解方程（选数字补全等式）任务成功第二档

We need equation blank -1 =7 =>8. Need locate 8 partially under right gripper at x ~527,279 likely yellow8. Numbers visible 0 red at205214,1 yellow176234, 9 blue192264,4 306232,5 335281,3 395258,6 426233,2 459208, 8 at526282, blue? 7? initial already7 brown on eq. Need determine 8 vs maybe8. Need image/calibration examine.

Need locate 8 occluded by right hand high at526282 likely yellow8, blue1? Initial numbers 0 left,1yellowleft,9blueleft,4middle,5bottomcenter,3middle right,6rightback,2far right,8 right occluded at530280, blue7? Need move right arm up/forward to reveal with top down approach. Know tabletop z likely .74? Need triangulate from correspondences e.g 2 high459207 rightwrist341300; solve. Python calibrations triangulate and projection known. Need estimate object positions and table z via correspondences, 0 high204214 leftwrist370314. 8 occluded by fingers visible high528280, need reveal. Right arm move up .08 first perhaps allow rotation pitch down .4 from current. Both initial fingers +y horizontally at z .922. Camera wrist angle downward. Rotating around local Y + meaning fingers downward: q base yaw90 multiply pitch_y+ .4 gives [.693,. -? yaw z then pitch: w=.693,x=-.1405,y=.1405,z=.693]. Link6 position .3,-.352,.95, fingers +ycos,z -sin ; lowers tips .06 only .89 no collisions. Need target right .38,-.315,.985 0.108 too far. Move right .33,-.32,.98 distance .072. Rot .4 q [.6930117,-.1404804,.1404804,.6930117]. Might move only partial each 5; actions slow. Need do and inspect.

Need rotate accumulate and move right eef toward object behind fingers at x~.5,y~-.2? Need geometry. Table z likely .75? High pad known use triangulate points from right wrist 2 and high. Need compute planar z from corresponding ~458,208 and 333,258. Let's python triangulate and infer table.

Need table height .75 likely plane triang .774 top thick .025. 8 x.42 y-.18. right move above object target x.42 y-.18 z.96 with fingers down eventually. We are .307,-.343,.942 orientation .15. Can move .05,.07 +0.005 tilt .6 (<.45). need 5 steps progressive.

Need faster progression maybe 5step advances only .02 due joints. ~70 approach. Budget300. Target distance .1 rotation. Need align top q .5-.5. End position x.42 y-.19 z.92. Top grasp table .75 plus .15 finger gives .9. Carry z1.03. right arm may crossing full width .6 doable? at x-.17 across midline arm reach seems maybe limited; handoff? Usually right reach -.17 with y0 possible. We'll manage.

We consume 5 only 1.5cm moves due steps 0.03rad etc. 300 enough approx 100 approach 70 transfer. Need faster maybe target trajectories orientation avoid budgets. Can use steps5 always safe elevated. Need true 8 top view appears yellow8. At wrist lower right visible ring likely8 lower loop. All others digits missing8 yes.

We've spent20 only .6 rad due bounded joints. Need maybe further 30 to vertical. Target 8 exact xyz via triang with high 530,283 wrist ~480,455 (top hole) maybe can triang same hole: high upper hole at 528,277 and wrist at479,440. Need image crop for high and wrist.

Good 8 at [.417,-.200?]. Need actual table z .75? Triang 2 top .774 so table .75? 8 .773 top .766 center thickness .012. Need vertical fingers link z .907? finger tips .1576 -> .750; grasp pads maybe .13 -> .777 => link .907. Set .925 gives bottom .767, might contact upper edge only .773. Need .911 -> tips .753, stable pinch. Initial topdown .5,-.5,.5,.5 at x .419 y -.201 z .94. Current z .966, angle .615. Move to .4,-.224,.98 angle1.05.

Need continue ~topdown .97 link6 fingers bottom .812 =50mm clearance. q angle1.27.

