奇妙的加法

王守恩

401. {4+7+10+22+25+28} = {36+39+42}
402. {4+7+11+21+25+28} = {36+39+43}
403. {4+7+12+20+25+28} = {36+39+44}
404. {4+7+13+19+25+28} = {36+39+45}
405. {4+7+14+18+25+28} = {36+39+46}
406. {4+7+15+17+25+28} = {36+39+47}
407. {4+7+16+16+25+28} = {36+39+48}
408. {4+8+8+24+24+28} = {36+40+40}
409. {4+8+9+23+24+28} = {36+40+41}
410. {4+8+10+22+24+28} = {36+40+42}
411. {4+8+11+21+24+28} = {36+40+43}
412. {4+8+12+20+24+28} = {36+40+44}
413. {4+8+13+19+24+28} = {36+40+45}
414. {4+8+14+18+24+28} = {36+40+46}
415. {4+8+15+17+24+28} = {36+40+47}
416. {4+8+16+16+24+28} = {36+40+48}
417. {4+9+9+23+23+28} = {36+41+41}
418. {4+9+10+22+23+28} = {36+41+42}
419. {4+9+11+21+23+28} = {36+41+43}
420. {4+9+12+20+23+28} = {36+41+44}
421. {4+9+13+19+23+28} = {36+41+45}
422. {4+9+14+18+23+28} = {36+41+46}
423. {4+9+15+17+23+28} = {36+41+47}
424. {4+9+16+16+23+28} = {36+41+48}
425. {4+10+10+22+22+28} = {36+42+42}
426. {4+10+11+21+22+28} = {36+42+43}
427. {4+10+12+20+22+28} = {36+42+44}
428. {4+10+13+19+22+28} = {36+42+45}
429. {4+10+14+18+22+28} = {36+42+46}
430. {4+10+15+17+22+28} = {36+42+47}
431. {4+10+16+16+22+28} = {36+42+48}
432. {4+11+11+21+21+28} = {36+43+43}
433. {4+11+12+20+21+28} = {36+43+44}
434. {4+11+13+19+21+28} = {36+43+45}
435. {4+11+14+18+21+28} = {36+43+46}
436. {4+11+15+17+21+28} = {36+43+47}
437. {4+11+16+16+21+28} = {36+43+48}
438. {4+12+12+20+20+28} = {36+44+44}
439. {4+12+13+19+20+28} = {36+44+45}
440. {4+12+14+18+20+28} = {36+44+46}
441. {4+12+15+17+20+28} = {36+44+47}
442. {4+12+16+16+20+28} = {36+44+48}
443. {4+13+13+19+19+28} = {36+45+45}
444. {4+13+14+18+19+28} = {36+45+46}
445. {4+13+15+17+19+28} = {36+45+47}
446. {4+13+16+16+19+28} = {36+45+48}
447. {4+14+14+18+18+28} = {36+46+46}
448. {4+14+15+17+18+28} = {36+46+47}
449. {4+14+16+16+18+28} = {36+46+48}
450. {4+15+15+17+17+28} = {36+47+47}
451. {4+15+16+16+17+28} = {36+47+48}
452. {4+16+16+16+16+28} = {36+48+48}
453. {5+5+5+27+27+27} = {37+37+37}
454. {5+5+6+26+27+27} = {37+37+38}
455. {5+5+7+25+27+27} = {37+37+39}
456. {5+5+8+24+27+27} = {37+37+40}
457. {5+5+9+23+27+27} = {37+37+41}
458. {5+5+10+22+27+27} = {37+37+42}
459. {5+5+11+21+27+27} = {37+37+43}
460. {5+5+12+20+27+27} = {37+37+44}
461. {5+5+13+19+27+27} = {37+37+45}
462. {5+5+14+18+27+27} = {37+37+46}
463. {5+5+15+17+27+27} = {37+37+47}
464. {5+5+16+16+27+27} = {37+37+48}
465. {5+6+6+26+26+27} = {37+38+38}
466. {5+6+7+25+26+27} = {37+38+39}
467. {5+6+8+24+26+27} = {37+38+40}
468. {5+6+9+23+26+27} = {37+38+41}
469. {5+6+10+22+26+27} = {37+38+42}
470. {5+6+11+21+26+27} = {37+38+43}
471. {5+6+12+20+26+27} = {37+38+44}
472. {5+6+13+19+26+27} = {37+38+45}
473. {5+6+14+18+26+27} = {37+38+46}
474. {5+6+15+17+26+27} = {37+38+47}
475. {5+6+16+16+26+27} = {37+38+48}
476. {5+7+7+25+25+27} = {37+39+39}
477. {5+7+8+24+25+27} = {37+39+40}
478. {5+7+9+23+25+27} = {37+39+41}
479. {5+7+10+22+25+27} = {37+39+42}
480. {5+7+11+21+25+27} = {37+39+43}
481. {5+7+12+20+25+27} = {37+39+44}
482. {5+7+13+19+25+27} = {37+39+45}
483. {5+7+14+18+25+27} = {37+39+46}
484. {5+7+15+17+25+27} = {37+39+47}
485. {5+7+16+16+25+27} = {37+39+48}
486. {5+8+8+24+24+27} = {37+40+40}
487. {5+8+9+23+24+27} = {37+40+41}
488. {5+8+10+22+24+27} = {37+40+42}
489. {5+8+11+21+24+27} = {37+40+43}
490. {5+8+12+20+24+27} = {37+40+44}
491. {5+8+13+19+24+27} = {37+40+45}
492. {5+8+14+18+24+27} = {37+40+46}
493. {5+8+15+17+24+27} = {37+40+47}
494. {5+8+16+16+24+27} = {37+40+48}
495. {5+9+9+23+23+27} = {37+41+41}
496. {5+9+10+22+23+27} = {37+41+42}
497. {5+9+11+21+23+27} = {37+41+43}
498. {5+9+12+20+23+27} = {37+41+44}
499. {5+9+13+19+23+27} = {37+41+45}
500. {5+9+14+18+23+27} = {37+41+46}
501. {5+9+15+17+23+27} = {37+41+47}
502. {5+9+16+16+23+27} = {37+41+48}
503. {5+10+10+22+22+27} = {37+42+42}
504. {5+10+11+21+22+27} = {37+42+43}
505. {5+10+12+20+22+27} = {37+42+44}
