NewEduCoderBuild/p__Problemset__Preview__index.efb9591b.async.js

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\\end{array} `},{value:`\\begin{array}{l} \r
  a\\mathop{{x}}\\nolimits^{{2}}+bx+c=0 \\ \r
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  \\mathop{{x}}\\nolimits_{{1}}+\\mathop{{x}}\\nolimits_{{2}}=-\\frac{{b}}{{a}} \\ \r
  \\mathop{{x}}\\nolimits_{{1}}\\mathop{{x}}\\nolimits_{{2}}=\\frac{{c}}{{a}} \r
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  \\text{\u76F4\u89D2\u4E09\u89D2\u5F62\u4E2D,\u76F4\u89D2\u8FB9\u957Fa,b,\u659C\u8FB9\u8FB9\u957Fc} \\ \r
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  a,b \\in R^{+} \\  \r
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  a,b \\in R \\  \r
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  H_{n}=\\frac{n}{\\sum \\limits_{i=1}^{n}\\frac{1}{x_{i}}}= \\frac{n}{\\frac{1}{x_{1}}+ \\frac{1}{x_{2}}+ \\cdots + \\frac{1}{x_{n}}} \\ G_{n}=\\sqrt[n]{\\prod \\limits_{i=1}^{n}x_{i}}= \\sqrt[n]{x_{1}x_{2}\\cdots x_{n}} \\ A_{n}=\\frac{1}{n}\\sum \\limits_{i=1}^{n}x_{i}=\\frac{x_{1}+ x_{2}+ \\cdots + x_{n}}{n} \\ Q_{n}=\\sqrt{\\sum \\limits_{i=1}^{n}x_{i}^{2}}= \\sqrt{\\frac{x_{1}^{2}+ x_{2}^{2}+ \\cdots + x_{n}^{2}}{n}} \\ H_{n}\\leq G_{n}\\leq A_{n}\\leq Q_{n} \r
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  \\text{\u5219}P \\left( A \\left| B\\right. \\right) =P \\left({B}\\right) \r
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  P \\left( S \\right) =1 \r
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a=cr({page:t.subject.page,axis:t.axis,frame:null,withPlaceholder:null});return(0,V.Z)({},t,{subject:a})}var o=r.oldFrameMaxScroll;o||B(!1);var i=ha(n,o),l=cr({page:t.subject.page,axis:t.axis,frame:i,withPlaceholder:null});return(0,V.Z)({},t,{subject:l,frame:i})},di=function(e){var t=e.previousPageBorderBoxCenter,r=e.moveRelativeTo,n=e.insideDestination,a=e.draggable,o=e.draggables,i=e.destination,l=e.viewport,s=e.afterCritical;if(!r){if(n.length)return null;var m={displaced:yr,displacedBy:ia,at:{type:"REORDER",destination:{droppableId:i.descriptor.id,index:0}}},p=Wr({impact:m,draggable:a,droppable:i,draggables:o,afterCritical:s}),u=pr(a,i)?i:ya(i,a,o),d=ga({draggable:a,destination:u,newPageBorderBoxCenter:p,viewport:l.frame,withDroppableDisplacement:!1,onlyOnMainAxis:!0});return d?m:null}var v=t[i.axis.line]<=r.page.borderBox.center[i.axis.line],C=function(){var Y=r.descriptor.index;return r.descriptor.id===a.descriptor.id||v?Y:Y+1}(),W=Cr(i.axis,a.displaceBy);return zr({draggable:a,insideDestination:n,destination:i,viewport:l,displacedBy:W,last:yr,index:C})},pi=function(e){var t=e.isMovingForward,r=e.previousPageBorderBoxCenter,n=e.draggable,a=e.isOver,o=e.draggables,i=e.droppables,l=e.viewport,s=e.afterCritical,m=ii({isMovingForward:t,pageBorderBoxCenter:r,source:a,droppables:i,viewport:l});if(!m)return