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Fair Value Measurements (Tables) | 12 Months Ended
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Dec. 31, 2021
Fair Value Disclosures [Abstract] |
Schedule of Assets and Liabilities Measured at Fair Value on a Recurring Basis | Below is a summary of the assets and liabilities that are measured at fair value on a recurring basis and also represents the carrying amount on the Company’s consolidated balance sheets:
| At December 31, 2021 | Total |  | Quoted Prices in Active Markets for Identical Assets (Level 1) |  | Significant Other Observable Inputs (Level 2) |  | Significant Unobservable Inputs (Level 3) |
| Fixed maturity investments |  |  |  |  |  |  |  |
| U.S. treasuries | $ | 6,247,779 |  |  | $ | 6,247,779 |  |  | $ | — |  |  | $ | — |  |
| Agencies | 361,684 |  |  | — |  |  | 361,684 |  |  | — |  |
| Non-U.S. government | 549,613 |  |  | — |  |  | 549,613 |  |  | — |  |
| Non-U.S. government-backed corporate | 474,848 |  |  | — |  |  | 474,848 |  |  | — |  |
| Corporate | 3,214,438 |  |  | — |  |  | 3,214,438 |  |  | — |  |
| Agency mortgage-backed | 721,955 |  |  | — |  |  | 721,955 |  |  | — |  |
| Non-agency mortgage-backed | 233,346 |  |  | — |  |  | 233,346 |  |  | — |  |
| Commercial mortgage-backed | 634,925 |  |  | — |  |  | 634,925 |  |  | — |  |
| Asset-backed | 1,068,543 |  |  | — |  |  | 1,068,543 |  |  | — |  |
| Total fixed maturity investments | 13,507,131 |  |  | 6,247,779 |  |  | 7,259,352 |  |  | — |  |
| Short term investments | 5,298,385 |  |  | — |  |  | 5,298,385 |  |  | — |  |
| Equity investments trading | 546,016 |  |  | 546,016 |  |  | — |  |  | — |  |
| Other investments |  |  |  |  |  |  |  |
| Catastrophe bonds | 1,104,034 |  |  | — |  |  | 1,104,034 |  |  | — |  |
| Direct private equity investments | 88,373 |  |  | — |  |  | — |  |  | 88,373 |  |
| Term loans | 74,850 |  |  |  |  |  |  | 74,850 |  |
|  | 1,267,257 |  |  | — |  |  | 1,104,034 |  |  | 163,223 |  |
| Fund investments (1) | 725,802 |  |  |  |  |  |  |  |
| Total other investments | 1,993,059 |  |  | — |  |  | 1,104,034 |  |  | 163,223 |  |
| Other assets and (liabilities) |  |  |  |  |  |  |  |
| Assumed and ceded (re)insurance contracts (2) | (4,727) |  |  | — |  |  | — |  |  | (4,727) |  |
| Derivative assets (3) | 17,889 |  |  | 1,067 |  |  | 16,822 |  |  | — |  |
| Derivatives liabilities (3) | (16,954) |  |  | (1,598) |  |  | (15,356) |  |  | — |  |
| Total other assets and (liabilities) | (3,792) |  |  | (531) |  |  | 1,466 |  |  | (4,727) |  |
|  | $ | 21,340,799 |  |  | $ | 6,793,264 |  |  | $ | 13,663,237 |  |  | $ | 158,496 |  |
(1) Fund investments, which are comprised of private equity funds, private credit funds, and hedge funds are measured at fair value using the net asset value per share (or its equivalent) as a practical expedient and have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheet. (2) Included in assumed and ceded (re)insurance contracts at December 31, 2021 was $6.1 million of other assets and $10.8 million of other liabilities. (3) Refer to “Note 19. Derivative Instruments” for additional information related to the fair value, by type of contract, of derivatives entered into by the Company.