506. {5+10+13+19+22+27} = {37+42+45}
507. {5+10+14+18+22+27} = {37+42+46}
508. {5+10+15+17+22+27} = {37+42+47}
509. {5+10+16+16+22+27} = {37+42+48}
510. {5+11+11+21+21+27} = {37+43+43}
511. {5+11+12+20+21+27} = {37+43+44}
512. {5+11+13+19+21+27} = {37+43+45}
513. {5+11+14+18+21+27} = {37+43+46}
514. {5+11+15+17+21+27} = {37+43+47}
515. {5+11+16+16+21+27} = {37+43+48}
516. {5+12+12+20+20+27} = {37+44+44}
517. {5+12+13+19+20+27} = {37+44+45}
518. {5+12+14+18+20+27} = {37+44+46}
519. {5+12+15+17+20+27} = {37+44+47}
520. {5+12+16+16+20+27} = {37+44+48}
521. {5+13+13+19+19+27} = {37+45+45}
522. {5+13+14+18+19+27} = {37+45+46}
523. {5+13+15+17+19+27} = {37+45+47}
524. {5+13+16+16+19+27} = {37+45+48}
525. {5+14+14+18+18+27} = {37+46+46}
526. {5+14+15+17+18+27} = {37+46+47}
527. {5+14+16+16+18+27} = {37+46+48}
528. {5+15+15+17+17+27} = {37+47+47}
529. {5+15+16+16+17+27} = {37+47+48}
530. {5+16+16+16+16+27} = {37+48+48}
531. {6+6+6+26+26+26} = {38+38+38}
532. {6+6+7+25+26+26} = {38+38+39}
533. {6+6+8+24+26+26} = {38+38+40}
534. {6+6+9+23+26+26} = {38+38+41}
535. {6+6+10+22+26+26} = {38+38+42}
536. {6+6+11+21+26+26} = {38+38+43}
537. {6+6+12+20+26+26} = {38+38+44}
538. {6+6+13+19+26+26} = {38+38+45}
539. {6+6+14+18+26+26} = {38+38+46}
540. {6+6+15+17+26+26} = {38+38+47}
541. {6+6+16+16+26+26} = {38+38+48}
542. {6+7+7+25+25+26} = {38+39+39}
543. {6+7+8+24+25+26} = {38+39+40}
544. {6+7+9+23+25+26} = {38+39+41}
545. {6+7+10+22+25+26} = {38+39+42}
546. {6+7+11+21+25+26} = {38+39+43}
547. {6+7+12+20+25+26} = {38+39+44}
548. {6+7+13+19+25+26} = {38+39+45}
549. {6+7+14+18+25+26} = {38+39+46}
550. {6+7+15+17+25+26} = {38+39+47}
551. {6+7+16+16+25+26} = {38+39+48}
552. {6+8+8+24+24+26} = {38+40+40}
553. {6+8+9+23+24+26} = {38+40+41}
554. {6+8+10+22+24+26} = {38+40+42}
555. {6+8+11+21+24+26} = {38+40+43}
556. {6+8+12+20+24+26} = {38+40+44}
557. {6+8+13+19+24+26} = {38+40+45}
558. {6+8+14+18+24+26} = {38+40+46}
559. {6+8+15+17+24+26} = {38+40+47}
560. {6+8+16+16+24+26} = {38+40+48}
561. {6+9+9+23+23+26} = {38+41+41}
562. {6+9+10+22+23+26} = {38+41+42}
563. {6+9+11+21+23+26} = {38+41+43}
564. {6+9+12+20+23+26} = {38+41+44}
565. {6+9+13+19+23+26} = {38+41+45}
566. {6+9+14+18+23+26} = {38+41+46}
567. {6+9+15+17+23+26} = {38+41+47}
568. {6+9+16+16+23+26} = {38+41+48}
569. {6+10+10+22+22+26} = {38+42+42}
570. {6+10+11+21+22+26} = {38+42+43}
571. {6+10+12+20+22+26} = {38+42+44}
572. {6+10+13+19+22+26} = {38+42+45}
573. {6+10+14+18+22+26} = {38+42+46}
574. {6+10+15+17+22+26} = {38+42+47}
575. {6+10+16+16+22+26} = {38+42+48}
576. {6+11+11+21+21+26} = {38+43+43}
577. {6+11+12+20+21+26} = {38+43+44}
578. {6+11+13+19+21+26} = {38+43+45}
579. {6+11+14+18+21+26} = {38+43+46}
580. {6+11+15+17+21+26} = {38+43+47}
581. {6+11+16+16+21+26} = {38+43+48}
582. {6+12+12+20+20+26} = {38+44+44}
583. {6+12+13+19+20+26} = {38+44+45}
584. {6+12+14+18+20+26} = {38+44+46}
585. {6+12+15+17+20+26} = {38+44+47}
586. {6+12+16+16+20+26} = {38+44+48}
587. {6+13+13+19+19+26} = {38+45+45}
588. {6+13+14+18+19+26} = {38+45+46}
589. {6+13+15+17+19+26} = {38+45+47}
590. {6+13+16+16+19+26} = {38+45+48}
591. {6+14+14+18+18+26} = {38+46+46}
592. {6+14+15+17+18+26} = {38+46+47}
593. {6+14+16+16+18+26} = {38+46+48}
594. {6+15+15+17+17+26} = {38+47+47}
595. {6+15+16+16+17+26} = {38+47+48}
596. {6+16+16+16+16+26} = {38+48+48}
597. {7+7+7+25+25+25} = {39+39+39}
598. {7+7+8+24+25+25} = {39+39+40}
599. {7+7+9+23+25+25} = {39+39+41}
600. {7+7+10+22+25+25} = {39+39+42}
601. {7+7+11+21+25+25} = {39+39+43}
602. {7+7+12+20+25+25} = {39+39+44}
603. {7+7+13+19+25+25} = {39+39+45}
604. {7+7+14+18+25+25} = {39+39+46}
605. {7+7+15+17+25+25} = {39+39+47}
606. {7+7+16+16+25+25} = {39+39+48}
607. {7+8+8+24+24+25} = {39+40+40}
608. {7+8+9+23+24+25} = {39+40+41}
609. {7+8+10+22+24+25} = {39+40+42}
610. {7+8+11+21+24+25} = {39+40+43}
611. {7+8+12+20+24+25} = {39+40+44}
