},h=function(){},t.unstable_forceFrameRate=function(e){0>e||125i?(e.sortIndex=p,n(z,e),null===r(L)&&e===r(z)&&(D?d():D=!0,f(l,p-i))):(e.sortIndex=a,n(L,e),j||F||(j=!0,c(u))),e},t.unstable_shouldYield=function(){var e=t.unstable_now();i(e);var n=r(L);return n!==A&&null!==A&&null!==n&&null!==n.callback&&n.startTime<=e&&n.expirationTime-1?t:e}function f(e,t){t=t||{};var n=t.body;if(f.prototype.isPrototypeOf(e)){if(e.bodyUsed)throw new TypeError("Already read");this.url=e.url,this.credentials=e.credentials,t.headers||(this.headers=new o(e.headers)),this.method=e.method,this.mode=e.mode,n||(n=e._bodyInit,e.bodyUsed=!0)}else this.url=e;if(this.credentials=t.credentials||this.credentials||"omit",!t.headers&&this.headers||(this.headers=new o(t.headers)),this.method=c(t.method||this.method||"GET"),this.mode=t.mode||this.mode||null,this.referrer=null,("GET"===this.method||"HEAD"===this.method)&&n)throw new TypeError("Body not allowed for GET or HEAD requests");this._initBody(n)}function d(e){var t=new FormData;return e.trim().split("&").forEach(function(e){if(e){var n=e.split("="),r=n.shift().replace(/\+/g," "),o=n.join("=").replace(/\+/g," ");t.append(decodeURIComponent(r),decodeURIComponent(o))}}),t}function p(e){var t=new o,n=(e.getAllResponseHeaders()||"").trim().split("\n");return n.forEach(function(e){var n=e.trim().split(":"),r=n.shift().trim(),o=n.join(":").trim();t.append(r,o)}),t}function h(e,t){t||(t={}),this.type="default",this.status=t.status,this.ok=this.status>=200&&this.status<300,this.statusText=t.statusText,this.headers=t.headers instanceof o?t.headers:new o(t.headers),this.url=t.url||"",this._initBody(e)}if(!e.fetch){var m={searchParams:"URLSearchParams"in e,iterable:"Symbol"in e&&"iterator"in Symbol,blob:"FileReader"in e&&"Blob"in e&&function(){try{return new Blob,!0}catch(e){return!1}}(),formData:"FormData"in e,arrayBuffer:"ArrayBuffer"in e};o.prototype.append=function(e,r){e=t(e),r=n(r);var o=this.map[e];o||(o=[],this.map[e]=o),o.push(r)},o.prototype.delete=function(e){delete this.map[t(e)]},o.prototype.get=function(e){var n=this.map[t(e)];return n?n[0]:null},o.prototype.getAll=function(e){return this.map[t(e)]||[]},o.prototype.has=function(e){return this.map.hasOwnProperty(t(e))},o.prototype.set=function(e,r){this.map[t(e)]=[n(r)]},o.prototype.forEach=function(e,t){Object.getOwnPropertyNames(this.map).forEach(function(n){this.map[n].forEach(function(r){e.call(t,r,n,this)},this)},this)},o.prototype.keys=function(){var e=[];return this.forEach(function(t,n){e.push(n)}),r(e)},o.prototype.values=function(){var e=[];return this.forEach(function(t){e.push(t)}),r(e)},o.prototype.entries=function(){var e=[];return this.forEach(function(t,n){e.push([n,t])}),r(e)},m.iterable&&(o.prototype[Symbol.iterator]=o.prototype.entries);var b=["DELETE","GET","HEAD","OPTIONS","POST","PUT"];f.prototype.clone=function(){return new f(this)},s.call(f.prototype),s.call(h.prototype),h.prototype.clone=function(){return new h(this._bodyInit,{status:this.status,statusText:this.statusText,headers:new o(this.headers),url:this.url})},h.error=function(){var e=new h(null,{status:0,statusText:""});return e.type="error",e};var g=[301,302,303,307,308];h.redirect=function(e,t){if(g.indexOf(t)===-1)throw new RangeError("Invalid status code");return new h(null,{status:t,headers:{location:e}})},e.Headers=o,e.Request=f,e.Response=h,e.fetch=function(e,t){return new Promise(function(n,r){function o(){return"responseURL"in i?i.responseURL:/^X-Request-URL:/m.test(i.getAllResponseHeaders())?i.getResponseHeader("X-Request-URL"):void 0}var a;a=f.prototype.isPrototypeOf(e)&&!t?e:new f(e,t);var i=new XMLHttpRequest;i.onload=function(){var e={status:i.status,statusText:i.statusText,headers:p(i),url:o()},t="response"in i?i.response:i.responseText;n(new h(t,e))},i.onerror=function(){r(new TypeError("Network request failed"))},i.ontimeout=function(){r(new TypeError("Network request failed")); },i.open(a.method,a.url,!0),"include"===a.credentials&&(i.withCredentials=!0),"responseType"in i&&m.blob&&(i.responseType="blob"),a.headers.forEach(function(e,t){i.setRequestHeader(t,e)}),i.send("undefined"==typeof a._bodyInit?null:a._bodyInit)})},e.fetch.polyfill=!0}}("undefined"!=typeof self?self:this)}]));