null;var p=dr(m.descriptor.id,o),u=si({pageBorderBoxCenter:r,viewport:l,destination:m,insideDestination:p,afterCritical:s}),d=di({previousPageBorderBoxCenter:r,destination:m,draggable:n,draggables:o,moveRelativeTo:u,insideDestination:p,viewport:l,afterCritical:s});if(!d)return null;var v=Wr({impact:d,draggable:n,droppable:m,draggables:o,afterCritical:s}),C=hn({pageBorderBoxCenter:v,draggable:n,viewport:l});return{clientSelection:C,impact:d,scrollJumpRequest:null}},Ot=function(e){var t=e.at;return t?t.type==="REORDER"?t.destination.droppableId:t.combine.droppableId:null},mi=function(t,r){var n=Ot(t);return n?r[n]:null},fi=function(e){var t=e.state,r=e.type,n=mi(t.impact,t.dimensions.droppables),a=!!n,o=t.dimensions.droppables[t.critical.droppable.id],i=n||o,l=i.axis.direction,s=l==="vertical"&&(r==="MOVE_UP"||r==="MOVE_DOWN")||l==="horizontal"&&(r==="MOVE_LEFT"||r==="MOVE_RIGHT");if(s&&!a)return null;var m=r==="MOVE_DOWN"||r==="MOVE_RIGHT",p=t.dimensions.draggables[t.critical.draggable.id],u=t.current.page.borderBoxCenter,d=t.dimensions,v=d.draggables,C=d.droppables;return s?oi({isMovingForward:m,previousPageBorderBoxCenter:u,draggable:p,destination:i,draggables:v,viewport:t.viewport,previousClientSelection:t.current.client.selection,previousImpact:t.impact,afterCritical:t.afterCritical}):pi({isMovingForward:m,previousPageBorderBoxCenter:u,draggable:p,isOver:i,draggables:v,droppables:C,viewport:t.viewport,afterCritical:t.afterCritical})};function ar(e){return e.phase==="DRAGGING"||e.phase==="COLLECTING"}function xa(e){var t=Ft(e.top,e.bottom),r=Ft(e.left,e.right);return function(a){return t(a.y)&&r(a.x)}}function vi(e,t){return e.left<t.right&&e.right>t.left&&e.top<t.bottom&&e.bottom>t.top}function gi(e){var t=e.pageBorderBox,r=e.draggable,n=e.candidates,a=r.page.borderBox.center,o=n.map(function(i){var l=i.axis,s=st(i.axis.line,t.center[l.line],i.page.borderBox.center[l.crossAxisLine]);return{id:i.descriptor.id,distance:vt(a,s)}}).sort(function(i,l){return l.distance-i.distance});return o[0]?o[0].id:null}function bi(e){var t=e.pageBorderBox,r=e.draggable,n=e.droppables,a=$r(n).filter(function(o){if(!o.isEnabled)return!1;var i=o.subject.active;if(!i||!vi(t,i))return!1;if(xa(i)(t.center))return!0;var l=o.axis,s=i.center[l.crossAxisLine],m=t[l.crossAxisStart],p=t[l.crossAxisEnd],u=Ft(i[l.crossAxisStart],i[l.crossAxisEnd]),d=u(m),v=u(p);return!d&&!v?!0:d?m<s:p>s});return a.length?a.length===1?a[0].descriptor.id:gi({pageBorderBox:t,draggable:r,candidates:a}):null}var Ca=function(t,r){return rt(hr(t,r))},hi=function(e,t){var r=e.frame;return r?Ca(t,r.scroll.diff.value):t};function wa(e){var t=e.displaced,r=e.id;return!!