612. {7+8+13+19+24+25} = {39+40+45}
613. {7+8+14+18+24+25} = {39+40+46}
614. {7+8+15+17+24+25} = {39+40+47}
615. {7+8+16+16+24+25} = {39+40+48}
616. {7+9+9+23+23+25} = {39+41+41}
617. {7+9+10+22+23+25} = {39+41+42}
618. {7+9+11+21+23+25} = {39+41+43}
619. {7+9+12+20+23+25} = {39+41+44}
620. {7+9+13+19+23+25} = {39+41+45}
621. {7+9+14+18+23+25} = {39+41+46}
622. {7+9+15+17+23+25} = {39+41+47}
623. {7+9+16+16+23+25} = {39+41+48}
624. {7+10+10+22+22+25} = {39+42+42}
625. {7+10+11+21+22+25} = {39+42+43}
626. {7+10+12+20+22+25} = {39+42+44}
627. {7+10+13+19+22+25} = {39+42+45}
628. {7+10+14+18+22+25} = {39+42+46}
629. {7+10+15+17+22+25} = {39+42+47}
630. {7+10+16+16+22+25} = {39+42+48}
631. {7+11+11+21+21+25} = {39+43+43}
632. {7+11+12+20+21+25} = {39+43+44}
633. {7+11+13+19+21+25} = {39+43+45}
634. {7+11+14+18+21+25} = {39+43+46}
635. {7+11+15+17+21+25} = {39+43+47}
636. {7+11+16+16+21+25} = {39+43+48}
637. {7+12+12+20+20+25} = {39+44+44}
638. {7+12+13+19+20+25} = {39+44+45}
639. {7+12+14+18+20+25} = {39+44+46}
640. {7+12+15+17+20+25} = {39+44+47}
641. {7+12+16+16+20+25} = {39+44+48}
642. {7+13+13+19+19+25} = {39+45+45}
643. {7+13+14+18+19+25} = {39+45+46}
644. {7+13+15+17+19+25} = {39+45+47}
645. {7+13+16+16+19+25} = {39+45+48}
646. {7+14+14+18+18+25} = {39+46+46}
647. {7+14+15+17+18+25} = {39+46+47}
648. {7+14+16+16+18+25} = {39+46+48}
649. {7+15+15+17+17+25} = {39+47+47}
650. {7+15+16+16+17+25} = {39+47+48}
651. {7+16+16+16+16+25} = {39+48+48}
652. {8+8+8+24+24+24} = {40+40+40}
653. {8+8+9+23+24+24} = {40+40+41}
654. {8+8+10+22+24+24} = {40+40+42}
655. {8+8+11+21+24+24} = {40+40+43}
656. {8+8+12+20+24+24} = {40+40+44}
657. {8+8+13+19+24+24} = {40+40+45}
658. {8+8+14+18+24+24} = {40+40+46}
659. {8+8+15+17+24+24} = {40+40+47}
660. {8+8+16+16+24+24} = {40+40+48}
661. {8+9+9+23+23+24} = {40+41+41}
662. {8+9+10+22+23+24} = {40+41+42}
663. {8+9+11+21+23+24} = {40+41+43}
664. {8+9+12+20+23+24} = {40+41+44}
665. {8+9+13+19+23+24} = {40+41+45}
666. {8+9+14+18+23+24} = {40+41+46}
667. {8+9+15+17+23+24} = {40+41+47}
668. {8+9+16+16+23+24} = {40+41+48}
669. {8+10+10+22+22+24} = {40+42+42}
670. {8+10+11+21+22+24} = {40+42+43}
671. {8+10+12+20+22+24} = {40+42+44}
672. {8+10+13+19+22+24} = {40+42+45}
673. {8+10+14+18+22+24} = {40+42+46}
674. {8+10+15+17+22+24} = {40+42+47}
675. {8+10+16+16+22+24} = {40+42+48}
676. {8+11+11+21+21+24} = {40+43+43}
677. {8+11+12+20+21+24} = {40+43+44}
678. {8+11+13+19+21+24} = {40+43+45}
679. {8+11+14+18+21+24} = {40+43+46}
680. {8+11+15+17+21+24} = {40+43+47}
681. {8+11+16+16+21+24} = {40+43+48}
682. {8+12+12+20+20+24} = {40+44+44}
683. {8+12+13+19+20+24} = {40+44+45}
684. {8+12+14+18+20+24} = {40+44+46}
685. {8+12+15+17+20+24} = {40+44+47}
686. {8+12+16+16+20+24} = {40+44+48}
687. {8+13+13+19+19+24} = {40+45+45}
688. {8+13+14+18+19+24} = {40+45+46}
689. {8+13+15+17+19+24} = {40+45+47}
690. {8+13+16+16+19+24} = {40+45+48}
691. {8+14+14+18+18+24} = {40+46+46}
692. {8+14+15+17+18+24} = {40+46+47}
693. {8+14+16+16+18+24} = {40+46+48}
694. {8+15+15+17+17+24} = {40+47+47}
695. {8+15+16+16+17+24} = {40+47+48}
696. {8+16+16+16+16+24} = {40+48+48}
697. {9+9+9+23+23+23} = {41+41+41}
698. {9+9+10+22+23+23} = {41+41+42}
699. {9+9+11+21+23+23} = {41+41+43}
700. {9+9+12+20+23+23} = {41+41+44}
701. {9+9+13+19+23+23} = {41+41+45}
702. {9+9+14+18+23+23} = {41+41+46}
703. {9+9+15+17+23+23} = {41+41+47}
704. {9+9+16+16+23+23} = {41+41+48}
705. {9+10+10+22+22+23} = {41+42+42}
706. {9+10+11+21+22+23} = {41+42+43}
707. {9+10+12+20+22+23} = {41+42+44}
708. {9+10+13+19+22+23} = {41+42+45}
709. {9+10+14+18+22+23} = {41+42+46}
710. {9+10+15+17+22+23} = {41+42+47}
711. {9+10+16+16+22+23} = {41+42+48}
712. {9+11+11+21+21+23} = {41+43+43}
713. {9+11+12+20+21+23} = {41+43+44}
714. {9+11+13+19+21+23} = {41+43+45}
715. {9+11+14+18+21+23} = {41+43+46}