| At December 31, 2020 | Total |  | Quoted Prices in Active Markets for Identical Assets (Level 1) |  | Significant Other Observable Inputs (Level 2) |  | Significant Unobservable Inputs (Level 3) |
| Fixed maturity investments |  |  |  |  |  |  |  |
| U.S. treasuries | $ | 4,960,409 |  |  | $ | 4,960,409 |  |  | $ | — |  |  | $ | — |  |
| Agencies | 368,032 |  |  | — |  |  | 368,032 |  |  | — |  |
| Non-U.S. government | 491,531 |  |  | — |  |  | 491,531 |  |  | — |  |
| Non-U.S. government-backed corporate | 338,014 |  |  | — |  |  | 338,014 |  |  | — |  |
| Corporate | 4,261,025 |  |  | — |  |  | 4,261,025 |  |  | — |  |
| Agency mortgage-backed | 1,113,792 |  |  | — |  |  | 1,113,792 |  |  | — |  |
| Non-agency mortgage-backed | 291,444 |  |  | — |  |  | 291,444 |  |  | — |  |
| Commercial mortgage-backed | 791,272 |  |  | — |  |  | 791,272 |  |  | — |  |
| Asset-backed | 890,984 |  |  | — |  |  | 890,984 |  |  | — |  |
| Total fixed maturity investments | 13,506,503 |  |  | 4,960,409 |  |  | 8,546,094 |  |  | — |  |
| Short term investments | 4,993,735 |  |  | — |  |  | 4,993,735 |  |  | — |  |
| Equity investments trading | 702,617 |  |  | 702,617 |  |  | — |  |  | — |  |
| Other investments |  |  |  |  |  |  |  |
| Catastrophe bonds | 881,290 |  |  | — |  |  | 881,290 |  |  | — |  |
| Direct private equity investments (1) | 79,807 |  |  | — |  |  | — |  |  | 79,807 |  |
|  | 961,097 |  |  | — |  |  | 881,290 |  |  | 79,807 |  |
| Fund investments (1) | 295,851 |  |  |  |  |  |  |  |
| Total other investments | 1,256,948 |  |  | — |  |  | 881,290 |  |  | 79,807 |  |
| Other assets and (liabilities) |  |  |  |  |  |  |  |
| Assumed and ceded (re)insurance contracts (2) | (6,211) |  |  | — |  |  | — |  |  | (6,211) |  |
| Derivative assets | 45,233 |  |  | 156 |  |  | 45,077 |  |  | — |  |
| Derivative liabilities (3) | (22,360) |  |  | (567) |  |  | (21,793) |  |  | — |  |
| Total other assets and (liabilities) | 16,662 |  |  | (411) |  |  | 23,284 |  |  | (6,211) |  |
|  | $ | 20,476,465 |  |  | $ | 5,662,615 |  |  | $ | 14,444,403 |  |  | $ | 73,596 |  |
(1) Fund investments, which are comprised of private equity funds, private credit funds, and hedge funds are measured at fair value using the net asset value per share (or its equivalent) as a practical expedient and have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheet. (2) Included in assumed and ceded (re)insurance contracts at December 31, 2020 was $1.4 million of other assets and $7.6 million of other liabilities. (3) Refer to “Note 19. Derivative Instruments” for additional information related to the fair value, by type of contract, of derivatives entered into by the Company.
Schedule of Quantitative Information Used as Level 3 Inputs | Below is a summary of quantitative information regarding the significant unobservable inputs (Level 3) used in determining the fair value of assets and liabilities measured at fair value on a recurring basis:
| At December 31, 2021 | Fair Value (Level 3) |  | Valuation Technique |  | Unobservable Inputs |  | Low |  | High |  | Weighted Average or Actual |
| Other investments |  |  |  |  |  |  |  |  |  |  |  |
| Direct private equity investments | $ | 88,373 |  |  | Internal valuation model |  | Discount rate |  | n/a |  | n/a |  | 7.5 | % |
|  |  |  |  |  | Liquidity discount |  | n/a |  | n/a |  | 15.0 | % |
| Term loans | 74,850 |  |  | Yield analysis |  | Transaction yield |  | n/a |  | n/a |  | 2.78 | % |
| Total other investments | 163,223 |  |  |  |  |  |  |  |  |  |  |  |
| Other assets and (liabilities) |  |  |  |  |  |  |  |  |  |  |  |
| Assumed and ceded (re)insurance contracts | (4,727) |  |  | Internal valuation model |  | Net undiscounted cash flows |  | n/a |  | n/a |  | $ | 14,920 |  |
|  |  |  |  |  | Expected loss ratio |  | n/a |  | n/a |  | 14.7 | % |
|  |  |  |  |  | Discount rate |  | n/a |  | n/a |  | 1.3 | % |
| Total other assets and (liabilities) | (4,727) |  |  |  |  |  |  |  |  |  |  |  |
| Total other assets and (liabilities) measured at fair value on a recurring basis using Level 3 inputs | $ | 158,496 |  |  |  |  |  |  |  |  |  |  |  |