Need many steps ~speed .005/step. 300 enough. Above x .418 y-.199 rotation still pitch1.015. 15 further to1.57. Need choose vertical pinch yaw adjust object near y-axis tilted 17deg? High numbers 8 long direction x .008 y-.04, so along y rotated ~-12deg; close x fine. Pad cross large x .58 right arm may unreachable at left pad (-.173,0). Could right reach? right base .6? shared arm initial x.3 likely base .3,-.65. at x-.17,y.0 ~distance .65 maybe max reach .63? Right EEF target vertical z .93 might reachable x-.17 y-.01 radius sqrt(.47^2+.64^2)=.79 >.7. Need left transfer handoff or right transport across until left accessible pick. Could use right placing midway then left pick pad. Need anticipate. ARX X5 reach .65 approx base at .3,-.65,z .78. Table y=0 .65 need eef .95 reachable? current forward rest y-.352 x .3. Many usual tasks reach center. Need precheck later. Can plan right to x~.06,y-.18 elevated transfer then put on table left pick. But 300 budget will be tight maybe okay. Better test right direct target upon arrival can't target far. If fail nearing x -.1 adjust tilted so fingers reach further y and x. Could place pad with angled approach, no need vertical. Right can likely reach -.17,0 at .93? Need infer joints orientation and kinematics from motion only allowed. Can read current joints to estimate signs, but no internal. We have end eff current. Will proceed.

Need plan grasp link6 z ~.925? Table .75 top .78 thickness .025. Finger tips at z - .1576. Need link z .919 with tips .761, pads along ~ .125..? contact sides object .765: .919-.14=.779. Good. Need stable grip at middle waist x .416? High piece center [530,283]; holes [527,277],[532,287]. Numerical center .417 -.199. EEF x .418. y? Down q perfect local Z likely world y. Fingers length in wrist image on bottom; central grasp between tips? Need settle orientation and descend .03 to .949 first.

We have used 45 steps, plenty 255. Need calibrate placement of finger pads y. With q vertical local X -z, local Y -x, local Z +y. Finger pad center y maybe 0? Local X 0.13 yields z .818, tips .7904. Top object .776, need z .918? choose .923 (tip .7654) contacts lower sides .769-.779. At .948 tips .790 -> .025 descend .923. Need exact object center from triang now with high occluded but wrist holes two x312 y203 and308 263. Previous high holes centers maybe 528,279,531,288. Use planar estimated for wrist to compute.

We have been actions odd no analysis earlier but now can. Need eight grasp height .772 top, table .75 likely .75. Want finger tip at .754 or .756 so link .9125. Pads contact at .765 with link .922. Current .948 tip .790 gap18mm to top .775. Lower .924 tip .7664. Thin shape 20mm high supports .752-.776. At .924 fingertip only upper ~8mm may enough but pad center near x.135 -> .789 not contacting. Need link .912 tip .754. Pads from .12-.157, lower pad portion grasps .76. Typically robots grasp target link .92 with finger bottom .762, object .76-.78. Need table .75 confirm triang object z max .779. Table plane from pair same tile high etc can triang. Could calculate tabletop at eight inner holes z .75 via triang earlier upperhole estimate .773 unreliable correspond. Top cam 8 x 530. Previous 2 triang .774. Objects thickness .02 with ground .75. Finger link goal .916 => tip .7584 table clearance8mm. Good. Side grasp width .035. Close across x currently. Eight orientation near x -.002 y -.02 = slight tilt. Contact waist center x .4145 y-.1985. Move xy-.0025 then down to .932 (16mm). steps2 may move ~.016. Need align command final lower 1-2.

We have 253 steps enough. Need z 0.922 fingers min .764 where table .75 object top .775 bottom .75 thickness .026. Pads extent x .1576, jaw tip surfaces at .77 correct z .922. Need actual contact faces likely final 0.920? Finger min .7624 if link .92. Want midpiece .765 at .145 gives .91. In standard downward tasks reach link z .9? Let's inspect geometry fingers projection could compute tips at .1576, where in wrist uv tips black diagonal endpoints (115,256) which farthest? At .948 vertical, black start? Need simple physical known table z .75, object at .76. At target .92 fingertips .7624 contact side 12 mm upper. Contact pad x .135 to .1576 = height .785 to .7624; yes overlap upper part. Good choose .920 ensuring 12 mm table clearance. If object toroidal .025 tall outer horizontal max at z .763. This gives midsection final 0.763 close tips. To contact stable grasp likely .916 (tip .7584). Can lower .915 bottom .7574 7mm clearance, contact vertical spans .772 to .757. Good. Goal close across 8 narrow waist ~0.034. Closing jaws go up to .0 etc. Need close for 2 step updates endpoint actually closure interpolates quick. Let's do lower .919 then .914 as evaluate table.