(t.visible[r]||t.invisible[r])}function yi(e){var t=e.draggable,r=e.closest,n=e.inHomeList;return r?n&&r.descriptor.index>t.descriptor.index?r.descriptor.index-1:r.descriptor.index:null}var xi=function(e){var t=e.pageBorderBoxWithDroppableScroll,r=e.draggable,n=e.destination,a=e.insideDestination,o=e.last,i=e.viewport,l=e.afterCritical,s=n.axis,m=Cr(n.axis,r.displaceBy),p=m.value,u=t[s.start],d=t[s.end],v=jr(r,a),C=Kt(v,function(Y){var q=Y.descriptor.id,de=Y.page.borderBox.center[s.line],ve=Yt(q,l),ye=wa({displaced:o,id:q});return ve?ye?d<=de:u<de-p:ye?d<=de+p:u<de}),W=yi({draggable:r,closest:C,inHomeList:pr(r,n)});return zr({draggable:r,insideDestination:a,destination:n,viewport:i,last:o,displacedBy:m,index:W})},Ci=4,wi=function(e){var t=e.draggable,r=e.pageBorderBoxWithDroppableScroll,n=e.previousImpact,a=e.destination,o=e.insideDestination,i=e.afterCritical;if(!a.isCombineEnabled)return null;var l=a.axis,s=Cr(a.axis,t.displaceBy),m=s.value,p=r[l.start],u=r[l.end],d=jr(t,o),v=Kt(d,function(W){var Y=W.descriptor.id,q=W.page.borderBox,de=q[l.size],ve=de/Ci,ye=Yt(Y,i),Fe=wa({displaced:n.displaced,id:Y});return ye?Fe?u>q[l.start]+ve&&u<q[l.end]-ve:p>q[l.start]-m+ve&&p<q[l.end]-m-ve:Fe?u>q[l.start]+m+ve&&u<q[l.end]+m-ve:p>q[l.start]+ve&&p<q[l.end]-ve});if(!v)return null;var C={displacedBy:s,displaced:n.displaced,at:{type:"COMBINE",combine:{draggableId:v.descriptor.id,droppableId:a.descriptor.id}}};return C},Ea=function(e){var t=e.pageOffset,r=e.draggable,n=e.draggables,a=e.droppables,o=e.previousImpact,i=e.viewport,l=e.afterCritical,s=Ca(r.page.borderBox,t),m=bi({pageBorderBox:s,draggable:r,droppables:a});if(!m)return ko;var p=a[m],u=dr(p.descriptor.id,n),d=hi(p,s);return wi({pageBorderBoxWithDroppableScroll:d,draggable:r,previousImpact:o,destination:p,insideDestination:u,afterCritical:l})||xi({pageBorderBoxWithDroppableScroll:d,draggable:r,destination:p,insideDestination:u,last:o.displaced,viewport:i,afterCritical:l})},yn=function(e,t){var r;return(0,V.Z)({},e,(r={},r[t.descriptor.id]=t,r))},Ei=function(t){var r=t.previousImpact,n=t.impact,a=t.droppables,o=Ot(r),i=Ot(n);if(!o||o===i)return a;var l=a[o];if(!l.subject.withPlaceholder)return a;var s=ci(l);return yn(a,s)},Di=function(e){var t=e.draggable,r=e.draggables,n=e.droppables,a=e.previousImpact,o=e.impact,i=Ei({previousImpact:a,impact:o,droppables:n}),l=Ot(o);if(!l)return i;var s=n[l];if(pr(t,s)||s.subject.withPlaceholder)return i;var m=ya(s,t,r);return yn(i,m)},wr=function(e){var t=e.state,r=e.clientSelection,n=e.dimensions,a=e.viewport,o=e.impact,i=e.scrollJumpRequest,l=a||t.viewport,s=n||t.dimensions,m=r||t.current.client.selection,p=je(m,t.initial.client.selection),u={offset:p,selection:m,borderBoxCenter:Le(t.initial.client.borderBoxCenter,p)},d={selection:Le(u.selection,l.scroll.current),borderBoxCenter:Le(u.borderBoxCenter,l.scroll.current),offset:Le(u.offset,l.scroll.diff.value)},v={client:u,page:d};if(t.phase==="COLLECTING")return(0,V.Z)({phase:"COLLECTING"},t,{dimensions:s,viewport:l,current:v});var