716. {9+11+15+17+21+23} = {41+43+47}
717. {9+11+16+16+21+23} = {41+43+48}
718. {9+12+12+20+20+23} = {41+44+44}
719. {9+12+13+19+20+23} = {41+44+45}
720. {9+12+14+18+20+23} = {41+44+46}
721. {9+12+15+17+20+23} = {41+44+47}
722. {9+12+16+16+20+23} = {41+44+48}
723. {9+13+13+19+19+23} = {41+45+45}
724. {9+13+14+18+19+23} = {41+45+46}
725. {9+13+15+17+19+23} = {41+45+47}
726. {9+13+16+16+19+23} = {41+45+48}
727. {9+14+14+18+18+23} = {41+46+46}
728. {9+14+15+17+18+23} = {41+46+47}
729. {9+14+16+16+18+23} = {41+46+48}
730. {9+15+15+17+17+23} = {41+47+47}
731. {9+15+16+16+17+23} = {41+47+48}
732. {9+16+16+16+16+23} = {41+48+48}
733. {10+10+10+22+22+22} = {42+42+42}
734. {10+10+11+21+22+22} = {42+42+43}
735. {10+10+12+20+22+22} = {42+42+44}
736. {10+10+13+19+22+22} = {42+42+45}
737. {10+10+14+18+22+22} = {42+42+46}
738. {10+10+15+17+22+22} = {42+42+47}
739. {10+10+16+16+22+22} = {42+42+48}
740. {10+11+11+21+21+22} = {42+43+43}
741. {10+11+12+20+21+22} = {42+43+44}
742. {10+11+13+19+21+22} = {42+43+45}
743. {10+11+14+18+21+22} = {42+43+46}
744. {10+11+15+17+21+22} = {42+43+47}
745. {10+11+16+16+21+22} = {42+43+48}
746. {10+12+12+20+20+22} = {42+44+44}
747. {10+12+13+19+20+22} = {42+44+45}
748. {10+12+14+18+20+22} = {42+44+46}
749. {10+12+15+17+20+22} = {42+44+47}
750. {10+12+16+16+20+22} = {42+44+48}
751. {10+13+13+19+19+22} = {42+45+45}
752. {10+13+14+18+19+22} = {42+45+46}
753. {10+13+15+17+19+22} = {42+45+47}
754. {10+13+16+16+19+22} = {42+45+48}
755. {10+14+14+18+18+22} = {42+46+46}
756. {10+14+15+17+18+22} = {42+46+47}
757. {10+14+16+16+18+22} = {42+46+48}
758. {10+15+15+17+17+22} = {42+47+47}
759. {10+15+16+16+17+22} = {42+47+48}
760. {10+16+16+16+16+22} = {42+48+48}
761. {11+11+11+21+21+21} = {43+43+43}
762. {11+11+12+20+21+21} = {43+43+44}
763. {11+11+13+19+21+21} = {43+43+45}
764. {11+11+14+18+21+21} = {43+43+46}
765. {11+11+15+17+21+21} = {43+43+47}
766. {11+11+16+16+21+21} = {43+43+48}
767. {11+12+12+20+20+21} = {43+44+44}
768. {11+12+13+19+20+21} = {43+44+45}
769. {11+12+14+18+20+21} = {43+44+46}
770. {11+12+15+17+20+21} = {43+44+47}
771. {11+12+16+16+20+21} = {43+44+48}
772. {11+13+13+19+19+21} = {43+45+45}
773. {11+13+14+18+19+21} = {43+45+46}
774. {11+13+15+17+19+21} = {43+45+47}
775. {11+13+16+16+19+21} = {43+45+48}
776. {11+14+14+18+18+21} = {43+46+46}
777. {11+14+15+17+18+21} = {43+46+47}
778. {11+14+16+16+18+21} = {43+46+48}
779. {11+15+15+17+17+21} = {43+47+47}
780. {11+15+16+16+17+21} = {43+47+48}
781. {11+16+16+16+16+21} = {43+48+48}
782. {12+12+12+20+20+20} = {44+44+44}
783. {12+12+13+19+20+20} = {44+44+45}
784. {12+12+14+18+20+20} = {44+44+46}
785. {12+12+15+17+20+20} = {44+44+47}
786. {12+12+16+16+20+20} = {44+44+48}
787. {12+13+13+19+19+20} = {44+45+45}
788. {12+13+14+18+19+20} = {44+45+46}
789. {12+13+15+17+19+20} = {44+45+47}
790. {12+13+16+16+19+20} = {44+45+48}
791. {12+14+14+18+18+20} = {44+46+46}
792. {12+14+15+17+18+20} = {44+46+47}
793. {12+14+16+16+18+20} = {44+46+48}
794. {12+15+15+17+17+20} = {44+47+47}
795. {12+15+16+16+17+20} = {44+47+48}
796. {12+16+16+16+16+20} = {44+48+48}
797. {13+13+13+19+19+19} = {45+45+45}
798. {13+13+14+18+19+19} = {45+45+46}
799. {13+13+15+17+19+19} = {45+45+47}
800. {13+13+16+16+19+19} = {45+45+48}
801. {13+14+14+18+18+19} = {45+46+46}
802. {13+14+15+17+18+19} = {45+46+47}
803. {13+14+16+16+18+19} = {45+46+48}
804. {13+15+15+17+17+19} = {45+47+47}
805. {13+15+16+16+17+19} = {45+47+48}
806. {13+16+16+16+16+19} = {45+48+48}
807. {14+14+14+18+18+18} = {46+46+46}
808. {14+14+15+17+18+18} = {46+46+47}
809. {14+14+16+16+18+18} = {46+46+48}
810. {14+15+15+17+17+18} = {46+47+47}
811. {14+15+16+16+17+18} = {46+47+48}
812. {14+16+16+16+16+18} = {46+48+48}
813. {15+15+15+17+17+17} = {47+47+47}
814. {15+15+16+16+17+17} = {47+47+48}
815. {15+16+16+16+16+17} = {47+48+48}
816. {16+16+16+16+16+16} = {48+48+48}

