{"id":1620,"date":"2026-08-31T14:22:37","date_gmt":"2026-08-31T06:22:37","guid":{"rendered":"https:\/\/bastone-petrochem.com\/?p=1620"},"modified":"2026-08-28T08:45:38","modified_gmt":"2026-08-28T00:45:38","slug":"pe100-resin-grade-pipe-extruder","status":"publish","type":"post","link":"https:\/\/bastone-petrochem.com\/es\/pe100-resin-grade-pipe-extruder\/","title":{"rendered":"\u00bfQu\u00e9 Grado de Resina PE100 Necesita un Extrusor de Tuber\u00edas?"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">A single PE100 pipe compound prints three melt flow rates on one datasheet: 0.08, 0.3 and 8.5 g\/10 min. Only the middle number, measured at 190 \u00b0C under a 5 kg load, is the one the application standard asks for.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The spread across loads is the observable signature of a bimodal molecular weight distribution, the architecture behind every PE100 pipe resin. Two datasheets whose MFR figures were measured at different loads are not reporting the same property.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">MFI alone does not tell you whether a PE100 grade will draw clean. You also need molecular-weight distribution data, the design stress your pipe&#8217;s SDR implies, and a certificate that actually binds the supplier to the numbers the line requires.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What Makes a Resin PE100 Rather Than Ordinary HDPE<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">PE100 designates a <a href=\"https:\/\/bastone-petrochem.com\/pp-grade-ppr-pipe-line\/\">hydrostatic strength class<\/a>, not a density or a temperature rating. The number means the resin carries a minimum required strength of 10.0 MPa.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">What earns that class is not a single property but an architecture.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Bimodal Molecular Weight Distribution<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">PE100 pipe resin is produced in a cascade or single-reactor process that builds two molecular weight populations into one pellet. The low-molecular-weight, high-density fraction carries stiffness and processability. The high-molecular-weight fraction bears the comonomer, supplying the tie chains that connect crystalline regions and resist slow crack growth.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1672\" height=\"941\" src=\"https:\/\/bastone-petrochem.com\/wp-content\/uploads\/2026\/08\/pe100-resin-grade-pipe-extruder-1-11f91b7b.png\" alt=\"Cross-section of a PE100 resin pellet showing two molecular weight populations, short dense chains providing stiffness alongside long entangled chains whose tie molecules bridge crystalline regions\" class=\"wp-image-1692\" style=\"max-width:100%;height:auto\" srcset=\"https:\/\/bastone-petrochem.com\/wp-content\/uploads\/2026\/08\/pe100-resin-grade-pipe-extruder-1-11f91b7b.png 1672w, https:\/\/bastone-petrochem.com\/wp-content\/uploads\/2026\/08\/pe100-resin-grade-pipe-extruder-1-11f91b7b-300x169.png 300w, https:\/\/bastone-petrochem.com\/wp-content\/uploads\/2026\/08\/pe100-resin-grade-pipe-extruder-1-11f91b7b-1024x576.png 1024w, https:\/\/bastone-petrochem.com\/wp-content\/uploads\/2026\/08\/pe100-resin-grade-pipe-extruder-1-11f91b7b-768x432.png 768w, https:\/\/bastone-petrochem.com\/wp-content\/uploads\/2026\/08\/pe100-resin-grade-pipe-extruder-1-11f91b7b-1536x864.png 1536w, https:\/\/bastone-petrochem.com\/wp-content\/uploads\/2026\/08\/pe100-resin-grade-pipe-extruder-1-11f91b7b-18x10.png 18w, https:\/\/bastone-petrochem.com\/wp-content\/uploads\/2026\/08\/pe100-resin-grade-pipe-extruder-1-11f91b7b-600x338.png 600w\" sizes=\"auto, (max-width: 1672px) 100vw, 1672px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">On a bimodal PE100 black compound datasheet, the three MFR rows read 0.08 g\/10 min at 2.16 kg, 0.3 at 5 kg and 8.5 at 21.6 kg, all at 190 \u00b0C per ISO 1133. A unimodal resin does not spread that far across loads.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The architecture also governs what happens on the line. Bimodal resins carry higher low-shear viscosity, which resists sag in thick-wall pipe extrusion above roughly 75 mm wall thickness.