C=s.draggables[t.critical.draggable.id],W=o||Ea({pageOffset:d.offset,draggable:C,draggables:s.draggables,droppables:s.droppables,previousImpact:t.impact,viewport:l,afterCritical:t.afterCritical}),Y=Di({draggable:C,impact:W,previousImpact:t.impact,draggables:s.draggables,droppables:s.droppables}),q=(0,V.Z)({},t,{current:v,dimensions:{draggables:s.draggables,droppables:Y},impact:W,viewport:l,scrollJumpRequest:i||null,forceShouldAnimate:i?!1:null});return q};function Si(e,t){return e.map(function(r){return t[r]})}var Da=function(e){var t=e.impact,r=e.viewport,n=e.draggables,a=e.destination,o=e.forceShouldAnimate,i=t.displaced,l=Si(i.all,n),s=xr({afterDragging:l,destination:a,displacedBy:t.displacedBy,viewport:r.frame,forceShouldAnimate:o,last:i});return(0,V.Z)({},t,{displaced:s})},Sa=function(e){var t=e.impact,r=e.draggable,n=e.droppable,a=e.draggables,o=e.viewport,i=e.afterCritical,l=Wr({impact:t,draggable:r,draggables:a,droppable:n,afterCritical:i});return hn({pageBorderBoxCenter:l,draggable:r,viewport:o})},Ia=function(e){var t=e.state,r=e.dimensions,n=e.viewport;t.movementMode!=="SNAP"&&B(!1);var a=t.impact,o=n||t.viewport,i=r||t.dimensions,l=i.draggables,s=i.droppables,m=l[t.critical.draggable.id],p=Ot(a);p||B(!1);var u=s[p],d=Da({impact:a,viewport:o,destination:u,draggables:l}),v=Sa({impact:d,draggable:m,droppable:u,draggables:l,viewport:o,afterCritical:t.afterCritical});return wr({impact:d,clientSelection:v,state:t,dimensions:i,viewport:o})},Ii=function(e){return{index:e.index,droppableId:e.droppableId}},Pa=function(e){var t=e.draggable,r=e.home,n=e.draggables,a=e.viewport,o=Cr(r.axis,t.displaceBy),i=dr(r.descriptor.id,n),l=i.indexOf(t);l===-1&&B(!1);var s=i.slice(l+1),m=s.reduce(function(v,C){return v[C.descriptor.id]=!0,v},{}),p={inVirtualList:r.descriptor.mode==="virtual",displacedBy:o,effected:m},u=xr({afterDragging:s,destination:r,displacedBy:o,last:null,viewport:a.frame,forceShouldAnimate:!1}),d={displaced:u,displacedBy:o,at:{type:"REORDER",destination:Ii(t.descriptor)}};return{impact:d,afterCritical:p}},Pi=function(e,t){return{draggables:e.draggables,droppables:yn(e.droppables,t)}},Er=function(t){},Dr=function(t){},Bi=function(e){var t=e.draggable,r=e.offset,n=e.initialWindowScroll,a=ke(t.client,r),o=Ct(a,n),i=(0,V.Z)({},t,{placeholder:(0,V.Z)({},t.placeholder,{client:a}),client:a,page:o});return i},Ai=function(e){var t=e.frame;return t||B(!1),t},Oi=function(e){var t=e.additions,r=e.updatedDroppables,n=e.viewport,a=n.scroll.diff.value;return t.map(function(o){var i=o.descriptor.droppableId,l=r[i],s=Ai(l),m=s.scroll.diff.value,p=Le(a,m),u=Bi({draggable:o,offset:p,initialWindowScroll:n.scroll.initial});return u})},Ri=function(e){var t=e.state,r=e.published;Er();var n=r.modified.map(function(ve){var ye=t.dimensions.droppables[ve.droppableId],Fe=dn(ye,ve.scroll);return