往往下电脑来不了了——人脑可以！你会了吗？

王守恩

好玩！好玩！！好玩！！！

4 个数的基础解只有这 4 个！！！——3 个数的基础解可以有很多。5, 6, 7, 8, 9, ... 个数的基础解也可以有很多。

第1基础解,  \(\sin(3\pi/30)+\sin(15\pi/30)=\sin(5\pi/30)+\sin(9\pi/30)\)

第2基础解,  \(\sin(5\pi/30)+\sin(13\pi/30)=\sin(7\pi/30)+\sin(9\pi/30)\)

第3基础解,  \(\sin(3\pi/42)+\sin(15\pi/42)=\sin(7\pi/42)+\sin(9\pi/42)\)

第4基础解,  \(\sin(1\pi/30)+\sin(3\pi/30)+\sin(5\pi/30)=\sin(11\pi/30)\)

约定同前。——两边 sin(分子*π/分母) 和相等。

分母(正整数)相同 = n,   1 ≤ 分子(正整数) ≤ Floor[n/2]。GCD(4个数) = 1。

左边角度 ≠ 右边角度。左边角度可以相同。右边角度可以相同。左边的个数 ≥ 右边的个数。左边的个数 = 右边的个数时,左边第1个角度 ＜ 右边第1个角度。

王守恩

把3个数的解数与具体解贴上来。
03: 0,
06: 1, 1+1=3,——sin[1*π/6]+sin[1*π/6]=sin[3*π/6]
09: 1, 1+2=4,——sin[1*π/9]+sin[2*π/9]=sin[4*π/9]
12: 2, 1+3=5,2+2=6,——sin[1*π/12]+sin[3*π/12]=sin[3*π/12], sin[2*π/12]+sin[2*π/12]=sin[6*π/12]
15: 2, 1+4=6,2+3=7,——sin[1*π/15]+sin[4*π/15]=sin[5*π/15], sin[2*π/15]+sin[3*π/15]=sin[7*π/15]
18: 3, 1+5=7,2+4=8,3+3=9,
21: 3, 1+6=8,2+5=9,3+4=10,
24: 4, 1+7=9,2+6=10,3+5=11,4+4=12,
27: 4, 1+8=10,2+7=11,3+6=12,4+5=13
30: 6, 1+9=11,2+8=12,3+7=13,4+6=14,5+5=15,3+5=9,
33: 5, 1+10=12,2+9=13,3+8=14,4+7=15,5+6=16,
36: 6, 1+11=13,2+10=14,3+9=15,4+8=16,5+7=17,6+6=18,
39: 6, 1+12=14,2+11=15,3+10=16,4+9=17,5+8=18,6+7=19,
42: 7, 1+13=15,2+12=16,3+11=17,4+10=18,5+9=19,6+8=20,7+7=21,
45: 7, 1+14=16,2+13=17,3+12=18,4+11=19,5+10=20,6+9=21,7+8=22,
48: 8, 1+15=17,2+14=18,3+13=19,4+12=20,5+11=21,6+10=22,7+9=23,8+8=24,
51: 8, 1+16=18,2+15=19,3+14=20,4+13=21,5+12=22,6+11=23,7+10=24,8+9=25,
54: 9, 1+17=19,2+16=20,3+15=21,4+14=22,5+13=23,6+12=24,7+11=25,8+10=26,9+9=27,
57: 9, 1+18=20,2+17=21,3+16=22,4+15=23,5+14=24,6+13=25,7+12=26,8+11=27,9+10=28,
60: 11, 1+19=21,2+18=22,3+17=23,4+16=24,5+15=25,6+14=26,7+13=27,8+12=28,9+11=29,10+10=30,6+10=18,
63: 10, 1+20=22,2+19=23,3+18=24,4+17=25,5+16=26,6+15=27,7+14=28,8+13=29,9+12=30,10+11=31,
66: 11, 1+21=23,2+20=24,3+19=25,4+18=26,5+17=27,6+16=28,7+15=29,8+14=30,9+13=31,10+12=32,11+11=33,
69: 11, 1+22=24,2+21=25,3+20=26,4+19=27,5+18=28,6+17=29,7+16=30,8+15=31,9+14=32,10+13=33,11+12=34,
72: 12, 1+23=25,2+22=26,3+21=27,4+20=28,5+19=29,6+18=30,7+17=31,8+16=32,9+15=33,10+14=34,11+13=35,12+12=36,
75: 12, 1+24=26,2+23=27,3+22=28,4+21=29,5+20=30,6+19=31,7+18=32,8+17=33,9+16=34,10+15=35,11+14=36,12+13=37,
78: 13, 1+25=27,2+24=28,3+23=29,4+22=30,5+21=31,6+20=32,7+19=33,8+18=34,9+17=35,10+16=36,11+15=37,12+14=38,13+13=39,
81: 13, 1+26=28,2+25=29,3+24=30,4+23=31,5+22=32,6+21=33,7+20=34,8+19=35,9+18=36,10+17=37,11+16=38,12+15=39,13+14=40,
84: 14, 1+27=29,2+26=30,3+25=31,4+24=32,5+23=33,6+22=34,7+21=35,8+20=36,9+19=37,10+18=38,11+17=39,12+16=40,13+15=41,14+14=42,
87: 14, 1+28=30,2+27=31,3+26=32,4+25=33,5+24=34,6+23=35,7+22=36,8+21=37,9+20=38,10+19=39,11+18=40,12+17=41,13+16=42,14+15=43,
90: 16, 1+29=31,2+28=32,3+27=33,4+26=34,5+25=35,6+24=36,7+23=37,8+22=38,9+21=39,10+20=40,11+19=41,12+18=42,13+17=43,14+16=44,15+15=45,9+15=27,
93: 15, 1+30=32,2+29=33,3+28=34,4+27=35,5+26=36,6+25=37,7+24=38,8+23=39,9+22=40,10+21=41,11+20=42,12+19=43,13+18=44,14+17=45,15+16=46,
96: 16, 1+31=33,2+30=34,3+29=35,4+28=36,5+27=37,6+26=38,7+25=39,8+24=40,9+23=41,10+22=42,11+21=43,12+20=44,13+19=45,14+18=46,15+17=47,16+16=48,
99: 16, 1+32=34,2+31=35,3+30=36,4+29=37,5+28=38,6+27=39,7+26=40,8+25=41,9+24=42,10+23=43,11+22=44,12+21=45,13+20=46,14+19=47,15+18=48,16+17=49,

3:0, 6:1, 9:1, 12:2, 15:2, 18:3, 21:3, 24:4, 27:4, 30:6, 33:5, 36:6, 39:6, 42:7, 45:7, 48:8, 51:8, 54:9, 57:9, 60:11, 63:10, 66:11, 69:11, 72:12, 75:12, 78:13, 81:13, 84:14, 87:14, 90:16, 93:15, 96:16, 99:16,
102:17, 105:17, 108:18, 111:18, 114:19, 117:19, 120:21, 123:20, 126:21, 129:21, 132:22, 135:22, 138:23, 141:23, 144:24, 147:24, 150:26, 153:25, 156:26, 159:26, 162:27, 165:27, 168:28, 171:28, 174:29,
177:29, 180:31, 183:30, 186:31, 189:31, 192:32, 195:32, 198:33, 201:33, 204:34, 207:34, 210:36, 213:35, 216:36, 219:36, 222:37, 225:37, 228:38, 231:38, 234:39, 237:39, 240:41, 243:40, 246:41, 249:41,

1. f[n_] := Quotient[n, 6] + If[Mod[n, 30] == 0, 1, 0]; r = {}; Do[AppendTo[r, ToString[n] <> ":" <> ToString[f[n]]], {n, 3, 249, 3}]; Print[StringRiffle[r, ", "]];

复制代码

王守恩

好玩！好玩！！好玩！！！——挑战挑战——来个反例

4 个数的基础解只有这 4 个！！！——3 个数的基础解可以有很多。5, 6, 7, 8, 9, ... 个数的基础解也可以有很多。

第1基础解,  \(\sin(3\pi/30)+\sin(15\pi/30)=\sin(5\pi/30)+\sin(9\pi/30)\)

第2基础解,  \(\sin(5\pi/30)+\sin(13\pi/30)=\sin(7\pi/30)+\sin(9\pi/30)\)

第3基础解,  \(\sin(3\pi/42)+\sin(15\pi/42)=\sin(7\pi/42)+\sin(9\pi/42)\)

第4基础解,  \(\sin(1\pi/30)+\sin(3\pi/30)+\sin(5\pi/30)=\sin(11\pi/30)\)