| At December 31, 2020 | Fair Value (Level 3) |  | Valuation Technique |  | Unobservable Inputs |  | Low |  | High |  | Weighted Average or Actual |
| Other investments |  |  |  |  |  |  |  |  |  |  |  |
| Private equity investment | $ | 79,807 |  |  | Internal valuation model |  | Discount rate |  | n/a |  | n/a |  | 9.0 | % |
|  |  |  |  |  | Liquidity discount |  | n/a |  | n/a |  | 15.0 | % |
| Total other investments | 79,807 |  |  |  |  |  |  |  |  |  |  |  |
| Other assets and (liabilities) |  |  |  |  |  |  |  |  |  |  |  |
| Assumed and ceded (re)insurance contracts | (190) |  |  | Internal valuation model |  | Bond price |  | n/a |  | n/a |  | $ | 99.31 |  |
|  |  |  |  |  | Liquidity discount |  | n/a |  | n/a |  | 1.3 | % |
| Assumed and ceded (re)insurance contracts | (7,395) |  |  | Internal valuation model |  | Net undiscounted cash flows |  | n/a |  | n/a |  | $ | 12,514 |  |
|  |  |  |  |  | Expected loss ratio |  | n/a |  | n/a |  | 24.0 | % |
|  |  |  |  |  | Discount rate |  | n/a |  | n/a |  | 0.4 | % |
| Assumed and ceded (re)insurance contracts | 1,374 |  |  | Internal valuation model |  | Expected loss ratio |  | n/a |  | n/a |  | 0.0 | % |
| Total other assets and (liabilities) | (6,211) |  |  |  |  |  |  |  |  |  |  |  |
| Total other assets and (liabilities) measured at fair value on a recurring basis using Level 3 inputs | $ | 73,596 |  |  |  |  |  |  |  |  |  |  |  |
Schedule of Assets and Liabilities Measured at Fair Value an a Recurring Basis Using Level 3 Inputs | Below is a reconciliation of the beginning and ending balances, for the periods shown, of assets and liabilities measured at fair value on a recurring basis using Level 3 inputs. Interest and dividend income are included in net investment income and are excluded from the reconciliation.
|  |  |  | Other Investments |  | Other Assets and (Liabilities) |  | Total |
|  |  |  | Direct private equity investments |  | Term loans |  |  |  |  |
| Balance - January 1, 2021 |  |  | $ | 79,807 |  |  | $ | — |  |  | $ | (6,211) |  |  | $ | 73,596 |  |
| Total realized and unrealized gains (losses) |  |  |  |  |  |  |  |  |  |
| Included in net realized and unrealized gains (losses) on investments |  |  | (159) |  |  | — |  |  | — |  |  | (159) |  |
| Included in other income |  |  | — |  |  | — |  |  | 2,624 |  |  | 2,624 |  |
| Total foreign exchange gains |  |  | (3) |  |  | — |  |  | — |  |  | (3) |  |
| Purchases |  |  | 9,676 |  |  | 74,850 |  |  | (1,140) |  |  | 83,386 |  |
| Sales |  |  | (948) |  |  | — |  |  | — |  |  | (948) |  |
| Settlements |  |  | — |  |  | — |  |  | — |  |  | — |  |
| Balance - December 31, 2021 |  |  | $ | 88,373 |  |  | $ | 74,850 |  |  | $ | (4,727) |  |  | $ | 158,496 |  |
|  |  | Other Investments |  | Other Assets and (Liabilities) |  | Total |
|  |  | Direct private equity investments |  | Term loans |  |  |  |  |
| Balance - January 1, 2020 |  | $ | 74,634 |  |  | $ | — |  |  | $ | 4,731 |  |  | $ | 79,365 |  |
| Total realized and unrealized gains (losses) |  |  |  |  |  |  |  |  |
| Included in net realized and unrealized gains (losses) on investments |  | (5,662) |  |  | — |  |  | — |  |  | (5,662) |  |
| Included in other income |  | — |  |  | — |  |  | (3,191) |  |  | (3,191) |  |
| Total foreign exchange gains |  | 10 |  |  | — |  |  | — |  |  | 10 |  |
| Purchases |  | 20,962 |  |  | — |  |  | (2,012) |  |  | 18,950 |  |
| Sales |  | (10,137) |  |  | — |  |  | — |  |  | (10,137) |  |
| Settlements |  | — |  |  | — |  |  | (5,739) |  |  | (5,739) |  |
| Balance - December 31, 2020 |  | $ | 79,807 |  |  | $ | — |  |  | $ | (6,211) |  |  | $ | 73,596 |  |
Schedule of Assets and Liabilities Measured at Fair Value an a Recurring Basis Using Level 3 Inputs | Below is a reconciliation of the beginning and ending balances, for the periods shown, of assets and liabilities measured at fair value on a recurring basis using Level 3 inputs. Interest and dividend income are included in net investment income and are excluded from the reconciliation.