Fe}),a=(0,V.Z)({},t.dimensions.droppables,{},aa(n)),o=oa(Oi({additions:r.additions,updatedDroppables:a,viewport:t.viewport})),i=(0,V.Z)({},t.dimensions.draggables,{},o);r.removals.forEach(function(ve){delete i[ve]});var l={droppables:a,draggables:i},s=Ot(t.impact),m=s?l.droppables[s]:null,p=l.draggables[t.critical.draggable.id],u=l.droppables[t.critical.droppable.id],d=Pa({draggable:p,home:u,draggables:i,viewport:t.viewport}),v=d.impact,C=d.afterCritical,W=m&&m.isCombineEnabled?t.impact:v,Y=Ea({pageOffset:t.current.page.offset,draggable:l.draggables[t.critical.draggable.id],draggables:l.draggables,droppables:l.droppables,previousImpact:W,viewport:t.viewport,afterCritical:C});Dr();var q=(0,V.Z)({phase:"DRAGGING"},t,{phase:"DRAGGING",impact:Y,onLiftImpact:v,dimensions:l,afterCritical:C,forceShouldAnimate:!1});if(t.phase==="COLLECTING")return q;var de=(0,V.Z)({phase:"DROP_PENDING"},q,{phase:"DROP_PENDING",reason:t.reason,isWaiting:!1});return de},xn=function(t){return t.movementMode==="SNAP"},Cn=function(t,r,n){var a=Pi(t.dimensions,r);return!xn(t)||n?wr({state:t,dimensions:a}):Ia({state:t,dimensions:a})};function wn(e){return e.isDragging&&e.movementMode==="SNAP"?(0,V.Z)({phase:"DRAGGING"},e,{scrollJumpRequest:null}):e}var Ba={phase:"IDLE",completed:null,shouldFlush:!1},Ni=function(e,t){if(e===void 0&&(e=Ba),t.type==="FLUSH")return(0,V.Z)({},Ba,{shouldFlush:!0});if(t.type==="INITIAL_PUBLISH"){e.phase!=="IDLE"&&B(!1);var r=t.payload,n=r.critical,a=r.clientSelection,o=r.viewport,i=r.dimensions,l=r.movementMode,s=i.draggables[n.draggable.id],m=i.droppables[n.droppable.id],p={selection:a,borderBoxCenter:s.client.borderBox.center,offset:lt},u={client:p,page:{selection:Le(p.selection,o.scroll.initial),borderBoxCenter:Le(p.selection,o.scroll.initial),offset:Le(p.selection,o.scroll.diff.value)}},d=$r(i.droppables).every(function(Qr){return!Qr.isFixedOnPage}),v=Pa({draggable:s,home:m,draggables:i.draggables,viewport:o}),C=v.impact,W=v.afterCritical,Y={phase:"DRAGGING",isDragging:!0,critical:n,movementMode:l,dimensions:i,initial:u,current:u,isWindowScrollAllowed:d,impact:C,afterCritical:W,onLiftImpact:C,viewport:o,scrollJumpRequest:null,forceShouldAnimate:null};return Y}if(t.type==="COLLECTION_STARTING"){if(e.phase==="COLLECTING"||e.phase==="DROP_PENDING")return e;e.phase!=="DRAGGING"&&B(!1);var q=(0,V.Z)({phase:"COLLECTING"},e,{phase:"COLLECTING"});return q}if(t.type==="PUBLISH_WHILE_DRAGGING")return e.phase==="COLLECTING"||e.phase==="DROP_PENDING"||B(!1),Ri({state:e,published:t.payload});if(t.type==="MOVE"){if(e.phase==="DROP_PENDING")return e;ar(e)||B(!1);var de=t.payload.client;return Ye(de,e.current.client.selection)?e:wr({state:e,clientSelection:de,impact:xn(e)?e.impact:null})}if(t.type==="UPDATE_DROPPABLE_SCROLL"){if(e.phase==="DROP_PENDING"||e.phase==="COLLECTING")return