约定同前。——两边 sin(分子*π/分母) 和相等。

分母(正整数)相同 = n,   1 ≤ 分子(正整数) ≤ Floor[n/2]。GCD(4个数) = 1。

左边角度 ≠ 右边角度。左边角度可以相同。右边角度可以相同。左边的个数 ≥ 右边的个数。左边的个数 = 右边的个数时,左边第1个角度 ＜ 右边第1个角度。

王守恩

把5个数的解数与具体解贴上来。

10: 1, 1+1+5=3+3——sin[1*π/10]+sin[1*π/10]+sin[5*π/10]=sin[3*π/10]+sin[3*π/10]
15: 1, 1+2+7=4+5——sin[1*π/15]+sin[2*π/15]+sin[7*π/15]=sin[4*π/15]+sin[5*π/15]
20: 2, 1+3+9=5+7,2+2+10=6+6,
25: 2, 1+4+11=6+9,2+3+12=7+8,
30: 5, 1+5+13=7+11,2+4+14=8+10,3+3+15=9+9,1+3+15=5+11,5+7+9=13+15,
35: 3, 1+6+15=8+13,2+5+16=9+12,3+4+17=10+11,
40: 4, 1+7+17=9+15,2+6+18=10+14,3+5+19=11+13,4+4+20=12+12,
42: 4, 1+3+13=7+9,3+5+15=7+19,3+7+15=9+21,7+9+11=15+17,
45: 4, 1+8+19=10+17,2+7+20=11+16,3+6+21=12+15,4+5+22=13+14,
50: 5, 1+9+21=11+19,2+8+22=12+18,3+7+23=13+17,4+6+24=14+16,5+5+25=15+15,
55: 5, 1+10+23=12+21,2+9+24=13+20,3+8+25=14+19,4+7+26=15+18,5+6+27=16+17,
60: 8, 1+11+25=13+23,2+10+26=14+22,3+9+27=15+21,4+8+28=16+20,5+7+29=17+19,6+6+30=18+18,2+6+30=10+22,10+14+18=26+30,
65: 6, 1+12+27=14+25,2+11+28=15+24,3+10+29=16+23,4+9+30=17+22,5+8+31=18+21,6+7+32=19+20,
70: 8, 1+13+29=15+27,2+12+30=16+26,3+11+31=17+25,4+10+32=18+24,5+9+33=19+23,6+8+34=20+22,7+7+35=21+21,5n+7+25=15+21,
75: 7, 1+14+31=16+29,2+13+32=17+28,3+12+33=18+27,4+11+34=19+26,5+10+35=20+25,6+9+36=21+24,7+8+37=22+23,
80: 8, 1+15+33=17+31,2+14+34=18+30,3+13+35=19+29,4+12+36=20+28,5+11+37=21+27,6+10+38=22+26,7+9+39=23+25,8+8+40=24+24,
84: 4, 2+6+26=14+18,6+10+30=14+38,6+14+30=18+42,14+18+22=30+34,
85: 8, 1+16+35=18+33,2+15+36=19+32,3+14+37=20+31,4+13+38=21+30,5+12+39=22+29,6+11+40=23+28,7+10+41=24+27,8+9+42=25+26,
90: 11, 1+17+37=19+35,2+16+38=20+34,3+15+39=21+33,4+14+40=22+32,5+13+41=23+31,6+12+42=24+30,7+11+43=25+29,8+10+44=26+28,9+9+45=27+27,3+9+45=15+33,15+21+27=39+45,
95: 9, 1+18+39=20+37,2+17+40=21+36,3+16+41=22+35,4+15+42=23+34,5+14+43=24+33,6+13+44=25+32,7+12+45=26+31,8+11+46=27+30,9+10+47=28+29,
100: 10, 1+19+41=21+39,2+18+42=22+38,3+17+43=23+37,4+16+44=24+36,5+15+45=25+35,6+14+46=26+34,7+13+47=27+33,8+12+48=28+32,9+11+49=29+31,10+10+50=30+30,
105: 10, 1+20+43=22+41,2+19+44=23+40,3+18+45=24+39,4+17+46=25+38,5+16+47=26+37,6+15+48=27+36,7+14+49=28+35,8+13+50=29+34,9+12+51=30+33,10+11+52=31+32,
110: 11, 1+21+45=23+43,2+20+46=24+42,3+19+47=25+41,4+18+48=26+40,5+17+49=27+39,6+16+50=28+38,7+15+51=29+37,8+14+52=30+36,9+13+53=31+35,10+12+54=32+34,11+11+55=33+33,
115: 11, 1+22+47=24+45,2+21+48=25+44,3+20+49=26+43,4+19+50=27+42,5+18+51=28+41,6+17+52=29+40,7+16+53=30+39,8+15+54=31+38,9+14+55=32+37,10+13+56=33+36,11+12+57=34+35,
120: 14, 1+23+49=25+47,2+22+50=26+46,3+21+51=27+45,4+20+52=28+44,5+19+53=29+43,6+18+54=30+42,7+17+55=31+41,8+16+56=32+40,9+15+57=33+39,10+14+58=34+38,11+13+59=35+37,
        12+12+60=36+36,4+12+60=20+44,20+28+36=52+60,
125: 12, 1+24+51=26+49,2+23+52=27+48,3+22+53=28+47,4+21+54=29+46,5+20+55=30+45,6+19+56=31+44,7+18+57=32+43,8+17+58=33+42,9+16+59=34+41,10+15+60=35+40,11+14+61=36+39,12+13+62=37+38,
126: 4, 3+9+39=21+27,9+15+45=21+57,9+21+45=27+63,21+27+33=45+51,

得到一串数。10:1, 15:1, 20:2, 25:2, 30:5, 35:3, 40:4, 42:4, 45:4, 50:5, 55:5, 60:8, 65:6, 70:8, 75:7, 80:8, 84:4, 85:8, 90:11, 95:9, 100:10, 105:10, 110:11, 115:11, 120:14, 125:12, 126:4, 130:13, 135:13, 140:16, 145:14,
150:17, 155:15, 160:16, 165:16, 168:4, 170:17, 175:17, 180:20, 185:18, 190:19, 195:19, 200:20, 205:20, 210:30, 215:21, 220:22, 225:22, 230:23, 235:23, 240:26, 245:24, 250:25, 252:4, 255:25, 260:26, 265:26,
270:29, 275:27, 280:32, 285:28, 290:29, 294:4, 295:29, 300:32, 305:30, 310:31, 315:31, 320:32, 325:32, 330:35, 335:33, 336:4, 340:34, 345:34, 350:40, 355:35, 360:38, 365:36, 370:37, 375:37, 378:4, 380:38,
385:38, 390:41, 395:39, 400:40, 405:40, 410:41, 415:41, 420:54, 425:42, 430:43, 435:43, 440:44, 445:44, 450:47, 455:45, 460:46, 462:4, 465:46, 470:47, 475:47, 480:50, 485:48, 490:56, 495:49, 500:50,

f[n_] := Module[{count = 0}, If[Mod[n, 10] == 5, count += Quotient[n, 10]]; If[Mod[n, 10] == 0, count += Quotient[n, 10]]; If[Mod[n, 70] == 0, count += Quotient[n, 70]];
If[Mod[n, 30] == 0, count += 2]; If[Mod[n, 42] == 0, count += 4]; count];r = {}; Do[count = f[n]; If[count > 0, AppendTo[r, ToString[n] <> ":" <> ToString[count]]];, {n, 500}]; Print[StringRiffle[r, ", "]]

王守恩

伟大的杨辉三角！！！——论文题目。

Sin[k*Pi/09]。k=1——04。组数=01, 01, 001, 001, 001, 001, 001, 001, 001, 001,
Sin[k*Pi/15]。k=1——07。组数=02, 03, 004, 005, 006, 007, 008, 009, 010, 011,
Sin[k*Pi/21]。k=1——10。组数=03, 06, 010, 015, 021, 028, 036, 045, 055, 066,
Sin[k*Pi/27]。k=1——13。组数=04, 10, 020, 035, 056, 084, 120, 165, 220,
Sin[k*Pi/33]。k=1——16。组数=05, 15, 035, 070, 126, 210, 330, 495, 715,
Sin[k*Pi/39]。k=1——19。组数=06, 21, 056, 126, 252, 462, 792,
Sin[k*Pi/45]。k=1——22。组数=07, 28, 084, 210, 462, 924,
Sin[k*Pi/51]。k=1——25。组数=08, 36, 120, 330, 792,
Sin[k*Pi/57]。k=1——28。组数=09, 45, 165, 495,
Sin[k*Pi/63]。k=1——31。组数=10, 55, 220, 715,
Sin[k*Pi/69]。k=1——34。组数=11, 66, 286,
Sin[k*Pi/75]。k=1——37。组数=12, 78, 364,
Sin[k*Pi/81]。k=1——40。组数=13, 91,
Sin[k*Pi/87]。k=1——43。组数=14,
Sin[k*Pi/93]。k=1——46。组数=15,
Sin[k*Pi/99]。k=1——49。组数=16,

