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Adjective: triumphal  trI'úm-ful
  1. Joyful and proud especially because of triumph or success
    "a triumphal success";
    - exultant, exulting, jubilant, prideful, rejoicing, triumphant
  2. Relating to or celebrating a triumph
    "a triumphal procession"; "a triumphal arch"

See also: elated