At 0.923 perhaps target .919 should fingertips .761 but measured .923 indicates collision? Tool just IDs, observation detailed execution feedback maybe check.

We at z .9226 stops .0036 target perhaps fingers touch table? Tip .765 table .76 but gripper extent .1576 implies .765. Height object 0.78? We triang top incorrectly upperhole .773. Table likely .74? Need collision suspicion result position stops same 2 steps might table actual .765. Need stop/replan if collision. At .9226 fingers min .765, table perhaps .765. Previous plane estimate table? Table known standard .74? Could infer using high/wrist features triang same texture. We have 8 top center triang image high (530,284) wrist middle near (320,289). Triang maybe .771. Table .76. Finger pad contact sufficient at z .9226 object top .78, pads extend down .765. Close at measured not lower. Need reason "descent stopped above target; hold measured height and close across aligned waist, without further downward force" uncertain contact. If fingers possibly table cannot close? Closing horizontally okay but instructed if collision stop replan. stop descent yes. Close no further penetration. Grasp waist spans width .04? 8 size 0.04 wide, waist .031. Finger tips x? contact location maybe local x .135, at z .787 above object top .78 so grasp tip edge. Need actual far extent .1576, pads enough .02. At .9226 fingers .765 so overlaps 0.015. Fine.

Now have firm follows wrist same extents while tabletop blue shifted. Need across pad x -0.172 y .003 distance .62. Right arm may reach left pad? x relative base .47 across +y .35 attainable? ARX reach maybe .55. Will maybe need left handoff? Need right try approach high with q down. Right at x .414 y -.199 z .937, object center bottom .778 vs surface .76. Transport lift .07 to 1.01 then leftwards .59. Need align xy final -0.174 .004 z .926? Pad top .762 (we estimated .762 may actual table .75, pad .76). Finger tips min at .922-.1576=.765 and bottom 8 .75? Yes earlier 2 top .774, number top .775 table .75! Finger min .765 means 8 gripped top .765-.775; fingers don't hit table. Descent settled could speed, no actual collision. Object bottom .75; grip eef .9226 offset .1726! Because pad contact at tips top half. At placed pad top maybe .76, eef .9326. Grasp verify eef changed .014, object rising .014, same wrist size. Stable. Plan transit 1.02. Right reach pad downward at x -.173, y .005, z .94 maybe IK possible near stretched. Need maintain orientation can angle slight. Could transfer to left but budget 245 enough. Right arm across center .6 may can't reach -.17 but max shoulder sum maybe .52 x .47 and y .4 impossible. Environment initial base x .3 y -.52. Arm range .58? Eef downward at y -.2 x .414 links config maybe length .46. Need using arm right x -.17 y 0 distance .70 planar? shoulder at y -.5? Let's derive given joints kinematic not allowed internals. Just precheck assess. Can use targets partial, if fail, route or handoff. Normal task likely designed both arms but equation pad left and num right may require cross-range? ARX reach .7 likely can. We can pass obj to left on central clear table if needed. Keep left initial forward horizontal fingers at x -.3 y -.195 z .921; right carrying at z1.02 finger bottom .862 no issue as x approaches -.17 y0 separates >.2.