{{1, 16, 136, 816, 3876, 15504, 54264, 170544, 490314, 1307504, 3268760, 7726160, 17383860, 37442160, 77558760, 155117520, 300540195, 565722720, 1037158320, 1855967520, 3247943160, 5567902560,
9364199760, 15471286560, 25140840660, 40225345056, 63432274896, 98672427616, 151532656696, 229911617056, 344867425584, 511738760544, 751616304549, 1093260079344, 1575580702584, 2250829575120,
3188675231420, 4481381406320, 6250347750920, 8654327655120, 11899700525790, 16253249498640, 22057981462440, 29752626158640, 39895566894540, 53194089192720, 70539987842520, 93052749919920}}
=== n=3: 16 组 ===
1. {1+32} = {34}
2. {2+31} = {35}
3. {3+30} = {36}
4. {4+29} = {37}
5. {5+28} = {38}
6. {6+27} = {39}
7. {7+26} = {40}
8. {8+25} = {41}
9. {9+24} = {42}
10. {10+23} = {43}
11. {11+22} = {44}
12. {12+21} = {45}
13. {13+20} = {46}
14. {14+19} = {47}
15. {15+18} = {48}
16. {16+17} = {49}
=== n=6: 136 组 ===
1. {1+1+32+32} = {34+34}
2. {1+2+31+32} = {34+35}
3. {1+3+30+32} = {34+36}
4. {1+4+29+32} = {34+37}
5. {1+5+28+32} = {34+38}
6. {1+6+27+32} = {34+39}
7. {1+7+26+32} = {34+40}
8. {1+8+25+32} = {34+41}
9. {1+9+24+32} = {34+42}
10. {1+10+23+32} = {34+43}
11. {1+11+22+32} = {34+44}
12. {1+12+21+32} = {34+45}
13. {1+13+20+32} = {34+46}
14. {1+14+19+32} = {34+47}
15. {1+15+18+32} = {34+48}
16. {1+16+17+32} = {34+49}
17. {2+2+31+31} = {35+35}
18. {2+3+30+31} = {35+36}
19. {2+4+29+31} = {35+37}
20. {2+5+28+31} = {35+38}
21. {2+6+27+31} = {35+39}
22. {2+7+26+31} = {35+40}
23. {2+8+25+31} = {35+41}
24. {2+9+24+31} = {35+42}
25. {2+10+23+31} = {35+43}
26. {2+11+22+31} = {35+44}
27. {2+12+21+31} = {35+45}
28. {2+13+20+31} = {35+46}
29. {2+14+19+31} = {35+47}
30. {2+15+18+31} = {35+48}
31. {2+16+17+31} = {35+49}
32. {3+3+30+30} = {36+36}
33. {3+4+29+30} = {36+37}
34. {3+5+28+30} = {36+38}
35. {3+6+27+30} = {36+39}
36. {3+7+26+30} = {36+40}
37. {3+8+25+30} = {36+41}
38. {3+9+24+30} = {36+42}
39. {3+10+23+30} = {36+43}
40. {3+11+22+30} = {36+44}
41. {3+12+21+30} = {36+45}
42. {3+13+20+30} = {36+46}
43. {3+14+19+30} = {36+47}
44. {3+15+18+30} = {36+48}
45. {3+16+17+30} = {36+49}
46. {4+4+29+29} = {37+37}
47. {4+5+28+29} = {37+38}
48. {4+6+27+29} = {37+39}
49. {4+7+26+29} = {37+40}
50. {4+8+25+29} = {37+41}
51. {4+9+24+29} = {37+42}
52. {4+10+23+29} = {37+43}
53. {4+11+22+29} = {37+44}
54. {4+12+21+29} = {37+45}
55. {4+13+20+29} = {37+46}
56. {4+14+19+29} = {37+47}
57. {4+15+18+29} = {37+48}
58. {4+16+17+29} = {37+49}
59. {5+5+28+28} = {38+38}
60. {5+6+27+28} = {38+39}
61. {5+7+26+28} = {38+40}
62. {5+8+25+28} = {38+41}
63. {5+9+24+28} = {38+42}
64. {5+10+23+28} = {38+43}
65. {5+11+22+28} = {38+44}
66. {5+12+21+28} = {38+45}
67. {5+13+20+28} = {38+46}
68. {5+14+19+28} = {38+47}
69. {5+15+18+28} = {38+48}
70. {5+16+17+28} = {38+49}
71. {6+6+27+27} = {39+39}
72. {6+7+26+27} = {39+40}
73. {6+8+25+27} = {39+41}
74. {6+9+24+27} = {39+42}
75. {6+10+23+27} = {39+43}
76. {6+11+22+27} = {39+44}
77. {6+12+21+27} = {39+45}
78. {6+13+20+27} = {39+46}
79. {6+14+19+27} = {39+47}
80. {6+15+18+27} = {39+48}
81. {6+16+17+27} = {39+49}
82. {7+7+26+26} = {40+40}
83. {7+8+25+26} = {40+41}
84. {7+9+24+26} = {40+42}
85. {7+10+23+26} = {40+43}
86. {7+11+22+26} = {40+44}
87. {7+12+21+26} = {40+45}
88. {7+13+20+26} = {40+46}
89. {7+14+19+26} = {40+47}
90. {7+15+18+26} = {40+48}
91. {7+16+17+26} = {40+49}
92. {8+8+25+25} = {41+41}
93. {8+9+24+25} = {41+42}
94. {8+10+23+25} = {41+43}
95. {8+11+22+25} = {41+44}
96. {8+12+21+25} = {41+45}
97. {8+13+20+25} = {41+46}
98. {8+14+19+25} = {41+47}
99. {8+15+18+25} = {41+48}
100. {8+16+17+25} = {41+49}
101. {9+9+24+24} = {42+42}
102. {9+10+23+24} = {42+43}
103. {9+11+22+24} = {42+44}
104. {9+12+21+24} = {42+45}
105. {9+13+20+24} = {42+46}
106. {9+14+19+24} = {42+47}
107. {9+15+18+24} = {42+48}
108. {9+16+17+24} = {42+49}
109. {10+10+23+23} = {43+43}
110. {10+11+22+23} = {43+44}
111. {10+12+21+23} = {43+45}
112. {10+13+20+23} = {43+46}
113. {10+14+19+23} = {43+47}
114. {10+15+18+23} = {43+48}
115. {10+16+17+23} = {43+49}
116. {11+11+22+22} = {44+44}
117. {11+12+21+22} = {44+45}