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A PPCA 2018 conference paper ran a bimodal PE 4710\/PE 100 resin to 610 mm DR 7.3 at 83.5 mm minimum wall, with carbon black dispersion measured uniform through the wall per ISO 18553. The paper&#8217;s own caveat: resin melt strength alone was not sufficient, and cooling control was co-equal.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">MFR and Density Bands<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Pipe extrusion lines constrain PE100 compounds to a 0.2 to 1.4 g\/10 min MFR band at 190 \u00b0C\/5 kg per ISO 1133. Most producers nominate a value near 0.3 g\/10 min for pressure pipe.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A PE100 figure quoted at 2.16 kg lands near 0.08 g\/10 min, well outside the standard&#8217;s band. Two datasheets at different loads are not comparable, and neither number tells you whether the grade will process on your line.<\/p>\n\n\n\n<div data-chart-block=\"hbar\" class=\"nm-chart\" role=\"figure\" aria-label=\"Same compound, three loads: the number changes by two orders of magnitude \u2014 Melt flow rate of one bimodal PE100 black compound at three ISO 1133 loads (g\/10 min)\"><style>.nm-chart { margin:2rem 0; padding:1.25rem 1.4rem; background:var(--nm-paper,#f7f8fa); border:1px solid var(--nm-line,#dfe4ea); border-radius:12px; color:var(--nm-ink,#1c2e4a); font-family:inherit; } .nm-chart .nm-title { font-size:1.05rem; font-weight:700; line-height:1.3; margin:0 0 .25rem; } .nm-chart .nm-subtitle { font-size:.9rem; line-height:1.45; margin:0 0 1.1rem; color:var(--nm-muted,#6b7a8c); } .nm-chart .nm-rows { display:flex; flex-direction:column; gap:.85rem; } .nm-chart .nm-row { display:grid; grid-template-columns:minmax(80px,22%) 1fr max-content; align-items:center; gap:.75rem; } .nm-chart .nm-rowlabel { font-size:.9rem; line-height:1.3; overflow-wrap:anywhere; color:var(--nm-label,#3c4a60); } .nm-chart .nm-track { position:relative; height:1.5rem; border-radius:4px; background:var(--nm-track,#e3e7ed); } .nm-chart .nm-bar { position:absolute; top:0; height:100%; border-radius:4px; background:var(--nm-bar,#2b4d76); } .nm-chart .nm-value { font-size:.9rem; font-weight:700; text-align:right; white-space:nowrap; color:var(--nm-accent,#c8611a); } .nm-chart .nm-stacktrack { display:flex; height:2rem; border-radius:5px; overflow:hidden; } .nm-chart .nm-seg { height:100%; } .nm-chart .nm-legend { display:flex; flex-wrap:wrap; gap:.55rem 1.5rem; margin-top:1rem; } .nm-chart .nm-legrow { display:flex; align-items:center; gap:.5rem; font-size:.9rem; } .nm-chart .nm-swatch { width:.8rem; height:.8rem; border-radius:2px; flex:none; } .nm-chart .nm-legval { font-weight:700; color:var(--nm-accent,#c8611a); } .nm-chart .nm-leglabel { color:var(--nm-label,#3c4a60); } .nm-chart .nm-source { font-size:.78rem; letter-spacing:.02em; margin-top:1.1rem; color:var(--nm-muted,#6b7a8c); } .nm-chart .nm-axis { display:flex; justify-content:space-between; margin:.5rem 3.4rem 0 calc(22% + .75rem + 3.4rem); font-size:.72rem; color:var(--nm-muted,#6b7a8c); } .nm-chart .nm-tick { flex:0 0 auto; } .nm-chart .nm-axis-log { position:relative; display:block; height:1rem; } .nm-chart .nm-tick-abs { position:absolute; transform:translateX(-50%); white-space:nowrap; } .nm-chart .nm-dbrow { display:grid; grid-template-columns:minmax(80px,22%) 1fr; align-items:center; gap:.75rem; } \/* The row's extreme values sit AT 0% and 100% of the track, and their labels hang outside those points \u2014 so the track cannot span the full row or the widest label overflows the card (shipped 2026-08-02: \"200 %\" clipped off the right edge). Reserve a gutter on both sides instead of shrinking the data. *\/ .nm-chart .nm-dbtrack { position:relative; height:2.1rem; margin:0 3.4rem; } .nm-chart .nm-dbline { position:absolute; top:50%; height:3px; margin-top:-1.5px; border-radius:2px; background:var(--nm-track,#e3e7ed); } .nm-chart .nm-dot { position:absolute; top:50%; width:.72rem; height:.72rem; margin:-.36rem 0 0 -.36rem; border-radius:50%; } .nm-chart .nm-dot-a { background:var(--nm-bar-a,#6f89a8); } .nm-chart .nm-dot-b { background:var(--nm-accent,#c8611a); } .nm-chart .nm-dbval { position:absolute; top:50%; font-size:.78rem; font-weight:700; white-space:nowrap; transform:translateY(-50%); } .nm-chart .nm-dbval-a { color:var(--nm-label,#3c4a60); } .nm-chart .nm-dbval-b { color:var(--nm-accent,#c8611a); } .nm-chart .nm-dbval-left { margin-left:-.75rem; transform:translate(-100%,-50%); } .nm-chart .nm-dbval-right { margin-left:.75rem; } .nm-chart .nm-sw-a { background:var(--nm-bar-a,#6f89a8); } .nm-chart .nm-sw-b { background:var(--nm-accent,#c8611a); } .nm-chart .nm-donutwrap { display:flex; flex-wrap:wrap; align-items:center; gap:1.5rem 2rem; } .nm-chart .nm-donut { position:relative; flex:0 0 auto; width:min(11rem,42vw); } .nm-chart .nm-donut svg { display:block; width:100%; height:auto; transform:rotate(0deg); } .nm-chart .nm-center { position:absolute; inset:0; display:flex; flex-direction:column; align-items:center; justify-content:center; text-align:center; pointer-events:none; } .nm-chart .nm-centerval { font-size:1.7rem; font-weight:800; line-height:1; color:var(--nm-ink,#1c2e4a); } .nm-chart .nm-centerlab { font-size:.75rem; margin-top:.25rem; color:var(--nm-muted,#6b7a8c); } .nm-chart .nm-donutside { flex:1 1 13rem; min-width:12rem; display:flex; flex-direction:column; gap:.55rem; } .nm-chart .nm-legdesc { color:var(--nm-muted,#6b7a8c); } .nm-chart .nm-note { margin-top:.5rem; font-size:.88rem; line-height:1.5; color:var(--nm-label,#3c4a60); } @media (max-width:640px) { .nm-chart .nm-row { grid-template-columns:1fr max-content; grid-template-areas:\"lab val\" \"track track\"; row-gap:.35rem; } .nm-chart .nm-rowlabel { grid-area:lab; } .nm-chart .nm-value { grid-area:val; } .nm-chart .nm-track { grid-area:track; } .nm-chart .nm-dbrow { grid-template-columns:1fr; row-gap:.1rem; } .nm-chart .nm-dbtrack { margin:0 2.8rem; } .nm-chart .nm-axis { margin:.5rem 2.8rem 0 2.8rem; } .nm-chart .nm-donut { width:min(9rem,46vw); margin:0 auto; } }<\/style><div class=\"nm-subtitle\">Melt flow rate of one bimodal PE100 black compound at three ISO 1133 loads (g\/10 min)<\/div><div class=\"nm-rows\"><div class=\"nm-row\"><div class=\"nm-rowlabel\">190 \u00b0C \/ 2.16 kg (Cond. D)<\/div><div class=\"nm-track\"><div class=\"nm-bar\" style=\"left:0.00%;width:1.20%\"><\/div><\/div><div class=\"nm-value\">0.08 g\/10 min<\/div><\/div><div class=\"nm-row\"><div class=\"nm-rowlabel\">190 \u00b0C \/ 5 kg (Cond. T)<\/div><div class=\"nm-track\"><div class=\"nm-bar\" style=\"left:0.00%;width:28.33%\"><\/div><\/div><div class=\"nm-value\">0.3 g\/10 min<\/div><\/div><div class=\"nm-row\"><div class=\"nm-rowlabel\">190 \u00b0C \/ 21.6 kg (HLMI)<\/div><div class=\"nm-track\"><div class=\"nm-bar\" style=\"left:0.00%;width:100.00%\"><\/div><\/div><div class=\"nm-value\">8.5 g\/10 min<\/div><\/div><\/div><div class=\"nm-axis nm-axis-log\"><span class=\"nm-tick nm-tick-abs\" style=\"left:0.00%\">0.08<\/span><span class=\"nm-tick nm-tick-abs\" style=\"left:19.64%\">0.2<\/span><span class=\"nm-tick nm-tick-abs\" style=\"left:39.28%\">0.5<\/span><span class=\"nm-tick nm-tick-abs\" style=\"left:54.13%\">1<\/span><span class=\"nm-tick nm-tick-abs\" style=\"left:68.99%\">2<\/span><span class=\"nm-tick nm-tick-abs\" style=\"left:88.63%\">5<\/span><span class=\"nm-tick nm-tick-abs\" style=\"left:100.00%\">8.5 g\/10 min<\/span><\/div><\/div><!-- \/chart -->\n\n\n\n<p class=\"wp-block-paragraph\">Base density for an unpigmented PE100 pipe resin such as <a href=\"https:\/\/bastone-petrochem.com\/product\/tub121n3000-pe100\/\">TUB121N3000<\/a> sits around 0.948 to 0.950 g\/cm\u00b3. A black compound with 2 to 2.5% carbon black by mass reads higher, typically 0.959, because the filler is far denser than polyethylene. The datasheet qualifier &#8220;pellets, pigmented&#8221; is the clue.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Butene vs Hexene<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Hexene-based PE100 resins produce longer short-chain branches that generate more tie molecules between crystalline lamellae and improve slow crack growth resistance. Hexene grades also deliver better melt strength, which means less sag on large-diameter extrusion lines.