diff --git a/parts/gameTables.lua b/parts/gameTables.lua
index cee2bc225..159b9a9c5 100644
--- a/parts/gameTables.lua
+++ b/parts/gameTables.lua
@@ -476,7 +476,7 @@ do-- Mod data
         },
         {no=19,id="CS",name="customSeq",
             key="b",x=680,y=470,color='lB',
-            list={'bag','bagES','his','hisPool','c2','rnd','mess','reverb'},
+            list={'bag','bagES','his','hisPool','c2','rnd','mess','reverb','bagP1inf'},
             func=function(P,O) P.gameEnv.sequence=O end,
             unranked=true,
         },
diff --git a/parts/player/draw.lua b/parts/player/draw.lua
index 510331454..37a6f5c35 100644
--- a/parts/player/draw.lua
+++ b/parts/player/draw.lua
@@ -91,6 +91,10 @@ local seqGenBanner=setmetatable({
     fixed=GC.DO{100,10,
         {'fRect',40,4,20,2},
     },
+    --TODO: add new banner for bagP1inf
+    bagP1inf=GC.DO{100,10,
+        {'fRect',40,4,20,2},
+    },
 },{__index=function(self,k)
     self[k]=self.none
     return self.none
diff --git a/parts/player/seqGenerators.lua b/parts/player/seqGenerators.lua
index 0de68d8fd..c6a8832f4 100644
--- a/parts/player/seqGenerators.lua
+++ b/parts/player/seqGenerators.lua
@@ -269,6 +269,83 @@ local seqGenerators={
             yield()
         end
     end,
+    bagP1inf=function(P,seq0)
+        local rndGen=P.seqRND
+        local len=#seq0
+        local function new()
+            local res={}
+            local higher=nil
+            local higher_dist={}
+            for i=1,len do
+                higher_dist[i]=1
+            end
+            local remaining=len+1
+            local unknown={}
+            local extra=-1
+            local function init()
+                for i=1,len do
+                    unknown[i]=1
+                end
+                remaining=len+1
+                extra=-1
+            end
+            init()
+            function res.next_dist()
+                if extra>=0 then
+                    return remaining,unknown
+                end
+                local temp={}
+                local temp_sum=0
+                for i=1,len do
+                    local item=higher_dist[i]*(2-unknown[i])
+                    temp[i]=item
+                    temp_sum=temp_sum+item
+                end
+                local sum=0
+                for i=1,len do
+                    temp[i]=temp[i]+temp_sum*unknown[i]
+                    sum=sum+temp[i]
+                end
+                return sum,temp
+            end
+            function res.update(i)
+                if unknown[i]==0 then
+                    assert(extra<0,"extra should be -1")
+                    extra=i
+                else
+                    unknown[i]=0
+                end
+                remaining=remaining-1
+                if remaining>0 then
+                    return
+                end
+                if higher==nil then
+                    higher=new()
+                end
+                higher.update(extra)
+                local _
+                _,higher_dist=higher.next_dist()
+                init()
+            end
+            return res
+        end
+        local dist=new()
+        while true do
+            while #P.nextQueue<10 do
+                local sum,mydist=dist.next_dist()
+                local r=rndGen:random(sum)
+                for i=1,len do
+                    r=r-mydist[i]
+                    if r<=0 then
+                        P:getNext(seq0[i])
+                        dist.update(i)
+                        break
+                    end
+                end
+            end
+            yield()
+        end
+    end,
 }
 return function(P)-- Return a piece-generating function for player P
     local s=P.gameEnv.sequence
diff --git a/parts/scenes/custom_sequence.lua b/parts/scenes/custom_sequence.lua
index b9e316150..63ca39c6f 100644
--- a/parts/scenes/custom_sequence.lua
+++ b/parts/scenes/custom_sequence.lua
@@ -174,7 +174,7 @@ scene.widgetList={
     WIDGET.newText{name='subTitle',x=530,y=50,lim=170,font=35,align='L',color='H'},
 
     WIDGET.newSelector{name='sequence',x=1080,y=60,w=200,color='Y',
-        list={'bag','bagES','his','hisPool','c2','rnd','mess','reverb','loop','fixed'},
+        list={'bag','bagES','his','hisPool','c2','rnd','mess','reverb','loop','fixed','bagP1inf'},
         disp=CUSval('sequence'),code=CUSsto('sequence')
     },