wn(e);ar(e)||B(!1);var ve=t.payload,ye=ve.id,Fe=ve.newScroll,Re=e.dimensions.droppables[ye];if(!Re)return e;var ze=dn(Re,Fe);return Cn(e,ze,!1)}if(t.type==="UPDATE_DROPPABLE_IS_ENABLED"){if(e.phase==="DROP_PENDING")return e;ar(e)||B(!1);var ot=t.payload,Ze=ot.id,it=ot.isEnabled,dt=e.dimensions.droppables[Ze];dt||B(!1),dt.isEnabled===it&&B(!1);var gt=(0,V.Z)({},dt,{isEnabled:it});return Cn(e,gt,!0)}if(t.type==="UPDATE_DROPPABLE_IS_COMBINE_ENABLED"){if(e.phase==="DROP_PENDING")return e;ar(e)||B(!1);var Ht=t.payload,Lt=Ht.id,Nt=Ht.isCombineEnabled,jt=e.dimensions.droppables[Lt];jt||B(!1),jt.isCombineEnabled===Nt&&B(!1);var bt=(0,V.Z)({},jt,{isCombineEnabled:Nt});return Cn(e,bt,!0)}if(t.type==="MOVE_BY_WINDOW_SCROLL"){if(e.phase==="DROP_PENDING"||e.phase==="DROP_ANIMATING")return e;ar(e)||B(!1),e.isWindowScrollAllowed||B(!1);var Xt=t.payload.newScroll;if(Ye(e.viewport.scroll.current,Xt))return wn(e);var zt=fa(e.viewport,Xt);return xn(e)?Ia({state:e,viewport:zt}):wr({state:e,viewport:zt})}if(t.type==="UPDATE_VIEWPORT_MAX_SCROLL"){if(!ar(e))return e;var Tr=t.payload.maxScroll;if(Ye(Tr,e.viewport.scroll.max))return e;var ir=(0,V.Z)({},e.viewport,{scroll:(0,V.Z)({},e.viewport.scroll,{max:Tr})});return(0,V.Z)({phase:"DRAGGING"},e,{viewport:ir})}if(t.type==="MOVE_UP"||t.type==="MOVE_DOWN"||t.type==="MOVE_LEFT"||t.type==="MOVE_RIGHT"){if(e.phase==="COLLECTING"||e.phase==="DROP_PENDING")return e;e.phase!=="DRAGGING"&&B(!1);var qt=fi({state:e,type:t.type});return 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e},Ti=function(t){return{type:"BEFORE_INITIAL_CAPTURE",payload:t}},Mi=function(t){return{type:"LIFT",payload:t}},Fi=function(t){return{type:"INITIAL_PUBLISH",payload:t}},ki=function(t){return{type:"PUBLISH_WHILE_DRAGGING",payload:t}},Li=function(){return{type:"COLLECTION_STARTING",payload:null}},$i=function(t){return{type:"UPDATE_DROPPABLE_SCROLL",payload:t}},Hi=function(t){return{type:"UPDATE_DROPPABLE_IS_ENABLED",payload:t}},ji=function(t){return{type:"UPDATE_DROPPABLE_IS_COMBINE_ENABLED",payload:t}},Aa=function(t){return{type:"MOVE",payload:t}},zi=function(t){return{type:"MOVE_BY_WINDOW_SCROLL",payload:t}},Wi=function(t){return{type:"UPDATE_VIEWPORT_MAX_SCROLL",payload:t}},_i=function(){return{type:"MOVE_UP",payload:null}},Zi=function(){return{type:"MOVE_DOWN",payload:null}},Gi=function(){return{type:"MOVE_RIGHT",payload:null}},Ui=function(){return{type:"MOVE_LEFT",payload:null}},En=function(){return{type:"FLUSH",payload:null}},Vi=function(t){return{type:"DROP_ANIMATE",payload:t}},Dn=function(t){return{type:"DROP_COMPLETE",payload:t}},Oa=function(t){return{type:"DROP",payload:t}},Ki=function(t){return{type:"DROP_PENDING",payload:t}},Ra=function(){return{type:"DROP_ANIMATION_FINISHED",payload:null}};function 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"}}]);