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Butene-based grades cost less and process adequately on most standard-diameter lines. For thick-wall pipe above roughly 630 mm diameter, hexene&#8217;s melt-strength advantage becomes a specification issue, not a preference.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">How Design Stress and SDR Set the Pressure Class<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><a href=\"https:\/\/bastone-petrochem.com\/product-category\/synthetic-resin\/pe\/\">PE100<\/a> resin at MRS 10.0 MPa translates to a design stress of 8.0 MPa after applying a service coefficient C of at least 1.25. The maximum operating pressure follows from MOP = 20 x MRS \/ [C x (SDR &#8211; 1)], where SDR is the ratio of outer diameter to wall thickness.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">For PE100 at C = 1.25:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>SDR<\/th><th>Pressure Class<\/th><\/tr><\/thead><tbody><tr><td>11<\/td><td>16 bar (PN16)<\/td><\/tr><tr><td>17<\/td><td>10 bar (PN10)<\/td><\/tr><tr><td>26<\/td><td>6.4 bar<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">In ASTM territory the same arithmetic gives DR 11 at 200 psi and DR 17 at 125 psi, matching the PE4710 cell classification 445574C\/E per ASTM D3350.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Your pipe drawing already carries the SDR. The pressure class follows from that single number and the PE100 design stress, so the resin specification for pressure capacity writes itself from the drawing.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">When to Specify PE100-RC Instead of Standard PE100<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">PE100-RC is bought against the installation method, not as a general quality upgrade. The RC designation (resistant to cracking) carries the same MRS of 10.0 MPa but demands far higher slow crack growth resistance, certified through an accelerated notched pipe test (ANPT) above 300 hours at 80 \u00b0C.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Installations that justify PE100-RC:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Horizontal directional drilling<\/li>\n<li>Open-trench work without sand bedding, reusing excavated soil as backfill<\/li>\n<li>Pipe bursting<\/li>\n<li>Any trench where gravels impose high point loading<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Dropping the sand bed can save 20 to 50% of trench cost per the PE100+ Association, which is what offsets the RC price premium. Where the pipe goes into a sand-bedded trench, standard PE100 does the job.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The reference document most content still names for PE100-RC, PAS 1075, is withdrawn. Its requirements now sit inside the revised EN 12201\/ISO 4427 (water) and EN 1555\/ISO 4437 (gas) series, with PE100-RC as a separate material designation. A purchase order citing PAS 1075 in 2026 references a withdrawn document.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The surfactant used in accelerated testing, Arkopal, has ceased production. Lauramine oxide (Dethyton PL) is under evaluation and a new failure-time threshold is still being defined.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A real certificate today will show ANPT above 300 hours at 80 \u00b0C, not an NPT result above 8760 hours. Demanding the longer test means asking for a procedure nobody runs routinely.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">PE100 is specified for cold-water and buried service. Where the line runs continuously hot, <a href=\"https:\/\/bastone-petrochem.com\/product\/dgdz-3606-pe-rt\/\">PE-RT<\/a> is the pipe polyethylene to specify.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What to Check on a PE100 Compound Certificate<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">ISO 4427-1 assigns the MFR test condition by material class. PE 63, PE 80 and PE 100 use Condition T (190 \u00b0C\/5 kg); PE 40 uses Condition D (190 \u00b0C\/2.16 kg). Both sit in a band of 0.2 to 1.4 g\/10 min, with a maximum deviation of 20% from the nominated value.