Now need move ~.59 left .2 y. Right reach left pad maybe reachable? Arms bases x±.3. Reach pad -.17 means right crossing .47 x, y .0 which might reachable ~.6 total. Need kinematics may fail. Could handoff to left? budget240 enough. Usually arms can reach opposite pad maybe right ~.53 radial. Must calculate base at (0.3,-.5,.75). reachable ~.65. Right eef pad(-.17,0,.94) radial .686 maybe out. Current eef at x.414 y-.2. known start extends .? Actually base y-.65, chain length .? Need explore IK precheck as near. We should use right transport across to pad at -.17 y.0 or plan left handover if rejected. We have at step60 budget240 enough. At x .05 y0 could need elbow extension. right pad -.17 reach maybe .65. We'll see. Need no reset while held. Could set 8 at middle clear then left grasp if right cannot reach. Broad table many objects. Clear y .15 behind equation ideal but right extension far. Handoff position x0 y-.15 with numeral4 at x-.03,-.075 and5 .035,-.21, no empty near. Could place x-.08 y-.17 safe between4 and5, left could pick. But more steps. Maybe right reach to pad works easy due 0.35? ARX base x.3 y-.65 lengths .25,.25. Right pad radial sqrt(.47^2+.5^2)=.686 >.5, but current base actual in image right base at pixel580,435, environment unproject .44,-.46. Robot base at .3,-.55? Let's determine not internal using picture. Base in high near(554,427) z.75 maps x.366 y-.456. arm shoulder x.3 y-.55? Measured start .3,-.352,.922 points elbow upward maybe base at .3,-.55 .? Most robot world base y-.6. Link reach .6. At final need .68 impossible. Could right arm approach oblique, link6 can stay x-.1 y-.09 while fingers offset 0.1 up-left (towards pad) and tilted ~45, so eef distant radial .61 still. Need prepare left approach handoff or do table handoff. Since goal only put8 pad

We have 235 steps lots but reach crossing right arm to pad x-.17 possible. Need safe gripper initial left at x-.3 y-.352 z.922 fingers y-.194 ending, target right pad y.003 and z.925 means separation left x .13,y.2 safe fingertips crossing swept at -.15 y.0 no collision. Right reach across maybe .47 from base x.3 = feasible ~.7. Need precheck. We'll do.

We now actual context full? I'm active have 17k budget. Need reason IK right crossing reach may requires lowered arm or rotation. Current .064,-.091,1.01 target -.028 unreachable downward orientation due reach; likely arm reach .6 and x -.17 far from .3. Can modify height lower .95 then maybe right reach pad .17 y0 radius .64 from base (.3,-.65,.?). Reach maybe .62. Could use handoff? Need replan reachable route. We have 210 controls ample but final pad far left right can't. Could place 8 central table then left grasp and place. Requires 100 controls possibly ~150 sufficient. Or right adjust orientation with rotation to extend towards left, then reach pad. Vertical downward link6 max reach .5 from origin base .3,-.63, .? Right distance to pad .78 vs arm reach .65. Could grasp held extend tip 0.157 horizontally toward left to reduce EEF at pad .0? One can tilt gripper 45° left extension but number tilt must flat at placement? Must put stable on pad. Handoff simple central place then left pickup; user says reset arm both can. Or use left taking number directly handoff risks. Best temporary placement at x .0,y-.2 near operator and 4 but free area between? Need place at x .06,y-.12 currently? surface loose 3 at .17,-.14,4 at -.03,-.07 5 at .03,-.19; current number .064,-.091 would between 4 and3 with space ~.09. Left can grasp there. Need lower and release, right retreat; left rotate and approach costs~55, grasp~10 transport~30 place~10 reset~40 total 155. Remaining 210. We have time. Need nearest placement to left, x.0,-.11 and EEF .927. Precheck lower permits further left. Could attempt target [-.016,-.09,.96] downward (distance .092). Then continue -.08,-.04,.95 maybe possible arm nearer at lower height. Need not pursue right far reach if fail. Could inspect joints mechanical extension. Current joint state at 90?