|  |  |  | Other Investments |  | Other Assets and (Liabilities) |  | Total |
|  |  |  | Direct private equity investments |  | Term loans |  |  |  |  |
| Balance - January 1, 2021 |  |  | $ | 79,807 |  |  | $ | — |  |  | $ | (6,211) |  |  | $ | 73,596 |  |
| Total realized and unrealized gains (losses) |  |  |  |  |  |  |  |  |  |
| Included in net realized and unrealized gains (losses) on investments |  |  | (159) |  |  | — |  |  | — |  |  | (159) |  |
| Included in other income |  |  | — |  |  | — |  |  | 2,624 |  |  | 2,624 |  |
| Total foreign exchange gains |  |  | (3) |  |  | — |  |  | — |  |  | (3) |  |
| Purchases |  |  | 9,676 |  |  | 74,850 |  |  | (1,140) |  |  | 83,386 |  |
| Sales |  |  | (948) |  |  | — |  |  | — |  |  | (948) |  |
| Settlements |  |  | — |  |  | — |  |  | — |  |  | — |  |
| Balance - December 31, 2021 |  |  | $ | 88,373 |  |  | $ | 74,850 |  |  | $ | (4,727) |  |  | $ | 158,496 |  |
|  |  | Other Investments |  | Other Assets and (Liabilities) |  | Total |
|  |  | Direct private equity investments |  | Term loans |  |  |  |  |
| Balance - January 1, 2020 |  | $ | 74,634 |  |  | $ | — |  |  | $ | 4,731 |  |  | $ | 79,365 |  |
| Total realized and unrealized gains (losses) |  |  |  |  |  |  |  |  |
| Included in net realized and unrealized gains (losses) on investments |  | (5,662) |  |  | — |  |  | — |  |  | (5,662) |  |
| Included in other income |  | — |  |  | — |  |  | (3,191) |  |  | (3,191) |  |
| Total foreign exchange gains |  | 10 |  |  | — |  |  | — |  |  | 10 |  |
| Purchases |  | 20,962 |  |  | — |  |  | (2,012) |  |  | 18,950 |  |
| Sales |  | (10,137) |  |  | — |  |  | — |  |  | (10,137) |  |
| Settlements |  | — |  |  | — |  |  | (5,739) |  |  | (5,739) |  |
| Balance - December 31, 2020 |  | $ | 79,807 |  |  | $ | — |  |  | $ | (6,211) |  |  | $ | 73,596 |  |
Schedule of the Balances the Company has Elected to Account for at Fair Value | Below is a summary of the balances the Company has elected to account for at fair value:
| At December 31, | 2021 |  | 2020 |
| Other investments | $ | 1,993,059 |  |  | $ | 1,256,948 |  |
| Other assets | $ | 6,100 |  |  | $ | 8,982 |  |
| Other liabilities | $ | 10,827 |  |  | $ | 15,193 |  |
Schedule of Other Investments Measured Using Net Asset Valuations | The table below shows the Company’s portfolio of other investments measured using net asset valuations as a practical expedient:
| At December 31, 2021 | Fair Value |  | Unfunded Commitments |  | Redemption Frequency |  | Redemption Notice Period (Minimum Days) |  | Redemption Notice Period (Maximum Days) |
| Private equity funds | $ | 241,297 |  |  | $ | 458,566 |  |  | See below |  | See below |  | See below |
| Private credit funds | 473,112 |  |  | 868,571 |  |  | See below |  | See below |  | See below |
| Hedge funds | 11,394 |  |  | — |  |  | See below |  | See below |  | See below |
| Total other investments measured using net asset valuations | $ | 725,803 |  |  | $ | 1,327,137 |  |  |  |  |  |  |  |
| At December 31, 2020 | Fair Value |  | Unfunded Commitments |  | Redemption Frequency |  | Redemption Notice Period (Minimum Days) |  | Redemption Notice Period (Maximum Days) |
| Private equity funds | $ | 140,743 |  |  | $ | 286,893 |  |  | See below |  | See below |  | See below |
| Private credit funds | 144,556 |  |  | 692,425 |  |  | See below |  | See below |  | See below |
| Hedge funds | 10,553 |  |  | — |  |  | See below |  | See below |  | See below |
| Total other investments measured using net asset valuations | $ | 295,852 |  |  | $ | 979,318 |  |  |  |  |  |  |  |
Schedule of Variable Interest Entities | The following table summarizes the aggregate carrying amount of the unconsolidated fund investments in VIEs, as well as our maximum exposure to loss associated with these VIEs:
|  | Maximum Exposure to Loss
| At December 31, 2021 | Carrying amount |  | Unfunded Commitments |  | Total
| Other investments | $ | 539,866 |  |  | $ | 1,282,451 |  |  | $ | 1,822,317 |
| At December 31, 2020 |  |  |  |  |
| Other investments | $ | 240,058 |  |  | $ | 659,119 |  |  | $ | 899,177 |

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- Definition Tabular disclosure of the fair value measurement of liabilities using significant unobservable inputs (Level 3), a reconciliation of the beginning and ending balances, separately presenting changes attributable to the following: (1) total gains or losses for the period (realized and unrealized), segregating those gains or losses included in earnings (or changes in net assets), and gains or losses recognized in other comprehensive income (loss) and a description of where those gains or losses included in earnings (or changes in net assets) are reported in the statement of income (or activities); (2) purchases, sales, issues, and settlements (each type disclosed separately); and (3) transfers in and transfers out of Level 3 (for example, transfers due to changes in the observability of significant inputs) by class of liability. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 820 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=123874694&loc=d3e19207-110258 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 820 -SubTopic 10 -Section 50 -Paragraph 3 -URI http://asc.fasb.org/extlink&oid=123874694&loc=d3e19279-110258 + Details