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">That tolerance is what turns an incoming MFR measurement into a pass or fail. If the supplier nominates 0.3 g\/10 min and the lot arrives at 0.38, it is outside the 20% window.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The full checklist from the standard (confirm against the edition currently in force):<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Property<\/th><th>Requirement<\/th><th>Method<\/th><\/tr><\/thead><tbody><tr><td>Compound density<\/td><td>\u2265 930 kg\/m\u00b3<\/td><td>ISO 1183-2<\/td><\/tr><tr><td>Carbon black content<\/td><td>2 to 2.5% by mass<\/td><td>ISO 6964<\/td><\/tr><tr><td>Carbon black dispersion<\/td><td>\u2264 grade 3<\/td><td>ISO 18553<\/td><\/tr><tr><td>Oxidation induction time<\/td><td>\u2265 20 min at 200 \u00b0C<\/td><td>ISO 11357-6<\/td><\/tr><tr><td>MFR (PE 63\/80\/100)<\/td><td>0.2 to 1.4 g\/10 min at 190 \u00b0C\/5 kg<\/td><td>ISO 1133, Cond. T<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Only the producer&#8217;s own clean regrind may enter the compound. External reprocessed and recyclable material is banned by the same standard.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The certificate also confirms classification per ISO 12162. Accept it as a lookup confirming the hydrostatic strength class.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">What the certificate does not measure: long-term properties such as 50-year service life and stress-crack resistance come from type-approval testing on the grade, not from the incoming lot. The datasheet reports typical values. The certificate reports what was measured on that specific lot.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Before releasing the container, run the certificate against the specification you have written. Check carbon black content and dispersion, MFR at the stated condition with its deviation, and the slow-crack-growth result if the grade is PE100-RC.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Where Most PE100 Specifications Go Wrong<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The mistake is not choosing the wrong PE100 grade. It is writing a specification in which the numbers cannot be verified because the test conditions are missing.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A melt flow rate without its load condition is not a comparable number. A density without the &#8220;pellets, pigmented&#8221; qualifier is not a base-polymer density. A slow-crack-growth requirement citing a withdrawn document is a specification the supplier can honor loosely or not at all.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">The COA gives you four numbers. The spec sheet gives you the window. The application tells you which corner of the window you actually need.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Write the condition next to every number, name the test method, and confirm the edition in force before the purchase order goes out.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A single PE100 pipe compound prints three melt flow rates on one datasheet: 0.08, 0.3 and 8.5 g\/10 min. Only the middle number, measured at 190 \u00b0C under a 5 kg load, is the one the application standard asks for. The spread across loads is the observable signature of a bimodal molecular weight distribution, the [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":1692,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1620","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized"],"blocksy_meta":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Which PE100 Resin Grade Does a Pipe Extruder Need? - BASTONE<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/bastone-petrochem.com\/es\/pe100-resin-grade-pipe-extruder\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Which PE100 Resin Grade Does a Pipe Extruder Need? - BASTONE\" \/>\n<meta property=\"og:description\" content=\"A single PE100 pipe compound prints three melt flow rates on one datasheet: 0.08, 0.3 and 8.5 g\/10 min. Only the middle number, measured at 190 \u00b0C under a 5 kg load, is the one the application standard asks for. 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