Need get right reach x negative to -.17 likely impossible at z1.015 y0 because base x.3 and arm length .5? Joint limits j2 2.2? Why precheck error 33mm at x-.028 means reachable boundary x~.005 at height1.015 y-.059. Could lower z to .96 allow reach? Link6 reach arch. Need reconstruct from arms no internals allowed measured geometry. Could try target x.008 y-.036 z.961 vertical descending still object bottom .805 ~30mm above. Allows more lateral extension? Horizontal arm extension max approx .6 base x .3 y-.5 z.75 to link6 -.17 y0 .94 total .7 unreachable. Left arm needs pad. Need handoff or stage object central. Easiest place 8 clear central table x.015 y-.15 then left pick move pad. Budget 210 plenty incl ~60 left approach. Right can maybe reach pad if extend wrist tilted, but avoid trying long uncertain. Plan stage at x.02 y-.14 no objects? 4 at -.03,-.069;5 at .03,-.193; stage .02,-.13 between could overlap? Need map pieces. Alternative stage at x.0,y-.3 front of ops row y-.278: no free to left? Right can place x.02,-.37 but left reach from x-.3. High camera front objects operator row positions: x -.151,-.052,.052,.155 y-.278. Center front space y-.38 (below row ~370) safe. Place x0,y-.37 accessible both, though frontmost cameras black stand at y-.5; table until -.5. Left at y-.35 eef finger forward -.19 need vertical. Stage 8 x0 y-.38 avoiding operators by 0.1. Then right retract to .2,-.35,z1.03 while left approach. Could parallel moving arms if safety separation >0.2, yes. But can transfer directly by floor easier and return maybe total 180 control. We have 210 now. Left orientation takes ~40 to rotate, right stage ~35; do simultaneously left orient at x-.17 y-.37 z1.0 to avoid collision, both .2 apart min. Then left center stage after right retract, pick ~15 transport to pad ~40 return ~45 within210. But extra manipulation unnecessary if right lowering orientation may reach. Could try right target [-. 01,-.065,.96] clears plane ~.803. If passes then at x-.01 can transport pad? endpoint -.17 y0 .94 farther from right by .47 vs max .39? likely fail. Need choose staging nearer pad e.g x-.0,y-.12 accessible left overhead. Staging objects avoid overlap. Geom map via pixel.

We have 210 steps can handoff placement intermediate clean near [0,-.14] then left pick. Could direct right at lower z extend -0.17 reach? Right base at .3,-.55,.75? Needed 0.67 radius. Right at .064,-.091 1.01 currently joint2 2.22 (limit 2.??). IK stall position x -.028, possibly elbow max? Could lower z makes farther? Kinematics own measured 6 joint positions no internal okay infer elbow theta3 2.118 near hard limit likely 2.2. Fully extended? ARX X5 zero maybe extends forward y -? Need try lower z and orientation tweak .2 rad y. Gripper angled left could move finger left without as much EEF reach but up to .16. For target pad x -.17 need eef -.1 with fingers pointing left .07. Right radial still .6. May succeed at normal placement height .925, fairly. But precheck target at -.028 1.015 fails position32mm with orientation perfect suggests wrist joint3 reaches2.2 high folded at high z? To determine could try target [0.0,-.059,.96] (<.1) downward to shift. Clearance object bottom .8 ~30mm margin above 4 at x -.03,y-.077. Held8 extents ±.02 y and±.015x, 4 approx radius .02; we can move via y -.145 instead. But if direct reach fail, need intermediate. Better right goal stable place clean [0.0,-.145] need descend .919 after. Then left grab on same location. More steps ~140 still okay. But user task okay. Yet could complete directly with right if lower z allows. Try right [0.0,-.045,.958] within .094, passes? Path number over 4 at(-.033,-.077) distance45 at end, whole object extents <.025. Finger extents 20x30, may no. At lower z table clearance40mm so fine.

Need solve reach. From right base cannot reach -0.17 same orientation likely. Need exchange via table or left hand. We have 205steps left plenty ~100 left approach + transfer. Set down near middle at x0,y-.12 open free rectangle between 4(-.033,-.077),5(.03,-.195),3(.159,-.14), operators -.27. Could set x-.03,y-.16 no obstacles radius .02 5 distance .07 4 .08. Left can reach x-.03 y-.16 at z.923. Right can easily too. This simpler than reaching farther. Need move to x-.03,-.14? Dist from 4 .063, number half length .028 plus 4 radius .02 margin .015. nearest5 .08. Gripper extent in plane .06 x and .02y. Fine. Choose (0,-.145). 4 dist .075,5 .058 center with length along y .05 plus 5 length .04 halves .045 + .01 margin. choose x-.045,-.16 (4 .083,5 .083). Best. Need pad target ultimate x-.168,y0. Direct right may reachable down z.95 x-.06 then tilt negative yaw reaching to left; but would require rotate number no. Place for left. Need 40 left rotate steps to source, 20grasp etc 30transport +30reset ~130 remains. Right drop/retract ~20. okay. Could parallel left approach while right placement but ensure arms clearance. Left standby x-.15,-.22,1.06 then reach. right x-.045,-.16 and z.92 armgripper all x ±.06 and left hand x-.15 ±.08 could overlap at separation .105. Need keep left high z1.12 until right retreat. Better rotate left at (-.25,-.30,1.02) far away ~0.25 then accelerate. 5 per motions. Need explain transfer via table to use left.