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- Definition The entire disclosure of the fair value measurement of assets and liabilities, which includes financial instruments measured at fair value that are classified in shareholders' equity, which may be measured on a recurring or nonrecurring basis. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 820 -URI http://asc.fasb.org/topic&trid=2155941 + Details
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- Definition Tabular disclosure of assets and liabilities, including [financial] instruments measured at fair value that are classified in stockholders' equity, if any, that are measured at fair value on a recurring basis. The disclosures contemplated herein include the fair value measurements at the reporting date by the level within the fair value hierarchy in which the fair value measurements in their entirety fall, segregating fair value measurements using quoted prices in active markets for identical assets (Level 1), significant other observable inputs (Level 2), and significant unobservable inputs (Level 3). + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 820 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (b) -URI http://asc.fasb.org/extlink&oid=123874694&loc=d3e19207-110258 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 820 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=123874694&loc=d3e19207-110258 + Details
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- Definition Tabular disclosure of the significant judgments and assumptions made in determining whether a variable interest (as defined) held by the entity requires the variable interest entity (VIE) (as defined) to be consolidated and (or) disclose information about its involvement with the VIE, individually or in aggregate (as applicable); the nature of restrictions, if any, on the consolidated VIE's assets and on the settlement of its liabilities reported by an entity in its statement of financial position, including the carrying amounts of such assets and liabilities; the nature of, and changes in, the risks associated with involvement in the VIE; how involvement with the VIE affects the entity's financial position, financial performance, and cash flows; the lack of recourse if creditors (or beneficial interest holders) of the consolidated VIE have no recourse to the general credit of the primary beneficiary (if applicable); the terms of arrangements, giving consideration to both explicit arrangements and implicit variable interests, if any, that could require the entity to provide financial support to the VIE, including events or circumstances that could expose the entity to a loss; the methodology used by the entity for determining whether or not it is the primary beneficiary of the variable interest entity; the significant factors considered and judgments made in determining that the power to direct the activities of a VIE that most significantly impact the VIE's economic performance are shared (as defined); the carrying amounts and classification of assets and liabilities of the VIE included in the statement of financial position; the entity's maximum exposure to loss, if any, as a result of its involvement with the VIE, including how the maximum exposure is determined and significant sources of the entity's exposure to the VIE; a comparison of the carrying amounts of the assets and liabilities and the entity's maximum exposure to loss; information about any liquidity arrangements, guarantees, and (or) other commitments by third parties that may affect the fair value or risk of the entity's variable interest in the VIE; whether or not the entity has provided financial support or other support (explicitly or implicitly) to the VIE that it was not previously contractually required to provide or whether the entity intends to provide that support, including the type and amount of the support and the primary reasons for providing the support; and supplemental information the entity determines necessary to provide. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 50 -Paragraph 5A -URI http://asc.fasb.org/extlink&oid=123419778&loc=SL6759159-111685 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 50 -Paragraph 6 -URI http://asc.fasb.org/extlink&oid=123419778&loc=d3e5747-111685 Reference 3: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 50 -Paragraph 9 -URI http://asc.fasb.org/extlink&oid=123419778&loc=SL6228884-111685 Reference 4: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 50 -Paragraph 3 -URI http://asc.fasb.org/extlink&oid=123419778&loc=d3e5710-111685 Reference 5: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 810 -SubTopic 10 -Section 50 -Paragraph 4 -URI http://asc.fasb.org/extlink&oid=123419778&loc=d3e5728-111685 + Details
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