118. {11+13+20+22} = {44+46}
119. {11+14+19+22} = {44+47}
120. {11+15+18+22} = {44+48}
121. {11+16+17+22} = {44+49}
122. {12+12+21+21} = {45+45}
123. {12+13+20+21} = {45+46}
124. {12+14+19+21} = {45+47}
125. {12+15+18+21} = {45+48}
126. {12+16+17+21} = {45+49}
127. {13+13+20+20} = {46+46}
128. {13+14+19+20} = {46+47}
129. {13+15+18+20} = {46+48}
130. {13+16+17+20} = {46+49}
131. {14+14+19+19} = {47+47}
132. {14+15+18+19} = {47+48}
133. {14+16+17+19} = {47+49}
134. {15+15+18+18} = {48+48}
135. {15+16+17+18} = {48+49}
136. {16+16+17+17} = {49+49}
=== n=9: 816 组 ===
1. {1+1+1+32+32+32} = {34+34+34}
2. {1+1+2+31+32+32} = {34+34+35}
3. {1+1+3+30+32+32} = {34+34+36}
4. {1+1+4+29+32+32} = {34+34+37}
5. {1+1+5+28+32+32} = {34+34+38}
6. {1+1+6+27+32+32} = {34+34+39}
7. {1+1+7+26+32+32} = {34+34+40}
8. {1+1+8+25+32+32} = {34+34+41}
9. {1+1+9+24+32+32} = {34+34+42}
10. {1+1+10+23+32+32} = {34+34+43}
11. {1+1+11+22+32+32} = {34+34+44}
12. {1+1+12+21+32+32} = {34+34+45}
13. {1+1+13+20+32+32} = {34+34+46}
14. {1+1+14+19+32+32} = {34+34+47}
15. {1+1+15+18+32+32} = {34+34+48}
16. {1+1+16+17+32+32} = {34+34+49}
17. {1+2+2+31+31+32} = {34+35+35}
18. {1+2+3+30+31+32} = {34+35+36}
19. {1+2+4+29+31+32} = {34+35+37}
20. {1+2+5+28+31+32} = {34+35+38}
21. {1+2+6+27+31+32} = {34+35+39}
22. {1+2+7+26+31+32} = {34+35+40}
23. {1+2+8+25+31+32} = {34+35+41}
24. {1+2+9+24+31+32} = {34+35+42}
25. {1+2+10+23+31+32} = {34+35+43}
26. {1+2+11+22+31+32} = {34+35+44}
27. {1+2+12+21+31+32} = {34+35+45}
28. {1+2+13+20+31+32} = {34+35+46}
29. {1+2+14+19+31+32} = {34+35+47}
30. {1+2+15+18+31+32} = {34+35+48}
31. {1+2+16+17+31+32} = {34+35+49}
32. {1+3+3+30+30+32} = {34+36+36}
33. {1+3+4+29+30+32} = {34+36+37}
34. {1+3+5+28+30+32} = {34+36+38}
35. {1+3+6+27+30+32} = {34+36+39}
36. {1+3+7+26+30+32} = {34+36+40}
37. {1+3+8+25+30+32} = {34+36+41}
38. {1+3+9+24+30+32} = {34+36+42}
39. {1+3+10+23+30+32} = {34+36+43}
40. {1+3+11+22+30+32} = {34+36+44}
41. {1+3+12+21+30+32} = {34+36+45}
42. {1+3+13+20+30+32} = {34+36+46}
43. {1+3+14+19+30+32} = {34+36+47}
44. {1+3+15+18+30+32} = {34+36+48}
45. {1+3+16+17+30+32} = {34+36+49}
46. {1+4+4+29+29+32} = {34+37+37}
47. {1+4+5+28+29+32} = {34+37+38}
48. {1+4+6+27+29+32} = {34+37+39}
49. {1+4+7+26+29+32} = {34+37+40}
50. {1+4+8+25+29+32} = {34+37+41}
51. {1+4+9+24+29+32} = {34+37+42}
52. {1+4+10+23+29+32} = {34+37+43}
53. {1+4+11+22+29+32} = {34+37+44}
54. {1+4+12+21+29+32} = {34+37+45}
55. {1+4+13+20+29+32} = {34+37+46}
56. {1+4+14+19+29+32} = {34+37+47}
57. {1+4+15+18+29+32} = {34+37+48}
58. {1+4+16+17+29+32} = {34+37+49}
59. {1+5+5+28+28+32} = {34+38+38}
60. {1+5+6+27+28+32} = {34+38+39}
61. {1+5+7+26+28+32} = {34+38+40}
62. {1+5+8+25+28+32} = {34+38+41}
63. {1+5+9+24+28+32} = {34+38+42}
64. {1+5+10+23+28+32} = {34+38+43}
65. {1+5+11+22+28+32} = {34+38+44}
66. {1+5+12+21+28+32} = {34+38+45}
67. {1+5+13+20+28+32} = {34+38+46}
68. {1+5+14+19+28+32} = {34+38+47}
69. {1+5+15+18+28+32} = {34+38+48}
70. {1+5+16+17+28+32} = {34+38+49}
71. {1+6+6+27+27+32} = {34+39+39}
72. {1+6+7+26+27+32} = {34+39+40}
73. {1+6+8+25+27+32} = {34+39+41}
74. {1+6+9+24+27+32} = {34+39+42}
75. {1+6+10+23+27+32} = {34+39+43}
76. {1+6+11+22+27+32} = {34+39+44}
77. {1+6+12+21+27+32} = {34+39+45}
78. {1+6+13+20+27+32} = {34+39+46}
79. {1+6+14+19+27+32} = {34+39+47}
80. {1+6+15+18+27+32} = {34+39+48}
81. {1+6+16+17+27+32} = {34+39+49}
82. {1+7+7+26+26+32} = {34+40+40}
83. {1+7+8+25+26+32} = {34+40+41}
84. {1+7+9+24+26+32} = {34+40+42}
85. {1+7+10+23+26+32} = {34+40+43}
86. {1+7+11+22+26+32} = {34+40+44}
87. {1+7+12+21+26+32} = {34+40+45}
88. {1+7+13+20+26+32} = {34+40+46}
89. {1+7+14+19+26+32} = {34+40+47}
90. {1+7+15+18+26+32} = {34+40+48}
91. {1+7+16+17+26+32} = {34+40+49}
92. {1+8+8+25+25+32} = {34+41+41}
93. {1+8+9+24+25+32} = {34+41+42}
94. {1+8+10+23+25+32} = {34+41+43}
95. {1+8+11+22+25+32} = {34+41+44}
96. {1+8+12+21+25+32} = {34+41+45}
97. {1+8+13+20+25+32} = {34+41+46}
98. {1+8+14+19+25+32} = {34+41+47}
99. {1+8+15+18+25+32} = {34+41+48}
......
电脑来得了 816。电脑来不了 3876。人脑来得了3876。人脑来得了15504。人脑来得了54264, 170544, ......