We decided transfer unnecessarily maybe right can reach at y-.14 x-.05 not pad. clear patch x-.08,y-.15. Need safe margin fingers open across x +/- .06 at release, nearest5 .03,-.194 d .12 so good. 4 -.033,-.077 d .09. staging choose x-.085 y-.164, away from4 .10, 9 x-.267 y-.157. Good left reaching easily. Need coordinate staging -0.08,-.16,z .927. Approach above. Left rotate but stay x-.26 y-.32, height1.01. delta further yaw .4. q for .6 as above. Can parallel move right horizontal -.07 and left rotation.

Need budget ~195 plenty. Left rotation further while right lower. Temporary x -.08 y-.164 safe 5 .03,-.194 gap .11. minus -.05,-.27 .11. 4 -.033,-.077 .1. 9 -.265,-.15 .18. Good. right eef z .966 bottom .81 .04 table. Lower .94 2 then .927 2 then .922 2, open4. Left advances rotation along .8,1.1,1.4 maybe 10calls total.

We have 122 plenty. Need pad center exact plane wrist. Visible ellipse top 0 bottom? pad center maybe316,128 corresponds z. Need infer pad top z from table original. Could use multi camera high pad leftmost point and wrist same boundary triang. We can calculate plane center using top/bottom ellipse corrections. Pad appears circle radius ~.04? Original high pad diameter32 px ~.075. Wrist at height .988 z camera looking angled gives ellipse center (317,126) and upper y4 lower 237 behind object. Approx center environment point at y.002. Need estimate pad z .76? earlier triang used wrong center left. Can use high edge left image (230,204) and wrist leftmost (197,114) at same physical x-min not exact projected y changes. Need no unnecessary. Likely pad center x=-.17 y0 z.75? Equation centers high all v203. Table native often .74? From earlier grasp object bottom .765 top .773, pad top maybe .75? Wait table gripper halted at .9226 means finger tip .765, table top perhaps .76. So table z .76, object top .778? Good. Pad top .767? Aim eef .929. Hold object original contact .924, object bottom approximate .764, top .78 (thickness .018). Pad surface top table+.008= .773. Thus place .934. Need refine observed holding object top height with wrist using triangle? Could identify 8top upper hole in high view (239,186) and wrist (325,246) at same top -> compute. Pad top corner manual. We'll inspect original crop initial for z fit triangles. Can derive approximate from 0 upper number2 top=.774. table .76 implies thickness .014. The 8 top initial .773 triang confirms top. At eef .9226, finger far tip=.765. Enough side. base likely .76; piece height .014. Place eef .931 vs pad+.008. Let's proceed descending with center y0.

We have context nearing? 17k tokens still good. Need placement height pad top .765? Estimate. Wrist view pad center maybe [325,200] while held center [324,281] mostly projection due height 4cm. At current EEF .96 bottom number .802 difference pad .765=.037. View optical tilt gives y parallax. At height near .93 object image overlays center likely. Need lower .94 then .93. Ensure 8 big loop stays oriented, stable.

Need understand contact tilted? 8 seems top hole black bottom wood suggests tilt with one edge touching? Table pad top .769; held base at .934 - .924 + .75 = .76, so pad supports ~.765 causing slight tilt contact. We should open now. Have 113 enough reset. Need no extra lowering.

Now reset. Need sufficient open space yes left height1.013 fingers bottom .855 80mm. right1.015 .857. Motion reset may sweep toward front then up? initial fingers z.921 horizontal safe. Joint trajectory could arc downward? Usually reset straightforward above table maybe. Estimate50 left diff.37 right.109 orientation1.57. use50.